Details

analyze556.0ms (19.3%)

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)

sample21.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	39×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify96.0ms (3.3%)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.2%)

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:

5.0ms

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

series37.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify99.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4833	278
1	4833	278

prune10.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Error

0.0b

Counts

15 → 2

Compiler

Compiled 200 to 50 computations (75% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.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))))
2.0b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.0b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.0b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

rewrite34.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1473`
23×	`add-sqr-sqrt_binary64_1464`
18×	`cbrt-div_binary64_1474`
15×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
11×	`pow1_binary64_1503`
9×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `pow1/3_binary64_1524`
6×	`associate-r_binary64_1382` `swap-sqr_binary64_1409` `associate-l_binary64_1383` `add-exp-log_binary64_1480`
4×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481` `frac-times_binary64_1452` `unswap-sqr_binary64_1410`
2×	`associate-r/_binary64_1384` `pow-prod-down_binary64_1513` `pow-sqr_binary64_1415` `pow-prod-up_binary64_1512` `associate-l/_binary64_1385`
1×	`pow2_binary64_1523` `cbrt-unprod_binary64_1475` `pow-plus_binary64_1505` `*-commutative_binary64_1373` `prod-exp_binary64_1491`

Counts

4 → 87

Calls

4 calls:

13.0ms	(.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)))

series572.0ms (19.9%)

Counts

4 → 12

Calls

4 calls:

178.0ms	(.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))))
136.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
132.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
126.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

simplify85.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5012	2755

prune96.0ms (3.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	3	101

Error

Counts

101 → 3

Compiler

Compiled 3230 to 546 computations (83.1% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

1.6b	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
1.6b	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.0b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.0b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_1464`
8×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`cbrt-prod_binary64_1473` `sqrt-prod_binary64_1458` `pow1_binary64_1503`
4×	`add-cbrt-cube_binary64_1478` `cbrt-div_binary64_1474` `sqrt-div_binary64_1459` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `pow1/3_binary64_1524` `pow1/2_binary64_1522`

Counts

4 → 56

Calls

4 calls:

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

series389.0ms (13.5%)

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
117.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
69.0ms	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
68.0ms	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

simplify69.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5065	1658

prune74.0ms (2.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	68	3	71

Error

Counts

71 → 3

Compiler

Compiled 3016 to 397 computations (86.8% saved)

regimes89.0ms (3.1%)

Accuracy

Total 0.0b remaining (21.5%)

Threshold costs 0.0b (21.5%)

Compiler

Compiled 664 to 388 computations (41.6% 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%)

sample593.0ms (20.6%)

Algorithm

1×

intervals

Results

213.0ms	8000×	body	128	valid
35.0ms	1392×	body	128	invalid

Compiler

Compiled 105 to 65 computations (38.1% saved)

Details

analyze556.0ms (19.3%)

sample21.0ms (0.7%)

simplify96.0ms (3.3%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite5.0ms (0.2%)

series37.0ms (1.3%)

simplify99.0ms (3.4%)

prune10.0ms (0.3%)

localize10.0ms (0.3%)

rewrite34.0ms (1.2%)

series572.0ms (19.9%)

simplify85.0ms (2.9%)

prune96.0ms (3.3%)

localize14.0ms (0.5%)

rewrite23.0ms (0.8%)

series389.0ms (13.5%)

simplify69.0ms (2.4%)

prune74.0ms (2.6%)

regimes89.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample593.0ms (20.6%)

Profiling