Details

analyze351.0ms (6.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
81.2%	18.7%	0.1%	5
81.2%	15.6%	3.2%	6
81.2%	15.6%	3.2%	7
81.2%	14%	4.8%	8
81.2%	14%	4.8%	9
81.2%	13.3%	5.6%	10
81.2%	13.3%	5.6%	11
81.2%	12.9%	6%	12
81.2%	12.9%	6%	13
81.2%	12.7%	6.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample94.0ms (1.7%)

Algorithm

1×

intervals

Results

33.0ms	50×	body	1024	valid
17.0ms	173×	body	128	valid
11.0ms	20×	body	1024	invalid
9.0ms	24×	body	512	valid
3.0ms	11×	body	512	invalid
2.0ms	20×	body	128	invalid
2.0ms	9×	body	256	valid
1.0ms	3×	body	256	invalid

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

prune3.0ms (0%)

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

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

series17.0ms (0.3%)

Counts

1 → 8

Calls

1 calls:

16.0ms

(*.f64 (exp.f64 re) (sin.f64 im))

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 20

Calls

1 calls:

8.0ms

(*.f64 (exp.f64 re) (sin.f64 im))

simplify115.0ms (2%)

Algorithm

1×	egg-herbie

Rules

963×	`fma-neg_binary64`
601×	`cancel-sign-sub-inv_binary64`
423×	`unswap-sqr_binary64`
355×	`distribute-rgt-neg-in_binary64`
283×	`*-commutative_binary64`

Counts

28 → 44

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	408
1	185	370
2	527	349
3	1418	335
4	2537	333
5	4402	333
6	4955	333

prune52.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	3	45

Error

Counts

45 → 3

Alt Table

Status	Error	Program
	30.7b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	19.6b	(+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im)))

Compiler

Compiled 560 to 220 computations (60.7% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im)))
✓	0.0b	(.f64 1/2 (.f64 (pow.f64 re 2) (sin.f64 im)))
✓	0.1b	(*.f64 re (sin.f64 im))
✓	4.7b	(*.f64 (pow.f64 re 2) (sin.f64 im))

series114.0ms (2%)

Counts

4 → 22

Calls

4 calls:

41.0ms	(+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im)))
31.0ms	(.f64 1/2 (.f64 (pow.f64 re 2) (sin.f64 im)))
27.0ms	(*.f64 (pow.f64 re 2) (sin.f64 im))
15.0ms	(*.f64 re (sin.f64 im))

rewrite51.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-exp-log_binary64`
18×	`add-sqr-sqrt_binary64`
14×	`associate-l_binary64`
13×	`add-cbrt-cube_binary64`
11×	`prod-exp_binary64`

Counts

4 → 86

Calls

4 calls:

17.0ms	(+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im)))
10.0ms	(.f64 1/2 (.f64 (pow.f64 re 2) (sin.f64 im)))
9.0ms	(*.f64 (pow.f64 re 2) (sin.f64 im))
6.0ms	(*.f64 re (sin.f64 im))

simplify172.0ms (3%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-neg_binary64`
604×	`cancel-sign-sub-inv_binary64`
284×	`distribute-rgt-in_binary64`
245×	`associate-r_binary64`
230×	`distribute-lft-in_binary64`

Counts

108 → 164

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	190	2029
1	540	1744
2	2026	1676
3	4501	1673
4	4999	1673
5	4977	1673

prune193.0ms (3.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	164	3	167

Error

Counts

167 → 3

Alt Table

Status	Error	Program
▶	30.7b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	19.6b	(+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im)))

Compiler

Compiled 3915 to 1836 computations (53.1% saved)

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 re (log.f64 (sin.f64 im)))
✓	0.4b	(log.f64 (sin.f64 im))
✓	0.9b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))

series1.0s (18.2%)

Counts

3 → 19

Calls

3 calls:

398.0ms	(+.f64 re (log.f64 (sin.f64 im)))
328.0ms	(log.f64 (sin.f64 im))
304.0ms	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
7×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`
6×	`log-prod_binary64`
6×	`add-log-exp_binary64`

Counts

3 → 52

Calls

3 calls:

7.0ms	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
6.0ms	(+.f64 re (log.f64 (sin.f64 im)))
2.0ms	(log.f64 (sin.f64 im))

simplify101.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

554×	`fma-neg_binary64`
358×	`fma-def_binary64`
311×	`distribute-rgt-in_binary64`
230×	`associate-r_binary64`
228×	`distribute-rgt-out_binary64`

Counts

71 → 93

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	859
1	271	776
2	778	750
3	2479	735
4	4759	735
5	5023	735

prune74.0ms (1.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Error

Counts

96 → 3

Alt Table

Status	Error	Program
✓	30.7b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	19.6b	(+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im)))

Compiler

Compiled 1164 to 462 computations (60.3% saved)

regimes211.0ms (3.7%)

Accuracy

Total 0.0b remaining (65.3%)

Threshold costs 0.0b (65.3%)

Counts

26 → 1

Compiler

Compiled 1347 to 930 computations (31% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

end1.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

sample3.0s (52.8%)

Algorithm

1×

intervals

Results

980.0ms	1319×	body	1024	valid
564.0ms	5633×	body	128	valid
323.0ms	604×	body	1024	invalid
232.0ms	709×	body	512	valid
94.0ms	310×	body	512	invalid
87.0ms	842×	body	128	invalid
78.0ms	333×	body	256	valid
31.0ms	161×	body	256	invalid
10.0ms	6×	body	2048	valid

Compiler

Compiled 50 to 35 computations (30% saved)

Details

analyze351.0ms (6.2%)

sample94.0ms (1.7%)

simplify15.0ms (0.3%)

prune3.0ms (0%)

localize9.0ms (0.2%)

series17.0ms (0.3%)

rewrite10.0ms (0.2%)

simplify115.0ms (2%)

prune52.0ms (0.9%)

localize18.0ms (0.3%)

series114.0ms (2%)

rewrite51.0ms (0.9%)

simplify172.0ms (3%)

prune193.0ms (3.4%)

localize15.0ms (0.3%)

series1.0s (18.2%)

rewrite20.0ms (0.3%)

simplify101.0ms (1.8%)

prune74.0ms (1.3%)

regimes211.0ms (3.7%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample3.0s (52.8%)

Profiling