Details

analyze554.0ms (10.6%)

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)

sample20.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	51×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify104.0ms (2%)

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%)

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))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

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)

series143.0ms (2.7%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

133.0ms

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

Compiler

Compiled 348 to 259 computations (25.6% saved)

simplify72.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4948	517
1	4948	517

prune22.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Error

Counts

37 → 4

Compiler

Compiled 358 to 80 computations (77.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 y.re x.re) (*.f64 y.re x.re))
0.3b	(.f64 (.f64 y.im x.im) (*.f64 y.im x.im))
1.5b	(-.f64 (.f64 (.f64 y.re x.re) (.f64 y.re x.re)) (.f64 (.f64 y.im x.im) (.f64 y.im x.im)))
27.7b	(/.f64 (-.f64 (.f64 (.f64 y.re x.re) (.f64 y.re x.re)) (.f64 (.f64 y.im x.im) (.f64 y.im x.im))) (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)))

rewrite145.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

82×	`pow1_binary64_821`
34×	`pow-prod-down_binary64_831`
30×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
16×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
13×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
12×	`times-frac_binary64_766`
8×	`pow-prod-up_binary64_830` `pow-sqr_binary64_733`
6×	`add-log-exp_binary64_799`
5×	`difference-of-squares_binary64_729`
4×	`associate-/l*_binary64_705` `pow-plus_binary64_823`
3×	`associate-/r*_binary64_704`
2×	`flip3--_binary64_764` `associate-/l/_binary64_707` `flip--_binary64_735` `associate-/r/_binary64_706` `pow2_binary64_841` `swap-sqr_binary64_727` `associate-l_binary64_701` `associate-r_binary64_700` `*-commutative_binary64_691`
1×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `flip3-+_binary64_763` `flip-+_binary64_734` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726`

Counts

4 → 117

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (.f64 (.f64 y.re x.re) (.f64 y.re x.re)) (.f64 (.f64 y.im x.im) (.f64 y.im x.im))) (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)))
8.0ms	(-.f64 (.f64 (.f64 y.re x.re) (.f64 y.re x.re)) (.f64 (.f64 y.im x.im) (.f64 y.im x.im)))
7.0ms	(.f64 (.f64 y.re x.re) (*.f64 y.re x.re))
7.0ms	(.f64 (.f64 y.im x.im) (*.f64 y.im x.im))

Compiler

Compiled 3865 to 504 computations (87% saved)

series1.0s (19.7%)

Error

Counts

4 → 60

Calls

4 calls:

453.0ms	(/.f64 (-.f64 (.f64 (.f64 y.re x.re) (.f64 y.re x.re)) (.f64 (.f64 y.im x.im) (.f64 y.im x.im))) (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)))
384.0ms	(-.f64 (.f64 (.f64 y.re x.re) (.f64 y.re x.re)) (.f64 (.f64 y.im x.im) (.f64 y.im x.im)))
78.0ms	(.f64 (.f64 y.im x.im) (*.f64 y.im x.im))
77.0ms	(.f64 (.f64 y.re x.re) (*.f64 y.re x.re))

Compiler

Compiled 2388 to 1558 computations (34.8% saved)

simplify85.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4979	3186
1	4979	3186

prune137.0ms (2.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	177	4	181

Error

Counts

181 → 4

Compiler

Compiled 3817 to 973 computations (74.5% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 y.re x.re) (.f64 y.im x.im))
0.2b	(/.f64 1 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)))
0.4b	(/.f64 1 (/.f64 1 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im))))

rewrite154.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

90×	`times-frac_binary64_766`
55×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
26×	`add-exp-log_binary64_798`
18×	`associate-/r*_binary64_704`
16×	`div-exp_binary64_811`
11×	`associate-/r/_binary64_706`
10×	`add-cbrt-cube_binary64_796`
8×	`1-exp_binary64_804` `rec-exp_binary64_810`
6×	`pow1_binary64_821` `div-inv_binary64_757` `flip3--_binary64_764` `flip--_binary64_735` `associate-/l*_binary64_705`
5×	`pow-flip_binary64_834` `add-log-exp_binary64_799`
4×	`cbrt-undiv_binary64_794`
3×	`inv-pow_binary64_845`
2×	`frac-2neg_binary64_771` `clear-num_binary64_759`
1×	`remove-double-div_binary64_736` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726`

Counts

3 → 138

Calls

3 calls:

9.0ms	(/.f64 1 (/.f64 1 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im))))
6.0ms	(/.f64 1 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)))
4.0ms	(-.f64 (.f64 y.re x.re) (.f64 y.im x.im))

Compiler

Compiled 3157 to 1302 computations (58.8% saved)

series496.0ms (9.5%)

Error

Counts

3 → 72

Calls

3 calls:

165.0ms	(/.f64 1 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)))
148.0ms	(/.f64 1 (/.f64 1 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im))))
141.0ms	(-.f64 (.f64 y.re x.re) (.f64 y.im x.im))

Compiler

Compiled 2202 to 1765 computations (19.8% saved)

simplify106.0ms (2%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4989	4661
1	4989	4661

prune139.0ms (2.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	210	4	214

Error

Counts

214 → 4

Compiler

Compiled 3219 to 1106 computations (65.6% 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))
0.2b	(pow.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) 3)
37.7b	(cbrt.f64 (pow.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) 3))

rewrite66.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

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)

series702.0ms (13.5%)

Error

Counts

3 → 96

Calls

3 calls:

288.0ms	(pow.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) 3)
172.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) 3))
154.0ms	(-.f64 (.f64 y.re x.re) (.f64 y.im x.im))

Compiler

Compiled 3596 to 2891 computations (19.6% saved)

simplify96.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4953	3845
1	4953	3845

prune115.0ms (2.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	156	4	160

Error

Counts

160 → 4

Compiler

Compiled 2424 to 1101 computations (54.6% saved)

regimes184.0ms (3.5%)

Accuracy

Total 0.0b remaining (46.5%)

Threshold costs 0.0b (46.5%)

Compiler

Compiled 1770 to 1207 computations (31.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	14
1	38	14

end0.0ms (0%)

sample800.0ms (15.3%)

Algorithm

1×

intervals

Results

207.0ms	8000×	body	128	valid
32.0ms	1361×	body	128	invalid

Compiler

Compiled 263 to 182 computations (30.8% saved)

Details

analyze554.0ms (10.6%)

sample20.0ms (0.4%)

simplify104.0ms (2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite14.0ms (0.3%)

series143.0ms (2.7%)

simplify72.0ms (1.4%)

prune22.0ms (0.4%)

localize10.0ms (0.2%)

rewrite145.0ms (2.8%)

series1.0s (19.7%)

simplify85.0ms (1.6%)

prune137.0ms (2.6%)

localize9.0ms (0.2%)

rewrite154.0ms (3%)

series496.0ms (9.5%)

simplify106.0ms (2%)

prune139.0ms (2.7%)

localize8.0ms (0.2%)

rewrite66.0ms (1.3%)

series702.0ms (13.5%)

simplify96.0ms (1.8%)

prune115.0ms (2.2%)

regimes184.0ms (3.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample800.0ms (15.3%)

Profiling