Details

analyze540.0ms (14.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4936	36
1	4936	36
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
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 12 to 11 computations (8.3% saved)

sample70.0ms (1.9%)

Algorithm

1×

intervals

Results

20.0ms	61×	body	1024	valid
13.0ms	64×	body	1024	invalid
7.0ms	142×	body	128	valid
7.0ms	40×	body	512	valid
4.0ms	27×	body	512	invalid
1.0ms	26×	body	128	invalid
1.0ms	13×	body	256	valid
1.0ms	9×	body	256	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify126.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	5290	18

prune3.0ms (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 22 to 20 computations (9.1% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_799` `*-un-lft-identity_binary64_760`
1×	`sum-log_binary64_851` `pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out_binary64_711` `+-commutative_binary64_690`

Counts

1 → 12

Calls

1 calls:

6.0ms

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

Compiler

Compiled 225 to 80 computations (64.4% saved)

series29.0ms (0.8%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

23.0ms

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

Compiler

Compiled 177 to 151 computations (14.7% saved)

simplify68.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4918	245
1	4918	245

prune16.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Error

0.0b

Counts

19 → 2

Compiler

Compiled 284 to 132 computations (53.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 2 (*.f64 im im))
0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 2 (*.f64 im im)))

rewrite41.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
4×	`add-log-exp_binary64_799`
3×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `add-cube-cbrt_binary64_795` `cbrt-unprod_binary64_793` `add-sqr-sqrt_binary64_782` `-un-lft-identity_binary64_760` `associate-r*_binary64_700`
2×	`flip3-+_binary64_763` `associate-*r/_binary64_702` `flip-+_binary64_734`
1×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `associate-l_binary64_701` `*-commutative_binary64_691` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

2 → 33

Calls

2 calls:

7.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 2 (*.f64 im im)))
5.0ms	(+.f64 2 (*.f64 im im))

Compiler

Compiled 606 to 339 computations (44.1% saved)

series211.0ms (5.6%)

Error

0.0b

Counts

2 → 17

Calls

2 calls:

164.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 2 (*.f64 im im)))
33.0ms	(+.f64 2 (*.f64 im im))

Compiler

Compiled 522 to 443 computations (15.1% saved)

simplify72.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4938	698
1	4938	698

prune35.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	50	2	52

Error

0.0b

Counts

52 → 2

Compiler

Compiled 672 to 372 computations (44.6% saved)

regimes100.0ms (2.7%)

Accuracy

Total 0.0b remaining (28.4%)

Threshold costs 0.0b (28.4%)

Compiler

Compiled 602 to 542 computations (10% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	18
1	21	18

end0.0ms (0%)

sample2.4s (64.1%)

Algorithm

1×

intervals

Results

661.0ms	1990×	body	1024	valid
442.0ms	1964×	body	1024	invalid
245.0ms	4552×	body	128	valid
179.0ms	969×	body	512	valid
152.0ms	942×	body	512	invalid
56.0ms	480×	body	256	valid
47.0ms	444×	body	256	invalid
43.0ms	738×	body	128	invalid
7.0ms	9×	body	2048	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 115 to 104 computations (9.6% saved)

Details

analyze540.0ms (14.4%)

sample70.0ms (1.9%)

simplify126.0ms (3.4%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite21.0ms (0.6%)

series29.0ms (0.8%)

simplify68.0ms (1.8%)

prune16.0ms (0.4%)

localize7.0ms (0.2%)

rewrite41.0ms (1.1%)

series211.0ms (5.6%)

simplify72.0ms (1.9%)

prune35.0ms (0.9%)

regimes100.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.4s (64.1%)

Profiling