Details

analyze89.0ms (4.4%)

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)

sample15.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify123.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	8	12
1	8	12

prune2.0ms (0.1%)

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

30.9b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

28.9b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
28.9b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite9.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-sqr-sqrt_binary64_441` `sqrt-prod_binary64_435`
2×	`*-un-lft-identity_binary64_419` `sqrt-div_binary64_436` `add-cube-cbrt_binary64_454` `pow1_binary64_480`
1×	`flip3-+_binary64_422` `add-log-exp_binary64_458` `pow1/2_binary64_499` `flip-+_binary64_393` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432`

Counts

1 → 15

Calls

2 calls:

8.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
0.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series56.0ms (2.8%)

Counts

1 → 8

Calls

1 calls:

56.0ms

(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

Compiler

Compiled 114 to 106 computations (7% saved)

simplify78.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5783	296

prune21.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	19	4	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	5	24

Error

0.3b

Counts

24 → 5

Compiler

Compiled 258 to 83 computations (67.8% saved)

localize3.0ms (0.2%)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms (0.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	1	1
Total	5	5

Error

0.3b

Counts

5 → 5

Compiler

Compiled 4 to 7 computations (-75% saved)

localize4.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	2	2
Total	5	5

Error

0.3b

Counts

5 → 5

Compiler

Compiled 2 to 4 computations (-100% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	3	3
Total	5	5

Error

0.3b

Counts

5 → 5

Compiler

Compiled 0 to 0 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	49
1	31	49

regimes242.0ms (12%)

Accuracy

Total 18.7b remaining (98.4%)

Threshold costs 0b (0%)

Compiler

Compiled 229 to 255 computations (-11.4% saved)

bsearch82.0ms (4.1%)

Steps

Iters	Range		Point
9	9.098333252231588e+88	3.503508331897319e+94	2.4191264962337645e+94
6	1.2659239023245325e-188	1.4954142254336493e-187	1.325491675883215e-188
8	1.3319124929061472e-273	7.636936592766955e-271	4.045551410041801e-272
9	-2.799686825053556e-248	-3.07040550030234e-255	-2.4637364856279063e-252
3	-7.689589149645489e-190	-6.109214790445331e-190	-6.207988187895342e-190
8	-3.626346561825647e+78	-1.4435038200666092e+74	-3.148243747314542e+78

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	48	91
1	48	91

end0.0ms (0%)

sample1.2s (62%)

Algorithm

1×

intervals

Results

355.0ms

8000×

body

128

valid

Compiler

Compiled 241 to 193 computations (19.9% saved)

Pareto

0.44962455085069286

Details

analyze89.0ms (4.4%)

sample15.0ms (0.7%)

simplify123.0ms (6.1%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite9.0ms (0.5%)

series56.0ms (2.8%)

simplify78.0ms (3.9%)

prune21.0ms (1%)

localize3.0ms (0.2%)

rewrite1.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0.4%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.3%)

prune1.0ms (0.1%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.3%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

regimes242.0ms (12%)

bsearch82.0ms (4.1%)

simplify6.0ms (0.3%)

end0.0ms (0%)

sample1.2s (62%)

Profiling