Details

analyze570.0ms (15.8%)

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)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	39×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify109.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

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)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_1442`
1×	`cancel-sign-sub-inv_binary64_1369` `*-un-lft-identity_binary64_1403` `pow1_binary64_1464` `sub-neg_binary64_1396` `add-exp-log_binary64_1441` `add-cube-cbrt_binary64_1438` `diff-log_binary64_1495` `flip--_binary64_1378` `add-sqr-sqrt_binary64_1425` `add-cbrt-cube_binary64_1439` `flip3--_binary64_1407`

Counts

1 → 12

Calls

2 calls:

4.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
0.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

series145.0ms (4%)

Counts

1 → 24

Calls

1 calls:

145.0ms

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

Compiler

Compiled 216 to 240 computations (-11.1% saved)

simplify69.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4948	517
1	4948	517

prune19.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Error

Counts

37 → 2

Compiler

Compiled 320 to 49 computations (84.7% saved)

localize12.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.4b	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))) (cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))))
0.0b	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
0.0b	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
0.0b	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
0.5b	(.f64 (cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (cbrt.f64 (-.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))
1.3b	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
1.3b	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
1.3b	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

rewrite34.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1434`
23×	`add-sqr-sqrt_binary64_1425`
18×	`cbrt-div_binary64_1435`
15×	`*-un-lft-identity_binary64_1403` `add-cube-cbrt_binary64_1438`
11×	`pow1_binary64_1464`
9×	`pow1/3_binary64_1485` `flip--_binary64_1378` `flip3--_binary64_1407`
6×	`associate-l_binary64_1344` `swap-sqr_binary64_1370` `add-exp-log_binary64_1441` `associate-r_binary64_1343`
4×	`unswap-sqr_binary64_1371` `frac-times_binary64_1413` `add-cbrt-cube_binary64_1439` `add-log-exp_binary64_1442`
2×	`pow-sqr_binary64_1376` `associate-r/_binary64_1345` `pow-prod-down_binary64_1474` `pow-prod-up_binary64_1473` `associate-l/_binary64_1346`
1×	`prod-exp_binary64_1452` `pow-plus_binary64_1466` `pow2_binary64_1484` `*-commutative_binary64_1334` `cbrt-unprod_binary64_1436`

Counts

4 → 87

Calls

8 calls:

13.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (cbrt.f64 (-.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))
4.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
0.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

series1.4s (37.8%)

Counts

4 → 90

Calls

4 calls:

417.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (cbrt.f64 (-.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))
319.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
314.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
310.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

Compiler

Compiled 6726 to 4812 computations (28.5% saved)

simplify99.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4993	5534
1	4993	5534

prune194.0ms (5.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	177	2	179

Error

Counts

179 → 2

Compiler

Compiled 5934 to 1607 computations (72.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	117
1	46	117

regimes103.0ms (2.9%)

Accuracy

Total 0.0b remaining (7.3%)

Threshold costs 0.0b (7.3%)

Compiler

Compiled 468 to 444 computations (5.1% 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%)

sample842.0ms (23.4%)

Algorithm

1×

intervals

Results

210.0ms	8000×	body	128	valid
34.0ms	1377×	body	128	invalid

Compiler

Compiled 194 to 174 computations (10.3% saved)

Pareto

0.9618833462839246

Details

analyze570.0ms (15.8%)

sample19.0ms (0.5%)

simplify109.0ms (3%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite5.0ms (0.1%)

series145.0ms (4%)

simplify69.0ms (1.9%)

prune19.0ms (0.5%)

localize12.0ms (0.3%)

rewrite34.0ms (1%)

series1.4s (37.8%)

simplify99.0ms (2.7%)

prune194.0ms (5.4%)

simplify3.0ms (0.1%)

regimes103.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample842.0ms (23.4%)

Profiling