Details

analyze490.0ms (8.1%)

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
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample4.2s (69.1%)

Results

1.4s	2148×	body	1024	valid
1.0s	2037×	body	1024	invalid
584.0ms	4597×	body	128	valid
356.0ms	1029×	body	512	valid
315.0ms	983×	body	512	invalid
133.0ms	544×	body	256	invalid
113.0ms	479×	body	256	valid
101.0ms	749×	body	128	invalid
4.0ms	3×	body	2048	valid

Compiler

Compiled 41 to 32 computations (22% saved)

simplify111.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

575×	`fma-def_binary64`
533×	`associate-/l*_binary64`
430×	`unswap-sqr_binary64`
374×	`times-frac_binary64`
354×	`fma-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	28	18
2	65	18
3	99	17
4	154	17
5	269	17
6	532	17
7	916	17
8	3332	17
9	3260	17
10	4006	17
11	4265	17
12	4692	17
13	4840	17
14	4891	17
15	4917	17

prune2.0ms (0%)

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 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 50 to 35 computations (30% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

series15.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

15.0ms

(*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite8.0ms (0.1%)

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:

7.0ms

(*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

simplify76.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

665×	`fma-neg_binary64`
571×	`fma-def_binary64`
389×	`times-frac_binary64`
350×	`distribute-rgt-in_binary64`
349×	`*-commutative_binary64`

Counts

49 → 52

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1187
1	341	1009
2	1284	991
3	3715	991
4	4820	991
5	4982	991

prune33.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	2	53

Error

Counts

53 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	0.1b	(expm1.f64 (log1p.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))

Compiler

Compiled 1126 to 500 computations (55.6% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	0.2b	(expm1.f64 (log1p.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
✓	0.3b	(log1p.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

series764.0ms (12.6%)

Counts

2 → 48

Calls

2 calls:

747.0ms	(log1p.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
16.0ms	(expm1.f64 (log1p.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`expm1-log1p-u_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 22

Calls

2 calls:

0.0ms	(log1p.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
0.0ms	(expm1.f64 (log1p.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))

simplify125.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

954×	`fma-def_binary64`
256×	`cancel-sign-sub-inv_binary64`
204×	`distribute-rgt-in_binary64`
168×	`fma-neg_binary64`
152×	`unswap-sqr_binary64`

Counts

70 → 73

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	226	2725
1	647	2365
2	2506	2275
3	4749	2275
4	4972	2275

prune96.0ms (1.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	125	2	127

Error

Counts

127 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	0.1b	(expm1.f64 (log1p.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))

Compiler

Compiled 3928 to 2081 computations (47% saved)

regimes74.0ms (1.2%)

Accuracy

Total 0.0b remaining (4.4%)

Threshold costs 0.0b (4.4%)

Counts

12 → 1

Compiler

Compiled 848 to 632 computations (25.5% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	18	18
2	20	18
3	21	18
4	21	18

end49.0ms (0.8%)

Compiler: Compiled 54 to 42 computations (22.2% saved)

Details

analyze490.0ms (8.1%)

sample4.2s (69.1%)

simplify111.0ms (1.8%)

prune2.0ms (0%)

localize8.0ms (0.1%)

series15.0ms (0.3%)

rewrite8.0ms (0.1%)

simplify76.0ms (1.3%)

prune33.0ms (0.6%)

localize11.0ms (0.2%)

series764.0ms (12.6%)

rewrite2.0ms (0%)

simplify125.0ms (2.1%)

prune96.0ms (1.6%)

regimes74.0ms (1.2%)

simplify3.0ms (0%)

end49.0ms (0.8%)

Profiling