Details

analyze803.0ms (31%)

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)

sample27.0ms (1%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
2.0ms	43×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify115.0ms (4.4%)

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 (0.2%)

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_1140`
1×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `sum-log_binary64_1192` `add-exp-log_binary64_1139` `pow1_binary64_1162` `flip3-+_binary64_1104` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137` `+-commutative_binary64_1031` `flip-+_binary64_1075`

Counts

1 → 11

Calls

1 calls:

4.0ms

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

series50.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify121.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4833	278
1	4833	278

prune20.0ms (0.8%)

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

Merged error: 0b

Counts

15 → 2

Compiler

Compiled 184 to 50 computations (72.8% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
0.3b	(pow.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) 3)
32.0b	(cbrt.f64 (pow.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) 3))

rewrite17.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1132`
9×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
6×	`cube-prod_binary64_1129` `unpow-prod-down_binary64_1180`
5×	`add-log-exp_binary64_1140`
4×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `cube-div_binary64_1130` `add-cbrt-cube_binary64_1137`
3×	`flip3-+_binary64_1104` `pow-unpow_binary64_1178` `flip-+_binary64_1075`
2×	`cube-mult_binary64_1131` `unpow3_binary64_1167` `sqr-pow_binary64_1073` `cbrt-div_binary64_1133`
1×	`pow-exp_binary64_1169` `rem-cube-cbrt_binary64_1124` `pow1/3_binary64_1183` `pow-pow_binary64_1173` `sum-log_binary64_1192` `+-commutative_binary64_1031` `pow-to-exp_binary64_1170` `rem-cbrt-cube_binary64_1125`

Counts

3 → 59

Calls

3 calls:

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

series311.0ms (12%)

Counts

3 → 9

Calls

3 calls:

176.0ms	(pow.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) 3)
68.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) 3))
66.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

simplify77.0ms (3%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4997	1534
1	4997	1534

prune91.0ms (3.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	68	2	70

Merged error: 0b

Counts

70 → 2

Compiler

Compiled 1065 to 370 computations (65.3% saved)

regimes101.0ms (3.9%)

Compiler: Compiled 160 to 220 computations (-37.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	14
1	13	14

end0.0ms (0%)

sample836.0ms (32.3%)

Algorithm

1×

intervals

Results

317.0ms	8000×	body	128	valid
56.0ms	1296×	body	128	invalid

Compiler

Compiled 33 to 41 computations (-24.2% saved)

Details

analyze803.0ms (31%)

sample27.0ms (1%)

simplify115.0ms (4.4%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite5.0ms (0.2%)

series50.0ms (1.9%)

simplify121.0ms (4.7%)

prune20.0ms (0.8%)

localize8.0ms (0.3%)

rewrite17.0ms (0.7%)

series311.0ms (12%)

simplify77.0ms (3%)

prune91.0ms (3.5%)

regimes101.0ms (3.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample836.0ms (32.3%)

Profiling