Details

analyze544.0ms (8.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
25%	74.9%	0.2%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	40×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify104.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	14
1	13	14

prune2.0ms (0%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_1481`
1×	`add-cbrt-cube_binary64_1478` `sum-log_binary64_1533` `+-commutative_binary64_1372` `add-exp-log_binary64_1480` `add-sqr-sqrt_binary64_1464` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))

series138.0ms (2.2%)

Counts

1 → 24

Calls

1 calls:

138.0ms

(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))

Compiler

Compiled 204 to 228 computations (-11.8% saved)

simplify95.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4833	489
1	4833	489

prune18.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Error

0.0b

Counts

36 → 2

Compiler

Compiled 310 to 56 computations (81.9% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.2b	(+.f64 (.f64 (.f64 x.re y.im) (.f64 x.re y.im)) (.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im)))))
2.2b	(+.f64 (pow.f64 (.f64 x.re y.im) 3) (pow.f64 (.f64 x.im y.re) 3))
5.8b	(.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))))
36.4b	(/.f64 (+.f64 (pow.f64 (.f64 x.re y.im) 3) (pow.f64 (.f64 x.im y.re) 3)) (+.f64 (.f64 (.f64 x.re y.im) (.f64 x.re y.im)) (.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im))))))

rewrite56.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64_1442`
16×	`distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392`
15×	`times-frac_binary64_1448` `add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477`
11×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
9×	`pow1_binary64_1503`
8×	`cancel-sign-sub-inv_binary64_1408` `sub-neg_binary64_1435` `add-log-exp_binary64_1481` `associate-+r+_binary64_1374`
5×	`associate-/l*_binary64_1387` `distribute-lft-out_binary64_1393` `sum-cubes_binary64_1443`
4×	`associate-*r/_binary64_1384` `flip3-+_binary64_1445` `flip-+_binary64_1416`
3×	`associate-/r_binary64_1386` `cbrt-unprod_binary64_1475` `associate-l*_binary64_1383` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491`
2×	`sum-log_binary64_1533` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `+-commutative_binary64_1372`
1×	`associate-r_binary64_1382` `cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `clear-num_binary64_1441` `flip3--_binary64_1446` `*-commutative_binary64_1373` `flip--_binary64_1417` `frac-2neg_binary64_1453` `div-exp_binary64_1493`

Counts

4 → 99

Calls

4 calls:

18.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x.re y.im) 3) (pow.f64 (.f64 x.im y.re) 3)) (+.f64 (.f64 (.f64 x.re y.im) (.f64 x.re y.im)) (.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im))))))
9.0ms	(+.f64 (.f64 (.f64 x.re y.im) (.f64 x.re y.im)) (.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im)))))
9.0ms	(.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))))
8.0ms	(+.f64 (pow.f64 (.f64 x.re y.im) 3) (pow.f64 (.f64 x.im y.re) 3))

series2.3s (36.4%)

Counts

4 → 108

Calls

4 calls:

798.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x.re y.im) 3) (pow.f64 (.f64 x.im y.re) 3)) (+.f64 (.f64 (.f64 x.re y.im) (.f64 x.re y.im)) (.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im))))))
604.0ms	(+.f64 (.f64 (.f64 x.re y.im) (.f64 x.re y.im)) (.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im)))))
583.0ms	(+.f64 (pow.f64 (.f64 x.re y.im) 3) (pow.f64 (.f64 x.im y.re) 3))
295.0ms	(.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))))

Compiler

Compiled 3936 to 2868 computations (27.1% saved)

simplify120.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5046	6725

prune229.0ms (3.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	206	1	207
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	206	3	209

Error

0.0b

Counts

209 → 3

Compiler

Compiled 6687 to 1995 computations (70.2% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.8b	(.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))))
24.2b	(sqrt.f64 (+.f64 (pow.f64 (.f64 x.re y.im) 2) (.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im))))))
24.2b	(sqrt.f64 (+.f64 (pow.f64 (.f64 x.re y.im) 2) (.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im))))))
24.9b	(/.f64 (+.f64 (pow.f64 (.f64 x.re y.im) 2) (.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x.re y.im) 2) (.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)))))))

rewrite51.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_1464`
22×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
18×	`times-frac_binary64_1448` `sqrt-prod_binary64_1458`
14×	`pow1_binary64_1503`
11×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
8×	`distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392`
6×	`associate-/r*_binary64_1386` `sqrt-div_binary64_1459`
4×	`associate-*r/_binary64_1384` `cancel-sign-sub-inv_binary64_1408` `sub-neg_binary64_1435` `add-log-exp_binary64_1481` `flip3-+_binary64_1445` `flip-+_binary64_1416`
3×	`sqrt-pow1_binary64_1460` `cbrt-unprod_binary64_1475` `associate-/l_binary64_1387` `associate-l*_binary64_1383` `pow-prod-down_binary64_1513` `pow1/2_binary64_1522` `prod-exp_binary64_1491`
2×	`rem-sqrt-square_binary64_1455` `associate-/l/_binary64_1389` `pow-div_binary64_1517` `associate-/r/_binary64_1388`
1×	`associate-r_binary64_1382` `cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `clear-num_binary64_1441` `flip3--_binary64_1446` `*-commutative_binary64_1373` `flip--_binary64_1417` `frac-2neg_binary64_1453` `div-exp_binary64_1493`

Counts

4 → 103

Calls

4 calls:

12.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x.re y.im) 2) (.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x.re y.im) 2) (.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)))))))
9.0ms	(.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))))
5.0ms	(sqrt.f64 (+.f64 (pow.f64 (.f64 x.re y.im) 2) (.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im))))))
5.0ms	(sqrt.f64 (+.f64 (pow.f64 (.f64 x.re y.im) 2) (.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im))))))

series1.3s (20.1%)

Counts

4 → 142

Calls

4 calls:

324.0ms	(sqrt.f64 (+.f64 (pow.f64 (.f64 x.re y.im) 2) (.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im))))))
323.0ms	(.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))))
315.0ms	(sqrt.f64 (+.f64 (pow.f64 (.f64 x.re y.im) 2) (.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im))))))
297.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x.re y.im) 2) (.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x.re y.im) 2) (.f64 x.im (.f64 y.re (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)))))))

Compiler

Compiled 10568 to 5492 computations (48% saved)

simplify136.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5005	9222

prune444.0ms (7.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	245	0	245
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	245	3	248

Error

0.0b

Counts

248 → 3

Compiler

Compiled 15514 to 4085 computations (73.7% saved)

regimes102.0ms (1.6%)

Accuracy

Total 0.0b remaining (26.5%)

Threshold costs 0.0b (26.5%)

Compiler

Compiled 958 to 570 computations (40.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	14
1	13	14

end0.0ms (0%)

sample621.0ms (9.9%)

Algorithm

1×

intervals

Results

211.0ms	8000×	body	128	valid
38.0ms	1396×	body	128	invalid

Compiler

Compiled 147 to 91 computations (38.1% saved)

Details

analyze544.0ms (8.7%)

sample18.0ms (0.3%)

simplify104.0ms (1.7%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite5.0ms (0.1%)

series138.0ms (2.2%)

simplify95.0ms (1.5%)

prune18.0ms (0.3%)

localize17.0ms (0.3%)

rewrite56.0ms (0.9%)

series2.3s (36.4%)

simplify120.0ms (1.9%)

prune229.0ms (3.7%)

localize19.0ms (0.3%)

rewrite51.0ms (0.8%)

series1.3s (20.1%)

simplify136.0ms (2.2%)

prune444.0ms (7.1%)

regimes102.0ms (1.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample621.0ms (9.9%)

Profiling