Details

sample1.6s

Algorithm

intervals

Results

1.3s	124×	body	10240	exit
62.0ms	51×	body	1280	nan
49.0ms	261×	body	80	valid
35.0ms	49×	body	640	nan
11.0ms	21×	body	320	nan
4.0ms	12×	body	160	nan
1.0ms	7×	body	80	nan

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	60	123
1	148	123
2	592	121
3	3593	88
done	5001	78

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.4b

localize54.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (+ (/ 771.3234287776531 (- 3.0 z)) (+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))) (/ -176.6150291621406 (- 4.0 z)))
1.0b	(sqrt (* PI 2.0))
1.0b	(* PI (sqrt (* PI 2.0)))
2.5b	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
23×	`add-log-exp`
14×	`frac-add`
13×	`sum-log` `distribute-lft-out`
9×	`pow1`
8×	`add-sqr-sqrt`
6×	`add-exp-log` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
4×	`associate-r`
3×	`associate-l`
2×	`+-commutative` `associate-+l+` `sqrt-pow1` `pow-prod-down` `sqrt-prod`
1×	`pow1/2` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

1.6s	(+ (+ (/ 771.3234287776531 (- 3.0 z)) (+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))) (/ -176.6150291621406 (- 4.0 z)))
1.0ms	(sqrt (* PI 2.0))
9.0ms	(* PI (sqrt (* PI 2.0)))
108.0ms	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))

series162.0ms

Counts

4 → 8

Calls

4 calls:

105.0ms	(+ (+ (/ 771.3234287776531 (- 3.0 z)) (+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))) (/ -176.6150291621406 (- 4.0 z)))
0.0ms	(sqrt (* PI 2.0))
0.0ms	(* PI (sqrt (* PI 2.0)))
56.0ms	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))

simplify602.0ms

Counts

80 → 80

Iterations

Useful iterations: 2 (184.0ms)

Iter	Nodes	Cost
0	239	2288
1	663	2130
2	2367	2050
done	5000	2050

prune775.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize61.0ms

Local error

Found 4 expressions with local error:

1.0b	(* PI (sqrt (* PI 2.0)))
1.0b	(* PI (sqrt (* PI 2.0)))
1.0b	(* PI (sqrt (* PI 2.0)))
2.5b	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`associate-r`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
9×	`associate-l` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `sum-log` `sqrt-prod` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
2×	`flip3-+` `frac-add` `flip-+`
1×	`+-commutative` `associate-+l+`

Counts

4 → 74

Calls

4 calls:

7.0ms	(* PI (sqrt (* PI 2.0)))
9.0ms	(* PI (sqrt (* PI 2.0)))
7.0ms	(* PI (sqrt (* PI 2.0)))
109.0ms	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))

series53.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(* PI (sqrt (* PI 2.0)))
0.0ms	(* PI (sqrt (* PI 2.0)))
0.0ms	(* PI (sqrt (* PI 2.0)))
53.0ms	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))

simplify1.1s

Counts

80 → 80

Iterations

Useful iterations: 3 (284.0ms)

Iter	Nodes	Cost
0	105	1022
1	261	956
2	770	886
3	2608	874
done	5001	874

prune836.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize69.0ms

Local error

Found 4 expressions with local error:

2.5b	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))
2.5b	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))
2.5b	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))
2.5b	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))

rewrite422.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity` `add-log-exp`
12×	`sum-log` `distribute-lft-out`
8×	`flip3-+` `frac-add` `flip-+`
4×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `add-cbrt-cube`

Counts

4 → 68

Calls

4 calls:

105.0ms	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))
105.0ms	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))
105.0ms	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))
105.0ms	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))
54.0ms	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))
55.0ms	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))
52.0ms	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))

simplify651.0ms

Counts

80 → 80

Iterations

Useful iterations: 3 (186.0ms)

Iter	Nodes	Cost
0	74	1820
1	201	1736
2	578	1600
3	2020	1552
done	5001	1552

prune1.0s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.1b

localize84.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (pow (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) 3) (pow (/ -1259.1392167224028 (- 2.0 z)) 3))
2.5b	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))
2.5b	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))
2.5b	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))

rewrite558.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
22×	`distribute-lft-out`
21×	`add-log-exp`
10×	`sum-log`
8×	`unpow-prod-down` `flip3-+` `cube-prod` `frac-add` `flip-+`
4×	`pow1` `add-exp-log` `+-commutative` `cube-div` `add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-+l+`
1×	`sum-cubes`

Counts

4 → 74

Calls

4 calls:

238.0ms	(+ (pow (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) 3) (pow (/ -1259.1392167224028 (- 2.0 z)) 3))
105.0ms	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))
105.0ms	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))
107.0ms	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))

series267.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(+ (pow (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) 3) (pow (/ -1259.1392167224028 (- 2.0 z)) 3))
57.0ms	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))
52.0ms	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))
57.0ms	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -1259.1392167224028 (- 2.0 z)))

simplify420.0ms

Counts

86 → 86

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	122	2070
1	342	1952
2	1306	1808
done	5000	1808

prune1.2s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.1b

regimes236.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	95
1	75	95
done	75	95

end0.0ms

sample45.5s

Algorithm

intervals

Results

40.5s	3835×	body	10240	exit
1.6s	1525×	body	1280	nan
1.5s	8100×	body	80	valid
928.0ms	1275×	body	640	nan
313.0ms	597×	body	320	nan
116.0ms	328×	body	160	nan
56.0ms	304×	body	80	nan