Details

analyze91.0ms (7.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample14.0ms (1.1%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify90.0ms (7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	12
1	8	12

prune2.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

35.3b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
33.1b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite11.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-sqr-sqrt_binary64_1805` `add-log-exp_binary64_1822`
3×	`add-cube-cbrt_binary64_1818` `sqrt-prod_binary64_1799` `*-un-lft-identity_binary64_1783` `pow1_binary64_1844`
2×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `flip-+_binary64_1757` `sqrt-div_binary64_1800` `flip3-+_binary64_1786`
1×	`+-commutative_binary64_1713` `pow1/2_binary64_1863` `sum-log_binary64_1874` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`

Counts

2 → 26

Calls

2 calls:

4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
4.0ms	(+.f64 (.f64 re re) (.f64 im im))

series161.0ms (12.5%)

Counts

2 → 24

Calls

2 calls:

90.0ms	(+.f64 (.f64 re re) (.f64 im im))
71.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 330 to 312 computations (5.5% saved)

simplify54.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4963	625
1	4963	625

prune35.0ms (2.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	45	5	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	6	51

Error

0.3b

Counts

51 → 6

Compiler

Compiled 549 to 164 computations (70.1% saved)

localize1.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune5.0ms (0.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	1	1
Total	6	6

Error

0.3b

Counts

6 → 6

Compiler

Compiled 14 to 15 computations (-7.1% saved)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms (0.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	2	2
Total	6	6

Error

0.3b

Counts

6 → 6

Compiler

Compiled 12 to 12 computations (0% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	3	3
Total	6	6

Error

0.3b

Counts

6 → 6

Compiler

Compiled 0 to 0 computations (0% saved)

regimes215.0ms (16.7%)

Accuracy

Total 17.8b remaining (98.1%)

Threshold costs 0b (0%)

Compiler

Compiled 563 to 415 computations (26.3% saved)

bsearch50.0ms (3.9%)

Steps

Iters	Range		Point
9	3.604721492812292e+58	6.480136849572818e+64	9.534116365977096e+63
9	3.4692688565905265e-189	7.598972443168104e-183	8.533846604967322e-187
5	-1.5117607650568308e-254	-6.255253866402913e-255	-1.0769213379704504e-254
9	-6.029704194091558e+147	-5.954069603140118e+140	-1.030303640092379e+143

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	55
1	35	55

end0.0ms (0%)

sample523.0ms (40.7%)

Algorithm

1×

intervals

Results

248.0ms

8000×

body

128

valid

Compiler

Compiled 98 to 68 computations (30.6% saved)

Details

analyze91.0ms (7.1%)

sample14.0ms (1.1%)

simplify90.0ms (7%)

prune2.0ms (0.2%)

localize5.0ms (0.4%)

rewrite11.0ms (0.8%)

series161.0ms (12.5%)

simplify54.0ms (4.2%)

prune35.0ms (2.7%)

localize1.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.5%)

prune5.0ms (0.4%)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.5%)

prune3.0ms (0.2%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.5%)

prune0.0ms (0%)

regimes215.0ms (16.7%)

bsearch50.0ms (3.9%)

simplify3.0ms (0.3%)

end0.0ms (0%)

sample523.0ms (40.7%)

Profiling