Details

analyze545.0ms (13.8%)

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)

sample17.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	47×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify99.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	14
1	13	14

prune2.0ms (0.1%)

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

Merged 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))

series25.0ms (0.6%)

Counts

1 → 12

Calls

1 calls:

25.0ms

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

simplify91.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4833	417
1	4833	417

prune14.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Merged error: 0.0b

Counts

24 → 2

Compiler

Compiled 266 to 50 computations (81.2% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x.im y.re) (*.f64 x.im y.re))
0.3b	(.f64 (.f64 x.re y.im) (*.f64 x.re y.im))
0.8b	(-.f64 (.f64 (.f64 x.re y.im) (.f64 x.re y.im)) (.f64 (.f64 x.im y.re) (.f64 x.im y.re)))
27.4b	(/.f64 (-.f64 (.f64 (.f64 x.re y.im) (.f64 x.re y.im)) (.f64 (.f64 x.im y.re) (.f64 x.im y.re))) (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

rewrite48.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`pow1_binary64_1503`
34×	`pow-prod-down_binary64_1513`
30×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
16×	`cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
13×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
12×	`times-frac_binary64_1448`
8×	`pow-sqr_binary64_1415` `pow-prod-up_binary64_1512`
6×	`add-log-exp_binary64_1481`
5×	`difference-of-squares_binary64_1411`
4×	`associate-/l*_binary64_1387` `pow-plus_binary64_1505`
3×	`associate-/r*_binary64_1386` `flip3--_binary64_1446` `flip--_binary64_1417`
2×	`pow2_binary64_1523` `associate-r_binary64_1382` `swap-sqr_binary64_1409` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `associate-l_binary64_1383` `*-commutative_binary64_1373`
1×	`cbrt-undiv_binary64_1476` `cancel-sign-sub-inv_binary64_1408` `div-inv_binary64_1439` `sub-neg_binary64_1435` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `diff-log_binary64_1534` `div-sub_binary64_1447` `div-exp_binary64_1493`

Counts

4 → 117

Calls

4 calls:

15.0ms	(/.f64 (-.f64 (.f64 (.f64 x.re y.im) (.f64 x.re y.im)) (.f64 (.f64 x.im y.re) (.f64 x.im y.re))) (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
9.0ms	(-.f64 (.f64 (.f64 x.re y.im) (.f64 x.re y.im)) (.f64 (.f64 x.im y.re) (.f64 x.im y.re)))
6.0ms	(.f64 (.f64 x.im y.re) (*.f64 x.im y.re))
6.0ms	(.f64 (.f64 x.re y.im) (*.f64 x.re y.im))

series264.0ms (6.7%)

Counts

4 → 36

Calls

4 calls:

84.0ms	(/.f64 (-.f64 (.f64 (.f64 x.re y.im) (.f64 x.re y.im)) (.f64 (.f64 x.im y.re) (.f64 x.im y.re))) (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
75.0ms	(-.f64 (.f64 (.f64 x.re y.im) (.f64 x.re y.im)) (.f64 (.f64 x.im y.re) (.f64 x.im y.re)))
53.0ms	(.f64 (.f64 x.re y.im) (*.f64 x.re y.im))
52.0ms	(.f64 (.f64 x.im y.re) (*.f64 x.im y.re))

simplify86.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5042	2866

prune129.0ms (3.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	151	2	153
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	151	4	155

Merged error: 0b

Counts

155 → 4

Compiler

Compiled 3588 to 893 computations (75.1% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

2.8b	(/.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (.f64 (cbrt.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re))) (cbrt.f64 (-.f64 (.f64 x.re y.im) (*.f64 x.im y.re)))))
2.9b	(cbrt.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.9b	(cbrt.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.9b	(cbrt.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

rewrite36.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64_1474`
9×	`cbrt-prod_binary64_1473` `flip3--_binary64_1446` `add-exp-log_binary64_1480` `flip--_binary64_1417` `add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
8×	`associate-/r/_binary64_1388`
7×	`add-cbrt-cube_binary64_1478`
4×	`add-log-exp_binary64_1481` `frac-times_binary64_1452` `pow1_binary64_1503`
3×	`times-frac_binary64_1448` `associate-/l*_binary64_1387` `pow1/3_binary64_1524`
2×	`associate-r/_binary64_1384` `cbrt-undiv_binary64_1476` `associate-/l/_binary64_1389` `associate-l/_binary64_1385` `div-exp_binary64_1493`
1×	`associate-/r*_binary64_1386` `cbrt-unprod_binary64_1475` `div-inv_binary64_1439` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `flip3-+_binary64_1445` `flip-+_binary64_1416` `prod-exp_binary64_1491`

Counts

4 → 70

Calls

4 calls:

15.0ms	(/.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (.f64 (cbrt.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re))) (cbrt.f64 (-.f64 (.f64 x.re y.im) (*.f64 x.im y.re)))))
4.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

series557.0ms (14.1%)

Counts

4 → 48

Calls

4 calls:

225.0ms	(/.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (.f64 (cbrt.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re))) (cbrt.f64 (-.f64 (.f64 x.re y.im) (*.f64 x.im y.re)))))
114.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
110.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
108.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

simplify93.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4983	4989
1	4983	4989

prune168.0ms (4.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	118	4	122

Merged error: 0b

Counts

122 → 4

Compiler

Compiled 6406 to 1374 computations (78.6% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (/.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (-.f64 (pow.f64 (.f64 x.re y.im) 2) (pow.f64 (.f64 x.im y.re) 2))))
0.3b	(pow.f64 (*.f64 x.re y.im) 2)
0.8b	(-.f64 (pow.f64 (.f64 x.re y.im) 2) (pow.f64 (.f64 x.im y.re) 2))
27.0b	(/.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (-.f64 (pow.f64 (.f64 x.re y.im) 2) (pow.f64 (.f64 x.im y.re) 2)))

rewrite91.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

330×	`times-frac_binary64_1448`
240×	`add-sqr-sqrt_binary64_1464`
172×	`*-un-lft-identity_binary64_1442`
153×	`difference-of-squares_binary64_1411`
138×	`add-cube-cbrt_binary64_1477`
104×	`unpow2_binary64_1507` `sqr-pow_binary64_1414`
58×	`associate-/r*_binary64_1386`
20×	`add-exp-log_binary64_1480`
17×	`distribute-lft-out--_binary64_1394`
11×	`add-cbrt-cube_binary64_1478` `associate-/r/_binary64_1388`
8×	`pow1_binary64_1503` `div-exp_binary64_1493`
7×	`flip3--_binary64_1446` `flip--_binary64_1417`
6×	`cancel-sign-sub-inv_binary64_1408` `div-inv_binary64_1439` `associate-/l*_binary64_1387` `add-log-exp_binary64_1481`
4×	`cbrt-undiv_binary64_1476`
3×	`pow-unpow_binary64_1519`
2×	`pow-exp_binary64_1510` `associate-/l/_binary64_1389` `clear-num_binary64_1441` `1-exp_binary64_1486` `rec-exp_binary64_1492` `frac-2neg_binary64_1453` `unpow-prod-down_binary64_1521` `pow-pow_binary64_1514`
1×	`inv-pow_binary64_1527` `sub-neg_binary64_1435` `pow-prod-down_binary64_1513` `pow-flip_binary64_1516` `diff-log_binary64_1534` `prod-exp_binary64_1491` `div-sub_binary64_1447` `pow-to-exp_binary64_1511`

Counts

4 → 321

Calls

4 calls:

22.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (-.f64 (pow.f64 (.f64 x.re y.im) 2) (pow.f64 (.f64 x.im y.re) 2))))
13.0ms	(/.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (-.f64 (pow.f64 (.f64 x.re y.im) 2) (pow.f64 (.f64 x.im y.re) 2)))
8.0ms	(-.f64 (pow.f64 (.f64 x.re y.im) 2) (pow.f64 (.f64 x.im y.re) 2))
4.0ms	(pow.f64 (*.f64 x.re y.im) 2)

series291.0ms (7.4%)

Counts

4 → 42

Calls

4 calls:

101.0ms	(/.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (-.f64 (pow.f64 (.f64 x.re y.im) 2) (pow.f64 (.f64 x.im y.re) 2)))
81.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (-.f64 (pow.f64 (.f64 x.re y.im) 2) (pow.f64 (.f64 x.im y.re) 2))))
63.0ms	(-.f64 (pow.f64 (.f64 x.re y.im) 2) (pow.f64 (.f64 x.im y.re) 2))
46.0ms	(pow.f64 (*.f64 x.re y.im) 2)

simplify226.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

363 → 363

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4962	17365
1	4962	17365

prune382.0ms (9.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	363	0	363
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	363	4	367

Merged error: 0b

Counts

367 → 4

Compiler

Compiled 11684 to 3275 computations (72% saved)

regimes118.0ms (3%)

Compiler: Compiled 1084 to 682 computations (37.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	14
1	13	14

end0.0ms (0%)

sample630.0ms (15.9%)

Algorithm

1×

intervals

Results

211.0ms	8000×	body	128	valid
35.0ms	1419×	body	128	invalid

Compiler

Compiled 165 to 107 computations (35.2% saved)

Details

analyze545.0ms (13.8%)

sample17.0ms (0.4%)

simplify99.0ms (2.5%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite5.0ms (0.1%)

series25.0ms (0.6%)

simplify91.0ms (2.3%)

prune14.0ms (0.3%)

localize10.0ms (0.3%)

rewrite48.0ms (1.2%)

series264.0ms (6.7%)

simplify86.0ms (2.2%)

prune129.0ms (3.3%)

localize15.0ms (0.4%)

rewrite36.0ms (0.9%)

series557.0ms (14.1%)

simplify93.0ms (2.4%)

prune168.0ms (4.2%)

localize12.0ms (0.3%)

rewrite91.0ms (2.3%)

series291.0ms (7.4%)

simplify226.0ms (5.7%)

prune382.0ms (9.6%)

regimes118.0ms (3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample630.0ms (15.9%)

Profiling