Details

analyze545.0ms (30.4%)

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 (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	44×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify106.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	160	14
1	160	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)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_799`
1×	`diff-log_binary64_852` `*-un-lft-identity_binary64_760` `add-exp-log_binary64_798` `cancel-sign-sub-inv_binary64_726` `add-cube-cbrt_binary64_795` `add-cbrt-cube_binary64_796` `pow1_binary64_821` `sub-neg_binary64_753` `flip--_binary64_735` `add-sqr-sqrt_binary64_782` `flip3--_binary64_764`

Counts

1 → 12

Calls

1 calls:

4.0ms

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

series42.0ms (2.4%)

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify67.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4948	294
1	4948	294

prune10.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Error

0.0b

Counts

16 → 2

Compiler

Compiled 193 to 50 computations (74.1% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
0.3b	(pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 3)
36.2b	(cbrt.f64 (pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 3))

rewrite22.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_791`
9×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
6×	`cube-prod_binary64_788` `unpow-prod-down_binary64_839`
5×	`add-log-exp_binary64_799`
4×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `cube-div_binary64_789` `pow1_binary64_821`
3×	`pow-unpow_binary64_837` `flip--_binary64_735` `flip3--_binary64_764`
2×	`cube-mult_binary64_790` `unpow3_binary64_826` `cbrt-div_binary64_792` `sqr-pow_binary64_732`
1×	`pow1/3_binary64_842` `rem-cbrt-cube_binary64_784` `diff-log_binary64_852` `cancel-sign-sub-inv_binary64_726` `pow-exp_binary64_828` `rem-cube-cbrt_binary64_783` `pow-to-exp_binary64_829` `sub-neg_binary64_753` `pow-pow_binary64_832`

Counts

3 → 60

Calls

3 calls:

7.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 3))
5.0ms	(pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 3)
4.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

series229.0ms (12.8%)

Counts

3 → 9

Calls

3 calls:

142.0ms	(pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 3)
45.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 3))
42.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

simplify72.0ms (4%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4996	1550
1	4996	1550

prune49.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	69	2	71

Error

0.0b

Counts

71 → 2

Compiler

Compiled 1077 to 373 computations (65.4% saved)

regimes65.0ms (3.6%)

Accuracy

Total 0.0b remaining (14.3%)

Threshold costs 0.0b (14.3%)

Compiler

Compiled 160 to 220 computations (-37.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	14
1	38	14

end0.0ms (0%)

sample545.0ms (30.4%)

Algorithm

1×

intervals

Results

205.0ms	8000×	body	128	valid
35.0ms	1419×	body	128	invalid

Compiler

Compiled 33 to 41 computations (-24.2% saved)

Details

analyze545.0ms (30.4%)

sample17.0ms (0.9%)

simplify106.0ms (5.9%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite5.0ms (0.3%)

series42.0ms (2.4%)

simplify67.0ms (3.7%)

prune10.0ms (0.6%)

localize8.0ms (0.4%)

rewrite22.0ms (1.2%)

series229.0ms (12.8%)

simplify72.0ms (4%)

prune49.0ms (2.8%)

regimes65.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample545.0ms (30.4%)

Profiling