Details

sample106.0ms

Algorithm

intervals

Results

29.0ms	109×	body	320	valid
29.0ms	142×	body	160	valid
22.0ms	253×	body	80	nan
0.0ms	5×	body	80	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	19	37
1	43	37
2	119	36
3	284	36
4	529	36
5	772	36
6	942	36
7	1142	36
8	2476	36
done	5000	36

prune10.0ms

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: 37.5b

Counts

2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

8.4b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
8.4b	(cbrt (* (- (sqrt (- (* g g) (* h h))) g) (/ 1.0 (* 2.0 a))))
31.0b	(sqrt (- (* g g) (* h h)))
31.0b	(sqrt (- (* g g) (* h h)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-div`
8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
4×	`add-exp-log` `frac-times` `sqrt-div` `add-cbrt-cube` `add-log-exp`
3×	`associate-r/` `associate-l/`
2×	`cbrt-prod` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

13.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
12.0ms	(cbrt (* (- (sqrt (- (* g g) (* h h))) g) (/ 1.0 (* 2.0 a))))
4.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
62.0ms	(cbrt (* (- (sqrt (- (* g g) (* h h))) g) (/ 1.0 (* 2.0 a))))
8.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(sqrt (- (* g g) (* h h)))

simplify469.0ms

Counts

72 → 72

Iterations

Useful iterations: done (466.0ms)

Iter	Nodes	Cost
0	205	1451
1	462	1269
2	1543	1169
done	5002	1149

prune285.0ms

Filtered

66 candidates to 72 candidates (-9.1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	55	17	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	17	73

Merged error: 32.6b

Counts

73 → 17

localize21.0ms

Local error

Found 4 expressions with local error:

5.0b	(- (* g g) (* h h))
8.4b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
31.0b	(sqrt (- (* g g) (* h h)))
31.0b	(sqrt (- (* g g) (* h h)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`cbrt-div` `flip3--` `flip--`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
3×	`difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/`
1×	`cbrt-prod` `sub-neg` `pow1/3` `diff-log` `associate-*l/`

Counts

4 → 59

Calls

4 calls:

4.0ms	(- (* g g) (* h h))
14.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
4.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series95.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* g g) (* h h))
71.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
10.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(sqrt (- (* g g) (* h h)))

simplify992.0ms

Counts

71 → 71

Iterations

Useful iterations: 3 (343.0ms)

Iter	Nodes	Cost
0	136	1115
1	305	991
2	1058	887
3	4241	865
done	5000	865

prune259.0ms

Filtered

60 candidates to 71 candidates (-18.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	70	18	88

Merged error: 32.5b

Counts

88 → 18

localize23.0ms

Local error

Found 4 expressions with local error:

5.0b	(- (* g g) (* h h))
8.4b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
31.0b	(sqrt (- (* g g) (* h h)))
31.0b	(sqrt (- (* g g) (* h h)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`cbrt-div` `flip3--` `flip--`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
3×	`difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/`
1×	`cbrt-prod` `sub-neg` `pow1/3` `diff-log` `associate-*l/`

Counts

4 → 59

Calls

4 calls:

4.0ms	(- (* g g) (* h h))
14.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
5.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series97.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* g g) (* h h))
75.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
7.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(sqrt (- (* g g) (* h h)))

simplify984.0ms

Counts

71 → 71

Iterations

Useful iterations: 3 (336.0ms)

Iter	Nodes	Cost
0	136	1115
1	305	991
2	1058	887
3	4226	865
done	5000	865

prune241.0ms

Filtered

60 candidates to 71 candidates (-18.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	17	17
Picked	1	0	1
Done	0	0	0
Total	71	18	89

Merged error: 32.5b

Counts

89 → 18

localize21.0ms

Local error

Found 4 expressions with local error:

5.0b	(- (* g g) (* h h))
8.4b	(cbrt (* (- (sqrt (- (* g g) (* h h))) g) (/ 1.0 (* 2.0 a))))
31.0b	(sqrt (- (* g g) (* h h)))
31.0b	(sqrt (- (* g g) (* h h)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`cbrt-div` `flip3--` `flip--`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
3×	`difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/`
1×	`cbrt-prod` `sub-neg` `pow1/3` `diff-log` `associate-*r/`

Counts

4 → 59

Calls

4 calls:

5.0ms	(- (* g g) (* h h))
12.0ms	(cbrt (* (- (sqrt (- (* g g) (* h h))) g) (/ 1.0 (* 2.0 a))))
4.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* g g) (* h h))
61.0ms	(cbrt (* (- (sqrt (- (* g g) (* h h))) g) (/ 1.0 (* 2.0 a))))
7.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(sqrt (- (* g g) (* h h)))

simplify1.1s

Counts

71 → 71

Iterations

Useful iterations: 3 (320.0ms)

Iter	Nodes	Cost
0	163	1146
1	354	1008
2	1110	918
3	3743	900
done	5000	900

prune159.0ms

Filtered

59 candidates to 71 candidates (-20.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	2	15	17
Picked	1	0	1
Done	0	0	0
Total	72	17	89

Merged error: 32.5b

Counts

89 → 17

regimes769.0ms

Accuracy

67.2% (1.1b remaining)

Error of 31.7b against oracle of 30.6b and baseline of 34.0b

bsearch49.0ms

Steps

Iters	Range		Point
4	-6.728240533841265e-160	-3.494541859308342e-160	-3.5793765345256297e-160

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	36	77
1	43	75
done	43	75

end0.0ms

sample3.1s

Algorithm

intervals

Results

990.0ms	3679×	body	320	valid
758.0ms	4191×	body	160	valid
702.0ms	7817×	body	80	nan
12.0ms	130×	body	80	valid

Details

sample106.0ms

simplify1.1s

prune10.0ms

localize26.0ms

rewrite35.0ms

series150.0ms

simplify469.0ms

prune285.0ms

localize21.0ms

rewrite28.0ms

series95.0ms

simplify992.0ms

prune259.0ms

localize23.0ms

rewrite28.0ms

series97.0ms

simplify984.0ms

prune241.0ms

localize21.0ms

rewrite27.0ms

series82.0ms

simplify1.1s

prune159.0ms

regimes769.0ms

bsearch49.0ms

simplify4.0ms

end0.0ms

sample3.1s

Profiling