Details

analyze333.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
68.7%	31.2%	0.1%	7
68.7%	31.2%	0.1%	8
71.8%	28.1%	0.1%	9
71.8%	28.1%	0.1%	10
73.4%	26.5%	0.1%	11
73.4%	26.5%	0.1%	12
74.1%	25.8%	0.1%	13
74.1%	25.8%	0.1%	14

sample30.0ms

Algorithm

intervals

Results

9.0ms	197×	body	80	valid
7.0ms	27×	body	2560	valid
2.0ms	9×	body	1280	valid
2.0ms	6×	body	5120	valid
2.0ms	10×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	1×	body	160	valid

simplify21.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	23	23
1	23	23

prune3.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 39.1b

Counts

2 → 1

localize217.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.0b	(sqrt.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
0.5b	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
30.3b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1_binary64_1794` `add-log-exp_binary64_1817`
7×	`*-un-lft-identity_binary64_1852`
6×	`add-sqr-sqrt_binary64_1837`
5×	`add-cube-cbrt_binary64_1823`
4×	`add-cbrt-cube_binary64_1824` `add-exp-log_binary64_1816` `flip-+_binary64_1877` `sqrt-div_binary64_1832` `sqrt-prod_binary64_1831` `flip3-+_binary64_1850`
3×	`sqrt-pow1_binary64_1833`
2×	`+-commutative_binary64_1919` `associate-*r/_binary64_1913` `sum-log_binary64_1762` `pow1/2_binary64_1784`
1×	`pow-prod-down_binary64_1775` `distribute-lft-out_binary64_1896` `rem-sqrt-square_binary64_1840`

Counts

4 → 51

Calls

4 calls:

6.0ms	(+.f64 (.f64 re re) (.f64 im im))
11.0ms	(sqrt.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
10.0ms	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
6.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series293.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+.f64 (.f64 re re) (.f64 im im))
78.0ms	(sqrt.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
81.0ms	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
70.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	175	2487
1	175	2487
0	175	2487
1	175	2487
0	1	3
1	1	3
0	297	2220
1	297	2220
0	297	2220
1	297	2220
0	1	3
1	1	3
0	244	2688
1	244	2688
0	244	2688
1	244	2688
0	1	3
1	1	3
0	137	2344
1	137	2344
0	137	2344
1	137	2344
0	1	3
1	1	3

simplify153.0ms

Counts

63 → 63

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	4954	940
1	4954	940

prune72.0ms

Filtered

48 candidates to 63 candidates (-31.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	55	8	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	9	64

Merged error: 32.4b

Counts

64 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
0.5b	(+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
30.3b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
30.3b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_1852`
8×	`add-log-exp_binary64_1817` `add-sqr-sqrt_binary64_1837`
6×	`add-cube-cbrt_binary64_1823` `pow1_binary64_1794` `sqrt-prod_binary64_1831`
4×	`add-cbrt-cube_binary64_1824` `add-exp-log_binary64_1816` `flip-+_binary64_1877` `sqrt-div_binary64_1832` `flip3-+_binary64_1850`
2×	`distribute-lft-out_binary64_1896` `sqrt-pow1_binary64_1833` `rem-sqrt-square_binary64_1840` `+-commutative_binary64_1919` `sum-log_binary64_1762` `pow1/2_binary64_1784`

Counts

4 → 54

Calls

4 calls:

11.0ms	(+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
8.0ms	(+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
76.0ms	(+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
67.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
65.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	175	2487
1	175	2487
0	175	2487
1	175	2487
0	1	3
1	1	3
0	175	2487
1	175	2487
0	175	2487
1	175	2487
0	1	3
1	1	3
0	297	2220
1	297	2220
0	297	2220
1	297	2220
0	1	3
1	1	3
0	297	2220
1	297	2220
0	297	2220
1	297	2220
0	1	3
1	1	3

simplify107.0ms

Counts

66 → 66

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4943	982
1	4943	982

prune75.0ms

Filtered

48 candidates to 66 candidates (-37.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	66	9	75

Merged error: 32.4b

Counts

75 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (.f64 2 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
0.5b	(+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
3.7b	(exp.f64 (log.f64 (sqrt.f64 (.f64 2 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))))))
30.3b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1_binary64_1794`
9×	`*-un-lft-identity_binary64_1852`
8×	`add-sqr-sqrt_binary64_1837`
7×	`exp-prod_binary64_1802` `add-cube-cbrt_binary64_1823`
6×	`add-log-exp_binary64_1817` `sqrt-div_binary64_1832`
5×	`sqrt-pow1_binary64_1833` `sqrt-prod_binary64_1831`
4×	`add-cbrt-cube_binary64_1824` `add-exp-log_binary64_1816` `log-prod_binary64_1766` `flip-+_binary64_1877` `exp-sum_binary64_1807` `associate-*r/_binary64_1913` `log-pow_binary64_1769` `flip3-+_binary64_1850`
3×	`pow1/2_binary64_1784`
2×	`log-div_binary64_1767` `pow-prod-down_binary64_1775` `exp-diff_binary64_1809`
1×	`distribute-lft-out_binary64_1896` `rem-exp-log_binary64_1814` `rem-sqrt-square_binary64_1840` `+-commutative_binary64_1919` `sum-log_binary64_1762`

Counts

4 → 61

Calls

4 calls:

9.0ms	(sqrt.f64 (.f64 2 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
8.0ms	(+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
13.0ms	(exp.f64 (log.f64 (sqrt.f64 (.f64 2 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))))))
6.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(sqrt.f64 (.f64 2 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
78.0ms	(+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
78.0ms	(exp.f64 (log.f64 (sqrt.f64 (.f64 2 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))))))
69.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	175	2487
1	175	2487
0	175	2487
1	175	2487
0	1	3
1	1	3
0	236	2754
1	236	2754
0	236	2754
1	236	2754
0	1	3
1	1	3
0	297	2220
1	297	2220
0	297	2220
1	297	2220
0	1	3
1	1	3
0	244	2688
1	244	2688
0	244	2688
1	244	2688
0	1	3
1	1	3

simplify162.0ms

Counts

73 → 73

Iterations

Useful iterations: 0 (135.0ms)

Iter	Nodes	Cost
0	4943	1220
1	4943	1220

prune67.0ms

Filtered

50 candidates to 73 candidates (-46.0%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	71	11	82

Merged error: 32.4b

Counts

82 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (.f64 2 (exp.f64 (log.f64 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))))))
0.5b	(+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
4.6b	(exp.f64 (log.f64 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))
30.3b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_1852`
9×	`pow1_binary64_1794`
8×	`add-sqr-sqrt_binary64_1837`
7×	`add-cube-cbrt_binary64_1823`
6×	`add-log-exp_binary64_1817`
4×	`exp-prod_binary64_1802` `add-cbrt-cube_binary64_1824` `log-div_binary64_1767` `add-exp-log_binary64_1816` `log-prod_binary64_1766` `flip-+_binary64_1877` `sqrt-div_binary64_1832` `sqrt-prod_binary64_1831` `exp-diff_binary64_1809` `exp-sum_binary64_1807` `flip3-+_binary64_1850`
3×	`sqrt-pow1_binary64_1833`
2×	`distribute-lft-out_binary64_1896` `associate-*r/_binary64_1913` `pow1/2_binary64_1784`
1×	`pow-prod-down_binary64_1775` `rem-exp-log_binary64_1814` `rem-sqrt-square_binary64_1840` `+-commutative_binary64_1919` `sum-log_binary64_1762` `log-pow_binary64_1769`

Counts

4 → 58

Calls

4 calls:

12.0ms	(sqrt.f64 (.f64 2 (exp.f64 (log.f64 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))))))
8.0ms	(+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
12.0ms	(exp.f64 (log.f64 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(sqrt.f64 (.f64 2 (exp.f64 (log.f64 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))))))
81.0ms	(+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
75.0ms	(exp.f64 (log.f64 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))
67.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	175	2487
1	175	2487
0	175	2487
1	175	2487
0	1	3
1	1	3
0	212	2687
1	212	2687
0	212	2687
1	212	2687
0	1	3
1	1	3
0	297	2220
1	297	2220
0	297	2220
1	297	2220
0	1	3
1	1	3
0	262	2754
1	262	2754
0	262	2754
1	262	2754
0	1	3
1	1	3

simplify163.0ms

Counts

70 → 70

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	4900	1125
1	4900	1125

prune51.0ms

Filtered

48 candidates to 70 candidates (-45.8%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	8	8
Picked	1	0	1
Done	0	2	2
Total	68	13	81

Merged error: 32.4b

Counts

81 → 13

regimes312.0ms

Accuracy

92% (0.6b remaining)

Error of 31.6b against oracle of 31.0b and baseline of 38.3b

bsearch54.0ms

Steps

Iters	Range		Point
11	2.5906222288055954e+152	3.540644367014216e+178	1.3294784276139265e+154
9	-4.7194984840124725e-250	-8.194357847846216e-259	-8.34229420601528e-259

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	47	75
1	47	75

end0.0ms

sample920.0ms

Algorithm

intervals

Results

299.0ms	6057×	body	80	valid
195.0ms	698×	body	2560	valid
111.0ms	492×	body	1280	valid
92.0ms	266×	body	5120	valid
50.0ms	278×	body	640	valid
19.0ms	144×	body	320	valid
6.0ms	65×	body	160	valid

Details

analyze333.0ms

sample30.0ms

simplify21.0ms

prune3.0ms

localize217.0ms

rewrite33.0ms

series293.0ms

simplify153.0ms

prune72.0ms

localize13.0ms

rewrite31.0ms

series284.0ms

simplify107.0ms

prune75.0ms

localize14.0ms

rewrite38.0ms

series301.0ms

simplify162.0ms

prune67.0ms

localize14.0ms

rewrite40.0ms

series303.0ms

simplify163.0ms

prune51.0ms

regimes312.0ms

bsearch54.0ms

simplify7.0ms

end0.0ms

sample920.0ms

Profiling