Details

analyze557.0ms (14.3%)

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)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	42×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify103.0ms (2.6%)

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))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

4.0ms

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

series130.0ms (3.3%)

Counts

1 → 24

Calls

1 calls:

130.0ms

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

Compiler

Compiled 216 to 240 computations (-11.1% saved)

simplify71.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4948	517
1	4948	517

prune21.0ms (0.5%)

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

0.0b

Counts

37 → 3

Compiler

Compiled 330 to 59 computations (82.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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))))
1.2b	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
1.2b	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
1.2b	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_791`
23×	`add-sqr-sqrt_binary64_782`
18×	`cbrt-div_binary64_792`
15×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
11×	`pow1_binary64_821`
9×	`pow1/3_binary64_842` `flip--_binary64_735` `flip3--_binary64_764`
6×	`add-exp-log_binary64_798` `swap-sqr_binary64_727` `associate-r_binary64_700` `associate-l_binary64_701`
4×	`unswap-sqr_binary64_728` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `frac-times_binary64_770`
2×	`associate-l/_binary64_703` `pow-sqr_binary64_733` `associate-r/_binary64_702` `pow-prod-up_binary64_830` `pow-prod-down_binary64_831`
1×	`pow2_binary64_841` `prod-exp_binary64_809` `pow-plus_binary64_823` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.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))))
3.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
3.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
3.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

series1.2s (29.6%)

Counts

4 → 81

Calls

4 calls:

388.0ms	(.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))))
260.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
259.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
249.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

Compiler

Compiled 5721 to 3867 computations (32.4% saved)

simplify80.0ms (2%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5324	5212

prune161.0ms (4.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	168	3	171

Error

0.0b

Counts

171 → 3

Compiler

Compiled 5549 to 1100 computations (80.2% saved)

localize8.0ms (0.2%)

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)
34.1b	(cbrt.f64 (pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 3))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

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

series612.0ms (15.7%)

Counts

3 → 96

Calls

3 calls:

290.0ms	(pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 3)
169.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 3))
153.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Compiler

Compiled 1906 to 1786 computations (6.3% saved)

simplify100.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4952	3845
1	4952	3845

prune117.0ms (3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	156	3	159

Error

0.0b

Counts

159 → 3

Compiler

Compiled 2424 to 1101 computations (54.6% saved)

regimes101.0ms (2.6%)

Accuracy

Total 0.0b remaining (31%)

Threshold costs 0.0b (31%)

Compiler

Compiled 559 to 465 computations (16.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	14
1	38	14

end0.0ms (0%)

sample595.0ms (15.2%)

Algorithm

1×

intervals

Results

206.0ms	8000×	body	128	valid
36.0ms	1376×	body	128	invalid

Compiler

Compiled 90 to 76 computations (15.6% saved)

Details

analyze557.0ms (14.3%)

sample21.0ms (0.5%)

simplify103.0ms (2.6%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite5.0ms (0.1%)

series130.0ms (3.3%)

simplify71.0ms (1.8%)

prune21.0ms (0.5%)

localize9.0ms (0.2%)

rewrite32.0ms (0.8%)

series1.2s (29.6%)

simplify80.0ms (2%)

prune161.0ms (4.1%)

localize8.0ms (0.2%)

rewrite18.0ms (0.4%)

series612.0ms (15.7%)

simplify100.0ms (2.6%)

prune117.0ms (3%)

regimes101.0ms (2.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample595.0ms (15.2%)

Profiling