Details

analyze197.0ms (4.9%)

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
74.9%	25%	0.1%	5
74.9%	18.7%	6.3%	6
74.9%	18.7%	6.3%	7
74.9%	15.6%	9.5%	8
74.9%	15.6%	9.5%	9
74.9%	14%	11%	10
74.9%	14%	11%	11
74.9%	13.3%	11.8%	12
74.9%	13.3%	11.8%	13
74.9%	12.9%	12.2%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.1s (53.1%)

Results

709.0ms	1399×	body	1024	valid
631.0ms	5784×	body	128	valid
318.0ms	686×	body	1024	invalid
204.0ms	719×	body	512	valid
81.0ms	307×	body	512	invalid
76.0ms	353×	body	256	valid
35.0ms	188×	body	256	invalid
26.0ms	197×	body	128	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify6.0ms (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

Stop Event

1×

saturated

Counts

1 → 1

prune1.0ms (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) (cos.f64 im))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.2%)

Counts

1 → 8

Calls

1 calls:

7.0ms

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

rewrite30.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

483×	`log1p-expm1-u_binary64`
483×	`expm1-log1p-u_binary64`
331×	`unpow-prod-down_binary64`
280×	`log-prod_binary64`
150×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	113	8
2	1336	8

Stop Event

1×	node limit

Counts

1 → 17

Calls

1 calls:

30.0ms

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

simplify26.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

767×	`fma-neg_binary64`
720×	`fma-def_binary64`
541×	`cancel-sign-sub-inv_binary64`
293×	`distribute-rgt-neg-in_binary64`
237×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	166
1	107	160
2	307	142
3	1089	122
4	3080	119

Stop Event

1×	node limit

Counts

25 → 31

prune19.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	2	32

Error

Counts

32 → 2

Alt Table

Status	Error	Program
▶	1.1b	(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))))
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 389 to 184 computations (52.7% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (exp.f64 re))
✓	0.0b	(sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
✓	0.3b	(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
✓	0.6b	(log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))

series1.2s (30%)

Counts

4 → 76

Calls

4 calls:

634.0ms	(log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))
283.0ms	(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
277.0ms	(sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
2.0ms	(exp.f64 (exp.f64 re))

rewrite56.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`log1p-expm1-u_binary64`
706×	`expm1-log1p-u_binary64`
149×	`expm1-udef_binary64`
149×	`log1p-udef_binary64`
92×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	41
1	172	38
2	1996	38

Stop Event

1×	node limit

Counts

4 → 92

Calls

4 calls:

55.0ms	(exp.f64 (exp.f64 re))
55.0ms	(sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
55.0ms	(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
55.0ms	(log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))

simplify45.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

485×	`associate-+l+_binary64`
423×	`associate-+r+_binary64`
309×	`cancel-sign-sub-inv_binary64`
266×	`associate-r_binary64`
244×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	1792
1	539	1684
2	2004	1550

Stop Event

1×	node limit

Counts

168 → 147

prune165.0ms (4.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	294	0	294
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	294	2	296

Error

Counts

296 → 2

Alt Table

Status	Error	Program
✓	1.1b	(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))))
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 8068 to 2574 computations (68.1% saved)

regimes60.0ms (1.5%)

Accuracy

Total 0.0b remaining (18.1%)

Threshold costs 0.0b (18.1%)

Counts

13 → 1

Compiler

Compiled 812 to 550 computations (32.3% 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

Stop Event

1×

saturated

end42.0ms (1.1%)

Compiler: Compiled 40 to 24 computations (40% saved)

Details

analyze197.0ms (4.9%)

sample2.1s (53.1%)

simplify6.0ms (0.1%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series7.0ms (0.2%)

rewrite30.0ms (0.8%)

simplify26.0ms (0.7%)

prune19.0ms (0.5%)

localize11.0ms (0.3%)

series1.2s (30%)

rewrite56.0ms (1.4%)

simplify45.0ms (1.1%)

prune165.0ms (4.1%)

regimes60.0ms (1.5%)

simplify2.0ms (0%)

end42.0ms (1.1%)

Profiling