Details

analyze674.0ms (24.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4872	20
1	4872	20
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	50%	25.1%	7
31.2%	37.5%	31.3%	8
39%	24.2%	36.8%	9
42.9%	18.3%	38.7%	10
47.2%	11.9%	40.9%	11
49.4%	9.1%	41.6%	12
51.6%	5.9%	42.5%	13
52.7%	4.5%	42.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify358.0ms (13%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (351.0ms)

Iter	Nodes	Cost
0	10525	10

prune4.0ms (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 10 computations (28.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64`
1×	`diff-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3--_binary64` `*-un-lft-identity_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `cancel-sign-sub-inv_binary64`

Counts

1 → 13

Calls

1 calls:

5.0ms

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

Compiler

Compiled 194 to 47 computations (75.8% saved)

series109.0ms (3.9%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

102.0ms

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

Compiler

Compiled 174 to 164 computations (5.7% saved)

simplify46.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4867	273
1	4867	273

prune17.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	2	26

Error

0.0b

Counts

26 → 2

Compiler

Compiled 229 to 51 computations (77.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 im re) (-.f64 re im))

rewrite36.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`add-cube-cbrt_binary64` `associate-r_binary64`
4×	`frac-times_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `flip3-+_binary64` `flip--_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-lft-out_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

1 → 37

Calls

1 calls:

10.0ms

(*.f64 (+.f64 im re) (-.f64 re im))

Compiler

Compiled 607 to 159 computations (73.8% saved)

series112.0ms (4.1%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

107.0ms

(*.f64 (+.f64 im re) (-.f64 re im))

Compiler

Compiled 174 to 164 computations (5.7% saved)

simplify66.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5696	706

prune29.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	48	3	51

Error

Counts

51 → 3

Compiler

Compiled 616 to 135 computations (78.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 re im))
0.0b	(sqrt.f64 (+.f64 im re))
0.2b	(*.f64 (-.f64 re im) (sqrt.f64 (+.f64 re im)))
0.2b	(.f64 (sqrt.f64 (+.f64 im re)) (.f64 (-.f64 re im) (sqrt.f64 (+.f64 re im))))

rewrite135.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`sqrt-div_binary64`
32×	`frac-times_binary64`
23×	`flip3-+_binary64` `flip-+_binary64`
21×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
17×	`sqrt-prod_binary64`
16×	`associate-*r/_binary64`
13×	`pow1_binary64`
12×	`flip3--_binary64` `flip--_binary64` `associate-l_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64`
10×	`associate-*l/_binary64`
8×	`associate-r_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64`
2×	`*-commutative_binary64` `unswap-sqr_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 113

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (+.f64 im re)) (.f64 (-.f64 re im) (sqrt.f64 (+.f64 re im))))
10.0ms	(*.f64 (-.f64 re im) (sqrt.f64 (+.f64 re im)))
3.0ms	(sqrt.f64 (+.f64 im re))
3.0ms	(sqrt.f64 (+.f64 re im))

Compiler

Compiled 2878 to 583 computations (79.7% saved)

series291.0ms (10.6%)

Error

Counts

4 → 43

Calls

4 calls:

111.0ms	(.f64 (sqrt.f64 (+.f64 im re)) (.f64 (-.f64 re im) (sqrt.f64 (+.f64 re im))))
68.0ms	(*.f64 (-.f64 re im) (sqrt.f64 (+.f64 re im)))
43.0ms	(sqrt.f64 (+.f64 im re))
42.0ms	(sqrt.f64 (+.f64 re im))

Compiler

Compiled 1604 to 1098 computations (31.5% saved)

simplify66.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4994	2948
1	4994	2948

prune110.0ms (4%)

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

Counts

159 → 3

Compiler

Compiled 3077 to 760 computations (75.3% saved)

regimes118.0ms (4.3%)

Accuracy

Total 0.0b remaining (87.5%)

Threshold costs 0.0b (87.5%)

Compiler

Compiled 797 to 470 computations (41% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms (0%)

sample532.0ms (19.3%)

Algorithm

1×

intervals

Results

167.0ms	8000×	body	128	valid
3.0ms	152×	body	128	invalid

Compiler

Compiled 139 to 84 computations (39.6% saved)

Details

analyze674.0ms (24.4%)

sample17.0ms (0.6%)

simplify358.0ms (13%)

prune4.0ms (0.1%)

localize6.0ms (0.2%)

rewrite17.0ms (0.6%)

series109.0ms (3.9%)

simplify46.0ms (1.7%)

prune17.0ms (0.6%)

localize4.0ms (0.2%)

rewrite36.0ms (1.3%)

series112.0ms (4.1%)

simplify66.0ms (2.4%)

prune29.0ms (1%)

localize9.0ms (0.3%)

rewrite135.0ms (4.9%)

series291.0ms (10.6%)

simplify66.0ms (2.4%)

prune110.0ms (4%)

regimes118.0ms (4.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample532.0ms (19.3%)

Profiling