Details

analyze668.0ms (35%)

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)

sample20.0ms (1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	43×	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)

localize6.0ms (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_1140`
1×	`diff-log_binary64_1193` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-exp-log_binary64_1139` `pow1_binary64_1162` `sub-neg_binary64_1094` `flip--_binary64_1076` `flip3--_binary64_1105` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137` `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))

series44.0ms (2.3%)

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify67.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (59.0ms)

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)
32.7b	(cbrt.f64 (pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 3))

rewrite17.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

5.0ms	(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))

series230.0ms (12%)

Counts

3 → 9

Calls

3 calls:

147.0ms	(pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 3)
41.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 3))
41.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

simplify75.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4996	1550
1	4996	1550

prune46.0ms (2.4%)

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)

regimes66.0ms (3.5%)

Accuracy

Total 0.0b remaining (10.1%)

Threshold costs 0.0b (10.1%)

Compiler

Compiled 160 to 220 computations (-37.5% 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%)

sample633.0ms (33.1%)

Algorithm

1×

intervals

Results

220.0ms	8000×	body	128	valid
39.0ms	1397×	body	128	invalid

Compiler

Compiled 33 to 41 computations (-24.2% saved)

Details

analyze668.0ms (35%)

sample20.0ms (1%)

simplify13.0ms (0.7%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite4.0ms (0.2%)

series44.0ms (2.3%)

simplify67.0ms (3.5%)

prune10.0ms (0.5%)

localize8.0ms (0.4%)

rewrite17.0ms (0.9%)

series230.0ms (12%)

simplify75.0ms (3.9%)

prune46.0ms (2.4%)

regimes66.0ms (3.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample633.0ms (33.1%)

Profiling