Details

sample108.0ms

Algorithm

intervals

Results

44.0ms

493×

body

valid

simplify11.3s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	28	31
1	66	29
2	197	29
3	567	29
4	1182	29
5	1729	29
6	2384	29
7	3700	29
8	4768	29
done	4768	29

prune15.0ms

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

localize29.0ms

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)

rewrite33.0ms

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)
11.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
8.0ms	(* (* (* x 18.0) y) z)

series44.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (* x 18.0) y)
4.0ms	(* (* j 27.0) k)
29.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: 2 (252.0ms)

Iter	Nodes	Cost
0	158	1015
1	403	980
2	1682	822
done	5000	822

prune192.0ms

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

localize25.0ms

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)

rewrite32.0ms

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))
10.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
8.0ms	(* (* (* x 18.0) y) z)

series42.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: 2 (233.0ms)

Iter	Nodes	Cost
0	156	1012
1	395	979
2	1620	821
done	5001	821

prune164.0ms

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))

rewrite30.0ms

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:

10.0ms	(* (* (* x 18.0) y) z)
6.0ms	(cbrt (* (* (* x 18.0) y) z))
6.0ms	(cbrt (* (* (* x 18.0) y) z))
6.0ms	(cbrt (* (* (* x 18.0) y) z))

series86.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* (* x 18.0) y) z)
27.0ms	(cbrt (* (* (* x 18.0) y) z))
26.0ms	(cbrt (* (* (* x 18.0) y) z))
27.0ms	(cbrt (* (* (* x 18.0) y) z))

simplify1.8s

Counts

60 → 60

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	99	727
1	240	701
2	943	576
done	5000	564

prune197.0ms

Filtered

46 candidates to 60 candidates (-30.4%)

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

localize31.0ms

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:

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

series87.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt k)
24.0ms	(cbrt k)
28.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

simplify1.3s

Counts

79 → 79

Iterations

Useful iterations: 2 (140.0ms)

Iter	Nodes	Cost
0	138	861
1	334	826
2	1177	708
done	5000	708

prune110.0ms

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

regimes2.0s

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

sample3.5s

Algorithm

intervals

Results

1.7s

16410×

body

valid

Details

sample108.0ms

simplify11.3s

prune15.0ms

localize29.0ms

rewrite33.0ms

series44.0ms

simplify1.1s

prune192.0ms

localize25.0ms

rewrite32.0ms

series42.0ms

simplify1.2s

prune164.0ms

localize27.0ms

rewrite30.0ms

series86.0ms

simplify1.8s

prune197.0ms

localize31.0ms

rewrite24.0ms

series87.0ms

simplify1.3s

prune110.0ms

regimes2.0s

bsearch0.0ms

simplify3.0ms

end0.0ms

sample3.5s

Profiling