Details

analyze1.2s (16.3%)

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
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
12.5%	85.9%	1.7%	7
18.7%	78.8%	2.4%	8
18.7%	77.7%	3.6%	9
21.9%	74%	4.2%	10
21.9%	73.3%	4.9%	11
23.4%	71.4%	5.2%	12
23.4%	71%	5.6%	13
24.2%	70%	5.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample5.2s (72.4%)

Results

3.1s	1359×	body	8192	exit
767.0ms	1355×	body	1024	valid
749.0ms	5837×	body	128	valid
215.0ms	683×	body	512	valid
159.0ms	330×	body	1024	invalid
127.0ms	378×	body	256	valid
50.0ms	172×	body	512	invalid
18.0ms	86×	body	256	invalid
18.0ms	128×	body	128	invalid
3.0ms	3×	body	2048	valid

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify6.0ms (0.1%)

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

prune2.0ms (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)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.1%)

Counts

1 → 8

Calls

1 calls:

8.0ms

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

rewrite5.0ms (0.1%)

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:

4.0ms

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

simplify71.0ms (1%)

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

prune38.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	2	45

Error

Counts

45 → 2

Alt Table

Status	Error	Program
	21.9b	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
▶	19.7b	(+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im)))

Compiler

Compiled 555 to 217 computations (60.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 (pow.f64 re 2) (sin.f64 im)))
✓	0.0b	(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
✓	0.1b	(*.f64 re (sin.f64 im))
✓	2.7b	(*.f64 (pow.f64 re 2) (sin.f64 im))

series45.0ms (0.6%)

Counts

4 → 19

Calls

4 calls:

16.0ms	(.f64 1/2 (.f64 (pow.f64 re 2) (sin.f64 im)))
13.0ms	(*.f64 (pow.f64 re 2) (sin.f64 im))
8.0ms	(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
7.0ms	(*.f64 re (sin.f64 im))

rewrite21.0ms (0.3%)

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×	`*-un-lft-identity_binary64`

Counts

4 → 86

Calls

4 calls:

6.0ms	(*.f64 (pow.f64 re 2) (sin.f64 im))
5.0ms	(.f64 1/2 (.f64 (pow.f64 re 2) (sin.f64 im)))
4.0ms	(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
3.0ms	(*.f64 re (sin.f64 im))

simplify97.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

493×	`cancel-sign-sub-inv_binary64`
451×	`*-commutative_binary64`
408×	`sub-neg_binary64`
380×	`distribute-rgt-neg-in_binary64`
227×	`associate-r_binary64`

Counts

105 → 154

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	180	1587
1	486	1415
2	1675	1358
3	3892	1358
4	4726	1358
5	4929	1358

prune93.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	154	2	156

Error

Counts

156 → 2

Alt Table

Status	Error	Program
▶	21.9b	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
✓	19.7b	(+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im)))

Compiler

Compiled 3600 to 1673 computations (53.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	0.0b	(exp.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
✓	1.8b	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (sin.f64 im))))

series26.0ms (0.4%)

Counts

2 → 32

Calls

2 calls:

14.0ms	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
13.0ms	(exp.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

rewrite4.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-log-exp_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`log-prod_binary64`
3×	`add-cube-cbrt_binary64`

Counts

2 → 28

Calls

2 calls:

1.0ms	(exp.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
1.0ms	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (sin.f64 im))))

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

745×	`fma-def_binary64`
665×	`associate-l_binary64`
528×	`associate-r_binary64`
476×	`fma-neg_binary64`
451×	`unswap-sqr_binary64`

Counts

60 → 73

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	944
1	303	862
2	950	803
3	3940	795
4	5326	795

prune58.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	117	2	119

Error

Counts

119 → 2

Alt Table

Status	Error	Program
✓	21.9b	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
✓	19.7b	(+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im)))

Compiler

Compiled 1702 to 659 computations (61.3% saved)

regimes202.0ms (2.8%)

Accuracy

Total -0.4b remaining (-2834.7%)

Threshold costs -0.4b (-2834.7%)

Counts

49 → 1

Compiler

Compiled 2897 to 1910 computations (34.1% saved)

simplify2.0ms (0%)

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

end56.0ms (0.8%)

Compiler: Compiled 41 to 28 computations (31.7% saved)

Details

analyze1.2s (16.3%)

sample5.2s (72.4%)

simplify6.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series8.0ms (0.1%)

rewrite5.0ms (0.1%)

simplify71.0ms (1%)

prune38.0ms (0.5%)

localize11.0ms (0.2%)

series45.0ms (0.6%)

rewrite21.0ms (0.3%)

simplify97.0ms (1.3%)

prune93.0ms (1.3%)

localize7.0ms (0.1%)

series26.0ms (0.4%)

rewrite4.0ms (0%)

simplify60.0ms (0.8%)

prune58.0ms (0.8%)

regimes202.0ms (2.8%)

simplify2.0ms (0%)

end56.0ms (0.8%)

Profiling