Details

sample109.0ms

Algorithm

intervals

Results

45.0ms

493×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	28	31
1	66	29
2	197	29
3	570	29
4	1229	29
5	1812	29
6	2697	29
7	4216	29
done	5001	29

prune16.0ms

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: 2.6b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
1.7b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.3b	(* (* (* x 18.0) y) z)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (* x 18.0) y)
5.0ms	(* (* j 27.0) k)
16.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
8.0ms	(* (* (* x 18.0) y) z)

series45.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (* x 18.0) y)
4.0ms	(* (* j 27.0) k)
30.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

simplify566.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (143.0ms)

Iter	Nodes	Cost
0	158	1015
1	417	980
2	1781	822
done	5000	822

prune206.0ms

Filtered

51 candidates to 93 candidates (-82.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	83	10	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	10	94

Merged error: 1.1b

Counts

94 → 10

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* j (* 27.0 k))
1.7b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.3b	(* (* (* x 18.0) y) z)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (* x 18.0) y)
5.0ms	(* j (* 27.0 k))
11.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
8.0ms	(* (* (* x 18.0) y) z)

series45.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (* x 18.0) y)
4.0ms	(* j (* 27.0 k))
30.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

simplify565.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (138.0ms)

Iter	Nodes	Cost
0	156	1012
1	407	979
2	1712	821
done	5000	821

prune174.0ms

Filtered

51 candidates to 93 candidates (-82.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	94	9	103

Merged error: 1.1b

Counts

103 → 9

localize27.0ms

Local error

Found 4 expressions with local error:

4.3b	(* (* (* x 18.0) y) z)
15.6b	(cbrt (* (* (* x 18.0) y) z))
15.6b	(cbrt (* (* (* x 18.0) y) z))
15.6b	(cbrt (* (* (* x 18.0) y) z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

8.0ms	(* (* (* x 18.0) y) z)
7.0ms	(cbrt (* (* (* x 18.0) y) z))
6.0ms	(cbrt (* (* (* x 18.0) y) z))
6.0ms	(cbrt (* (* (* x 18.0) y) z))

series98.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* (* x 18.0) y) z)
29.0ms	(cbrt (* (* (* x 18.0) y) z))
30.0ms	(cbrt (* (* (* x 18.0) y) z))
32.0ms	(cbrt (* (* (* x 18.0) y) z))

simplify439.0ms

Counts

60 → 60

Iterations

Useful iterations: done (437.0ms)

Iter	Nodes	Cost
0	99	727
1	242	701
2	976	579
done	5000	573

prune211.0ms

Filtered

45 candidates to 60 candidates (-33.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	60	9	69

Merged error: 1.1b

Counts

69 → 9

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
1.7b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.3b	(* (* (* x 18.0) y) z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`cbrt-prod` `associate-r`
4×	`associate-l` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow1/3` `associate-r/` `-commutative`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

2.0ms	(cbrt k)
1.0ms	(cbrt k)
11.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
8.0ms	(* (* (* x 18.0) y) z)

series93.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt k)
27.0ms	(cbrt k)
32.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

simplify470.0ms

Counts

79 → 79

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	138	861
1	342	826
2	1277	708
done	5000	708

prune113.0ms

Filtered

53 candidates to 79 candidates (-49.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	79	9	88

Merged error: 1.1b

Counts

88 → 9

regimes2.2s

Accuracy

0% (3.3b remaining)

Error of 5.3b against oracle of 2.0b and baseline of 5.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	48
1	42	48
done	42	48

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.6s

16410×

body

valid

Details

sample109.0ms

simplify2.4s

prune16.0ms

localize22.0ms

rewrite37.0ms

series45.0ms

simplify566.0ms

prune206.0ms

localize26.0ms

rewrite33.0ms

series45.0ms

simplify565.0ms

prune174.0ms

localize27.0ms

rewrite29.0ms

series98.0ms

simplify439.0ms

prune211.0ms

localize27.0ms

rewrite24.0ms

series93.0ms

simplify470.0ms

prune113.0ms

regimes2.2s

bsearch0.0ms

simplify3.0ms

end0.0ms

sample3.3s

Profiling