Details

analyze202.0ms (3.4%)

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%	21.9%	3.2%	6
74.9%	20.3%	4.8%	7
74.9%	18%	7.1%	8
74.9%	16.8%	8.3%	9
74.9%	15.4%	9.7%	10
74.9%	14.7%	10.3%	11
74.9%	14%	11.1%	12
74.9%	13.6%	11.4%	13
74.9%	13.3%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.3s (39.5%)

Results

805.0ms	1376×	body	1024	valid
660.0ms	5850×	body	128	valid
354.0ms	706×	body	1024	invalid
195.0ms	659×	body	512	valid
106.0ms	348×	body	512	invalid
80.0ms	368×	body	256	valid
31.0ms	162×	body	256	invalid
26.0ms	227×	body	128	invalid
4.0ms	3×	body	2048	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify5.0ms (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

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) (sin.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) (sin.f64 im))

series9.0ms (0.1%)

Counts

1 → 8

Calls

1 calls:

9.0ms

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

rewrite37.0ms (0.6%)

Algorithm

2×	batch-egg-rewrite

Rules

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

Counts

1 → 18

Calls

1 calls:

37.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	113	8
2	1285	8
3	4984	8
0	0	0
1	0	0

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Rules

867×	`fma-def_binary64`
522×	`associate-l_binary64`
474×	`distribute-rgt-neg-in_binary64`
409×	`associate-r_binary64`
370×	`distribute-lft-neg-in_binary64`

Counts

26 → 33

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	168
1	124	160
2	339	139
3	1012	119
4	3007	119
5	4769	119
6	4952	119

prune24.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Error

Counts

34 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
	20.3b	(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im)))
▶	20.3b	(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im)))) 1)

Compiler

Compiled 407 to 199 computations (51.1% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	0.1b	(exp.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
✓	0.1b	(log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
✓	3.3b	(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im)))) 1)

series1.8s (31.2%)

Counts

3 → 72

Calls

3 calls:

1.0s	(log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
424.0ms	(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im)))) 1)
392.0ms	(exp.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im))))

rewrite50.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

752×	`expm1-log1p-u_binary64`
751×	`log1p-expm1-u_binary64`
338×	`prod-diff_binary64`
91×	`egg-rr`
86×	`add-sqr-sqrt_binary64`

Counts

3 → 91

Calls

3 calls:

48.0ms	(exp.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
48.0ms	(log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
48.0ms	(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im)))) 1)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	175	29
2	1947	29
3	5191	29
0	0	0
1	0	0

simplify45.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

570×	`fma-def_binary64`
503×	`associate-r_binary64`
494×	`associate-l_binary64`
440×	`times-frac_binary64`
301×	`associate-/l*_binary64`

Counts

163 → 138

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	105	1174
1	344	1118
2	1162	1052
3	5162	1052

prune84.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	171	3	174

Error

Counts

174 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	20.3b	(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im)))
✓	20.3b	(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im)))) 1)

Compiler

Compiled 2814 to 1491 computations (47% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (exp.f64 re))
✓	0.1b	(pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im))
✓	3.3b	(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im)))

series892.0ms (15.2%)

Counts

3 → 52

Calls

3 calls:

621.0ms	(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im)))
269.0ms	(pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im))
2.0ms	(exp.f64 (exp.f64 re))

rewrite52.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

645×	`log1p-expm1-u_binary64`
645×	`expm1-log1p-u_binary64`
362×	`log-prod_binary64`
141×	`log-pow_binary64`
136×	`expm1-udef_binary64`

Counts

3 → 88

Calls

3 calls:

50.0ms	(exp.f64 (exp.f64 re))
50.0ms	(pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im))
50.0ms	(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	151	23
2	1707	23
3	5235	23
0	0	0
1	0	0

simplify59.0ms (1%)

Algorithm

1×	egg-herbie

Rules

811×	`fma-def_binary64`
651×	`associate-l_binary64`
520×	`associate-r_binary64`
476×	`fma-neg_binary64`
367×	`unswap-sqr_binary64`

Counts

140 → 126

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	804
1	306	765
2	972	700
3	4002	698
4	5149	698

prune57.0ms (1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	126	3	129

Error

Counts

129 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	20.3b	(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im)))
✓	20.3b	(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im)))) 1)

Compiler

Compiled 1693 to 723 computations (57.3% saved)

regimes79.0ms (1.3%)

Accuracy

Total 0.0b remaining (11.2%)

Threshold costs 0.0b (11.2%)

Counts

17 → 1

Compiler

Compiled 947 to 665 computations (29.8% 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

end51.0ms (0.9%)

Compiler: Compiled 41 to 31 computations (24.4% saved)

Details

analyze202.0ms (3.4%)

sample2.3s (39.5%)

simplify5.0ms (0.1%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series9.0ms (0.1%)

rewrite37.0ms (0.6%)

simplify61.0ms (1%)

prune24.0ms (0.4%)

localize7.0ms (0.1%)

series1.8s (31.2%)

rewrite50.0ms (0.9%)

simplify45.0ms (0.8%)

prune84.0ms (1.4%)

localize7.0ms (0.1%)

series892.0ms (15.2%)

rewrite52.0ms (0.9%)

simplify59.0ms (1%)

prune57.0ms (1%)

regimes79.0ms (1.3%)

simplify2.0ms (0%)

end51.0ms (0.9%)

Profiling