Details

analyze457.0ms (8.5%)

Algorithm

1×

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
25%	74.9%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample198.0ms (3.7%)

Algorithm

1×

intervals

Results

37.0ms	67×	body	1024	valid
17.0ms	48×	body	1024	invalid
11.0ms	139×	body	128	valid
9.0ms	38×	body	512	valid
6.0ms	73×	body	128	invalid
4.0ms	20×	body	512	invalid
2.0ms	12×	body	256	valid
2.0ms	12×	body	256	invalid

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify78.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

778×	`unswap-sqr_binary64`
536×	`fma-def_binary64`
491×	`associate-/r*_binary64`
476×	`fabs-mul_binary64`
360×	`associate-/l*_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	27	18
2	65	18
3	104	17
4	137	17
5	196	17
6	329	17
7	736	17
8	2242	17
9	2250	17
10	2619	17
11	4128	17
12	4563	17
13	5391	17

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

Compiler

Compiled 53 to 38 computations (28.3% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

series15.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

15.0ms

(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
4×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64`

Counts

1 → 25

Calls

1 calls:

11.0ms

(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

simplify88.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

809×	`fma-neg_binary64`
639×	`fma-def_binary64`
407×	`times-frac_binary64`
375×	`*-commutative_binary64`
336×	`distribute-rgt-in_binary64`

Counts

49 → 54

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1214
1	365	1025
2	1350	1003
3	3869	1002
4	4967	1002
5	5162	1002

prune46.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	2	55

Error

Counts

55 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
▶	0.0b	(+.f64 (.f64 (exp.f64 (-.f64 0 im)) (.f64 1/2 (sin.f64 re))) (.f64 (exp.f64 im) (.f64 1/2 (sin.f64 re))))

Compiler

Compiled 1256 to 727 computations (42.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (exp.f64 (-.f64 0 im)) (.f64 1/2 (sin.f64 re)))
✓	0.0b	(+.f64 (.f64 (exp.f64 (-.f64 0 im)) (.f64 1/2 (sin.f64 re))) (.f64 (exp.f64 im) (.f64 1/2 (sin.f64 re))))
✓	0.0b	(.f64 (exp.f64 im) (.f64 1/2 (sin.f64 re)))

series47.0ms (0.9%)

Counts

3 → 72

Calls

3 calls:

24.0ms

(+.f64 (*.f64 (exp.f64 (-.f64 0 im)) (*.f64 1/2 (sin.f64 re))) (*.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))

11.0ms

(*.f64 (exp.f64 (-.f64 0 im)) (*.f64 1/2 (sin.f64 re)))

11.0ms

(*.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re)))

rewrite30.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`associate-l_binary64`
13×	`exp-sum_binary64`
13×	`add-cbrt-cube_binary64`
13×	`pow1_binary64`
12×	`*-un-lft-identity_binary64`

Counts

3 → 70

Calls

3 calls:

11.0ms

(*.f64 (exp.f64 (-.f64 0 im)) (*.f64 1/2 (sin.f64 re)))

10.0ms

(+.f64 (*.f64 (exp.f64 (-.f64 0 im)) (*.f64 1/2 (sin.f64 re))) (*.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))

5.0ms

(*.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re)))

simplify101.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

949×	`fma-neg_binary64`
603×	`cancel-sign-sub-inv_binary64`
396×	`distribute-rgt-out_binary64`
312×	`associate-r_binary64`
270×	`associate-l_binary64`

Counts

142 → 158

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	213	2492
1	599	2222
2	2378	2176
3	4746	2169
4	5161	2169

prune136.0ms (2.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	158	2	160

Error

Counts

160 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
✓	0.0b	(+.f64 (.f64 (exp.f64 (-.f64 0 im)) (.f64 1/2 (sin.f64 re))) (.f64 (exp.f64 im) (.f64 1/2 (sin.f64 re))))

Compiler

Compiled 4015 to 2257 computations (43.8% saved)

regimes245.0ms (4.5%)

Accuracy

Total 0.0b remaining (17.1%)

Threshold costs 0.0b (17.1%)

Counts

24 → 1

Compiler

Compiled 2444 to 1752 computations (28.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`sub0-neg_binary64`
1×	`sub-neg_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	19	26
2	22	26
3	23	26
4	23	26

end1.0ms (0%)

Compiler: Compiled 18 to 13 computations (27.8% saved)

sample3.9s (72.6%)

Algorithm

1×

intervals

Results

1.1s	2004×	body	1024	valid
881.0ms	1916×	body	1024	invalid
359.0ms	4468×	body	128	valid
343.0ms	1015×	body	512	valid
264.0ms	933×	body	512	invalid
198.0ms	2443×	body	128	invalid
159.0ms	509×	body	256	valid
79.0ms	456×	body	256	invalid
5.0ms	4×	body	2048	valid

Compiler

Compiled 68 to 52 computations (23.5% saved)

Details

analyze457.0ms (8.5%)

sample198.0ms (3.7%)

simplify78.0ms (1.4%)

prune5.0ms (0.1%)

localize8.0ms (0.2%)

series15.0ms (0.3%)

rewrite12.0ms (0.2%)

simplify88.0ms (1.6%)

prune46.0ms (0.9%)

localize10.0ms (0.2%)

series47.0ms (0.9%)

rewrite30.0ms (0.6%)

simplify101.0ms (1.9%)

prune136.0ms (2.5%)

regimes245.0ms (4.5%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample3.9s (72.6%)

Profiling