Details

analyze640.0ms (34.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	98
1	316	98
0	4	4
1	4	4

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)

sample23.0ms (1.2%)

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)

simplify13.0ms (0.7%)

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))

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_1822`
1×	`flip3--_binary64_1787` `add-cbrt-cube_binary64_1819` `add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `cancel-sign-sub-inv_binary64_1749` `diff-log_binary64_1875` `*-un-lft-identity_binary64_1783` `flip--_binary64_1758` `sub-neg_binary64_1776` `pow1_binary64_1844`

Counts

1 → 12

Calls

1 calls:

4.0ms

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

series44.0ms (2.3%)

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify66.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4948	294
1	4948	294

prune10.0ms (0.5%)

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))

rewrite18.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1814`
9×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
6×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
5×	`add-log-exp_binary64_1822`
4×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `cube-div_binary64_1812` `pow1_binary64_1844`
3×	`flip3--_binary64_1787` `pow-unpow_binary64_1860` `flip--_binary64_1758`
2×	`sqr-pow_binary64_1755` `cube-mult_binary64_1813` `unpow3_binary64_1849` `cbrt-div_binary64_1815`
1×	`rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `cancel-sign-sub-inv_binary64_1749` `diff-log_binary64_1875` `pow-pow_binary64_1855` `pow1/3_binary64_1865` `pow-to-exp_binary64_1852` `sub-neg_binary64_1776` `pow-exp_binary64_1851`

Counts

3 → 60

Calls

3 calls:

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

series233.0ms (12.4%)

Counts

3 → 9

Calls

3 calls:

151.0ms	(pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 3)
43.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 3))
38.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

simplify74.0ms (4%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4996	1550
1	4996	1550

prune48.0ms (2.5%)

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 (3.5%)

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%)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	14
1	38	14

Compiler

Compiled 28 to 28 computations (0% saved)

end0.0ms (0%)

sample616.0ms (32.8%)

Algorithm

1×

intervals

Results

212.0ms	8000×	body	128	valid
39.0ms	1419×	body	128	invalid

Compiler

Compiled 33 to 41 computations (-24.2% saved)

Details

analyze640.0ms (34.1%)

sample23.0ms (1.2%)

simplify13.0ms (0.7%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite4.0ms (0.2%)

series44.0ms (2.3%)

simplify66.0ms (3.5%)

prune10.0ms (0.5%)

localize8.0ms (0.4%)

rewrite18.0ms (1%)

series233.0ms (12.4%)

simplify74.0ms (4%)

prune48.0ms (2.5%)

regimes65.0ms (3.5%)

bsearch0.0ms (0%)

simplify7.0ms (0.4%)

end0.0ms (0%)

sample616.0ms (32.8%)

Profiling