Details

analyze917.0ms (19.2%)

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

Symmetry

(sort x.re y.re)

(sort x.im y.im)

Compiler

Compiled 8 to 8 computations (0% saved)

sample29.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	34×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify13.0ms (0.3%)

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 (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_1140`
1×	`diff-log_binary64_1193` `pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `flip3--_binary64_1105` `*-un-lft-identity_binary64_1101` `sub-neg_binary64_1094` `flip--_binary64_1076` `cancel-sign-sub-inv_binary64_1067`

Counts

1 → 12

Calls

1 calls:

4.0ms

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

Compiler

Compiled 187 to 46 computations (75.4% saved)

series160.0ms (3.4%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

149.0ms

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

Compiler

Compiled 348 to 259 computations (25.6% saved)

simplify70.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4948	517
1	4948	517

prune21.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	3	37

Error

Counts

37 → 3

Compiler

Compiled 335 to 69 computations (79.4% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 y.re x.re) (.f64 y.im x.im))
0.3b	(pow.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) 3)
35.7b	(cbrt.f64 (pow.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) 3))

rewrite70.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`cbrt-prod_binary64_1132`
9×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
6×	`unpow-prod-down_binary64_1180` `cube-prod_binary64_1129`
5×	`add-log-exp_binary64_1140`
4×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `cube-div_binary64_1130`
3×	`flip3--_binary64_1105` `flip--_binary64_1076` `pow-unpow_binary64_1178`
2×	`cbrt-div_binary64_1133` `unpow3_binary64_1167` `cube-mult_binary64_1131` `sqr-pow_binary64_1073`
1×	`pow1/3_binary64_1183` `rem-cbrt-cube_binary64_1125` `pow-pow_binary64_1173` `pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `rem-cube-cbrt_binary64_1124` `diff-log_binary64_1193` `sub-neg_binary64_1094` `cancel-sign-sub-inv_binary64_1067`

Counts

3 → 60

Calls

3 calls:

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

Compiler

Compiled 1246 to 398 computations (68.1% saved)

series678.0ms (14.2%)

Error

Counts

3 → 96

Calls

3 calls:

282.0ms	(pow.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) 3)
160.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) 3))
147.0ms	(-.f64 (.f64 y.re x.re) (.f64 y.im x.im))

Compiler

Compiled 3596 to 2891 computations (19.6% saved)

simplify97.0ms (2%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4953	3845
1	4953	3845

prune120.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	156	3	159

Error

Counts

159 → 3

Compiler

Compiled 2443 to 1113 computations (54.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) 2)
0.3b	(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) 2)) (cbrt.f64 (-.f64 (.f64 y.re x.re) (*.f64 y.im x.im))))
1.7b	(cbrt.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)))
24.4b	(cbrt.f64 (pow.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) 2))

rewrite130.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`cbrt-prod_binary64_1132`
30×	`add-sqr-sqrt_binary64_1123`
14×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
11×	`unpow-prod-down_binary64_1180` `associate-l_binary64_1042`
10×	`unswap-sqr_binary64_1069`
7×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `unpow2_binary64_1166`
6×	`associate-r_binary64_1041`
5×	`sqr-pow_binary64_1073`
4×	`pow1/3_binary64_1183` `add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137` `cbrt-div_binary64_1133`
3×	`pow-unpow_binary64_1178`
2×	`flip3--_binary64_1105` `flip--_binary64_1076` `pow-prod-down_binary64_1172` `associate-*r/_binary64_1043`
1×	`pow3_binary64_1184` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `rem-3cbrt-lft_binary64_1126` `*-commutative_binary64_1032` `pow-pow_binary64_1173` `pow-to-exp_binary64_1170` `pow-exp_binary64_1169`

Counts

4 → 90

Calls

4 calls:

14.0ms	(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) 2)) (cbrt.f64 (-.f64 (.f64 y.re x.re) (*.f64 y.im x.im))))
5.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) 2))
5.0ms	(pow.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) 2)
3.0ms	(cbrt.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)))

Compiler

Compiled 2747 to 709 computations (74.2% saved)

series1.2s (26%)

Error

Counts

4 → 103

Calls

4 calls:

358.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) 2))
349.0ms	(pow.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) 2)
258.0ms	(cbrt.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)))
171.0ms	(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) 2)) (cbrt.f64 (-.f64 (.f64 y.re x.re) (*.f64 y.im x.im))))

Compiler

Compiled 6865 to 4840 computations (29.5% saved)

simplify98.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5006	5372

prune182.0ms (3.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	193	0	193
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	193	3	196

Error

Counts

196 → 3

Compiler

Compiled 4580 to 1551 computations (66.1% saved)

regimes145.0ms (3%)

Accuracy

Total 0.0b remaining (44.6%)

Threshold costs 0.0b (44.6%)

Compiler

Compiled 1245 to 850 computations (31.7% saved)

bsearch0.0ms (0%)

simplify22.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	14
1	38	14

Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 28 to 28 computations (0% saved)

end0.0ms (0%)

sample742.0ms (15.5%)

Algorithm

1×

intervals

Results

210.0ms	8000×	body	128	valid
31.0ms	1352×	body	128	invalid

Compiler

Compiled 188 to 131 computations (30.3% saved)

Details

analyze917.0ms (19.2%)

sample29.0ms (0.6%)

simplify13.0ms (0.3%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite13.0ms (0.3%)

series160.0ms (3.4%)

simplify70.0ms (1.5%)

prune21.0ms (0.4%)

localize8.0ms (0.2%)

rewrite70.0ms (1.5%)

series678.0ms (14.2%)

simplify97.0ms (2%)

prune120.0ms (2.5%)

localize11.0ms (0.2%)

rewrite130.0ms (2.7%)

series1.2s (26%)

simplify98.0ms (2.1%)

prune182.0ms (3.8%)

regimes145.0ms (3%)

bsearch0.0ms (0%)

simplify22.0ms (0.5%)

end0.0ms (0%)

sample742.0ms (15.5%)

Profiling