Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample2.1s (78.4%)

Results

1.0s	2040×	body	1024	valid
487.0ms	4604×	body	128	valid
316.0ms	1130×	body	512	valid
91.0ms	480×	body	256	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 41 to 32 computations (22% saved)

simplify113.0ms (4.3%)

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

prune3.0ms (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 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 50 to 35 computations (30% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series2.0ms (0.1%)

Counts

1 → 8

Calls

1 calls:

2.0ms

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

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64`
3×	`add-log-exp_binary64`
3×	`fma-def_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`

Counts

1 → 17

Calls

1 calls:

4.0ms

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

simplify68.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

909×	`fma-neg_binary64`
724×	`unswap-sqr_binary64`
476×	`fma-def_binary64`
344×	`associate-l_binary64`
294×	`associate-r_binary64`

Counts

25 → 29

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	320
1	128	283
2	295	274
3	724	274
4	2402	273
5	4600	273
6	5145	273

prune26.0ms (1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	1	30

Error

Counts

30 → 1

Alt Table

Status	Error	Program
▶	0b	(.f64 (.f64 1/2 (cos.f64 re)) (log.f64 (*.f64 (exp.f64 (exp.f64 (neg.f64 im))) (exp.f64 (exp.f64 im)))))

Compiler

Compiled 512 to 241 computations (52.9% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (exp.f64 im))
✓	0.0b	(exp.f64 (exp.f64 (neg.f64 im)))
✓	0.4b	(*.f64 (exp.f64 (exp.f64 (neg.f64 im))) (exp.f64 (exp.f64 im)))

series15.0ms (0.6%)

Counts

3 → 20

Calls

3 calls:

11.0ms	(*.f64 (exp.f64 (exp.f64 (neg.f64 im))) (exp.f64 (exp.f64 im)))
2.0ms	(exp.f64 (exp.f64 (neg.f64 im)))
2.0ms	(exp.f64 (exp.f64 im))

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64`
8×	`exp-prod_binary64`
7×	`add-cube-cbrt_binary64`
5×	`add-cbrt-cube_binary64`

Counts

3 → 47

Calls

3 calls:

6.0ms	(*.f64 (exp.f64 (exp.f64 (neg.f64 im))) (exp.f64 (exp.f64 im)))
2.0ms	(exp.f64 (exp.f64 (neg.f64 im)))
1.0ms	(exp.f64 (exp.f64 im))

simplify94.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1030×	`fma-neg_binary64`
677×	`cancel-sign-sub-inv_binary64`
423×	`*-commutative_binary64`
317×	`unswap-sqr_binary64`
257×	`associate-l_binary64`

Counts

67 → 87

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	97	887
1	209	781
2	545	752
3	1611	743
4	3245	741
5	4751	741
6	4962	741
7	4910	741

prune49.0ms (1.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	1	88

Error

Counts

88 → 1

Alt Table

Status	Error	Program
✓	0b	(.f64 (.f64 1/2 (cos.f64 re)) (log.f64 (*.f64 (exp.f64 (exp.f64 (neg.f64 im))) (exp.f64 (exp.f64 im)))))

Compiler

Compiled 1691 to 750 computations (55.6% saved)

regimes118.0ms (4.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

20 → 1

Compiler

Compiled 1878 to 1460 computations (22.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`+-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	14	24
1	21	24
2	23	24
3	24	24
4	24	24

end45.0ms (1.7%)

Compiler: Compiled 48 to 39 computations (18.8% saved)

Details

analyze1.0ms (0.1%)

sample2.1s (78.4%)

simplify113.0ms (4.3%)

prune3.0ms (0.1%)

localize9.0ms (0.3%)

series2.0ms (0.1%)

rewrite5.0ms (0.2%)

simplify68.0ms (2.5%)

prune26.0ms (1%)

localize11.0ms (0.4%)

series15.0ms (0.6%)

rewrite10.0ms (0.4%)

simplify94.0ms (3.5%)

prune49.0ms (1.9%)

regimes118.0ms (4.4%)

simplify3.0ms (0.1%)

end45.0ms (1.7%)

Profiling