Details

sample42.0ms

Algorithm

intervals

Results

9.0ms	237×	body	80	valid
9.0ms	31×	body	1280	valid
3.0ms	23×	body	640	valid
2.0ms	11×	body	2560	valid
2.0ms	21×	body	320	valid
1.0ms	16×	body	160	valid

simplify7.5s

Counts

1 → 1

Iterations

Useful iterations: 5 (216.0ms)

Iter	Nodes	Cost
0	9	15
1	22	13
2	63	11
3	155	9
4	300	7
5	551	5
6	1417	5
7	4750	5
done	5000	5

prune13.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

7.0ms

(* y (- x z))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(* y (- x z))

simplify2.1s

Counts

29 → 29

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	52	217
1	112	206
2	278	186
3	786	186
4	2094	186
done	5001	186

prune30.0ms

Filtered

17 candidates to 29 candidates (-70.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Merged error: 0b

Counts

30 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (- x z))) (cbrt (* y (- x z))))
2.6b	(cbrt (* y (- x z)))
2.6b	(cbrt (* y (- x z)))
2.6b	(cbrt (* y (- x z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (cbrt (* y (- x z))) (cbrt (* y (- x z))))
5.0ms	(cbrt (* y (- x z)))
5.0ms	(cbrt (* y (- x z)))
5.0ms	(cbrt (* y (- x z)))

series166.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (cbrt (* y (- x z))) (cbrt (* y (- x z))))
37.0ms	(cbrt (* y (- x z)))
39.0ms	(cbrt (* y (- x z)))
36.0ms	(cbrt (* y (- x z)))

simplify2.4s

Counts

84 → 84

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	120	1198
1	254	1085
2	652	984
3	1778	879
4	4439	835
done	5001	835

prune91.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0b

Counts

87 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- x z))
0.2b	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
2.1b	(sqrt (* y (- x z)))
2.1b	(sqrt (* y (- x z)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-r` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

7.0ms	(* y (- x z))
14.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
5.0ms	(sqrt (* y (- x z)))
6.0ms	(sqrt (* y (- x z)))

series75.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* y (- x z))
31.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
19.0ms	(sqrt (* y (- x z)))
17.0ms	(sqrt (* y (- x z)))

simplify1.8s

Counts

121 → 121

Iterations

Useful iterations: 3 (623.0ms)

Iter	Nodes	Cost
0	128	1385
1	250	1039
2	688	959
3	2636	915
done	5000	915

prune85.0ms

Filtered

69 candidates to 121 candidates (-75.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	121	3	124

Merged error: 0b

Counts

124 → 3

regimes134.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample1.1s

Algorithm

intervals

Results

274.0ms	7145×	body	80	valid
172.0ms	976×	body	1280	valid
117.0ms	902×	body	640	valid
62.0ms	579×	body	320	valid
47.0ms	226×	body	2560	valid
26.0ms	375×	body	160	valid

Details

sample42.0ms

simplify7.5s

prune13.0ms

localize4.0ms

rewrite7.0ms

series8.0ms

simplify2.1s

prune30.0ms

localize8.0ms

rewrite24.0ms

series166.0ms

simplify2.4s

prune91.0ms

localize6.0ms

rewrite37.0ms

series75.0ms

simplify1.8s

prune85.0ms

regimes134.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling