Details

analyze5.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample861.0ms (58.8%)

Results

741.0ms

8256×

body

128

valid

Compiler

Compiled 38 to 29 computations (23.7% saved)

simplify92.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

997×	`fma-def_binary64`
725×	`rules-15-rev_binary64`
502×	`rules-20_binary64`
178×	`rules-48_binary64`
166×	`rules-33_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	18	16
2	40	16
3	110	16
4	373	16
5	1950	16
6	4611	16
7	4337	16
8	4971	16
9	4972	16

prune2.0ms (0.2%)

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 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Compiler

Compiled 47 to 35 computations (25.5% saved)

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓	0.0b	(/.f64 x (+.f64 x 1))
✓	0.0b	(/.f64 1 (-.f64 x 1))

series8.0ms (0.5%)

Counts

3 → 36

Calls

3 calls:

3.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
3.0ms	(/.f64 x (+.f64 x 1))
2.0ms	(/.f64 1 (-.f64 x 1))

rewrite66.0ms (4.5%)

Algorithm

2×	batch-egg-rewrite

Rules

925×	`expm1-log1p-u_binary64`
528×	`prod-diff_binary64`
110×	`egg-rr`
86×	`add-sqr-sqrt_binary64`
83×	`log1p-expm1-u_binary64`

Counts

3 → 110

Calls

3 calls:

64.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
64.0ms	(/.f64 x (+.f64 x 1))
64.0ms	(/.f64 1 (-.f64 x 1))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	197	30
2	2601	30
3	5322	30
0	0	0
1	0	0

simplify64.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

794×	`fma-neg_binary64`
556×	`rules-20_binary64`
499×	`rules-21_binary64`
440×	`rules-15-rev_binary64`
230×	`fma-def_binary64`

Counts

146 → 149

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	488
1	206	466
2	763	398
3	2593	397
4	4776	397
5	4953	397

prune95.0ms (6.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	147	2	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	147	3	150

Error

Counts

150 → 3

Alt Table

Status	Error	Program
▶	31.8b	(*.f64 (fma.f64 x x 1/2) -2)
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
	31.9b	(+.f64 1 (/.f64 2 (*.f64 x x)))

Compiler

Compiled 2508 to 1906 computations (24% saved)

localize6.0ms (0.4%)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	1	1
Total	3	3

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	31.8b	(*.f64 (fma.f64 x x 1/2) -2)
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
▶	31.9b	(+.f64 1 (/.f64 2 (*.f64 x x)))

Compiler

Compiled 35 to 26 computations (25.7% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 2 (*.f64 x x)))
✓	0.4b	(/.f64 2 (*.f64 x x))

series5.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

2.0ms	(/.f64 2 (*.f64 x x))
2.0ms	(+.f64 1 (/.f64 2 (*.f64 x x)))

rewrite55.0ms (3.8%)

Algorithm

2×	batch-egg-rewrite

Rules

624×	`log1p-expm1-u_binary64`
624×	`expm1-log1p-u_binary64`
452×	`fma-neg_binary64`
189×	`prod-diff_binary64`
112×	`expm1-udef_binary64`

Counts

2 → 90

Calls

2 calls:

53.0ms	(+.f64 1 (/.f64 2 (*.f64 x x)))
53.0ms	(/.f64 2 (*.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	166	17
2	1810	17
3	5063	17
0	0	0
1	0	0

simplify74.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

378×	`rules-14-rev_binary64`
333×	`rules-20_binary64`
284×	`rules-14_binary64`
252×	`rules-10-rev_binary64`
247×	`rules-49-rev_binary64`

Counts

114 → 95

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	183
1	21	183
2	44	183
3	101	183
4	257	183
5	1119	183
6	2852	183
7	4735	183
8	5012	183

prune46.0ms (3.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	95	3	98

Error

Counts

98 → 3

Alt Table

Status	Error	Program
✓	31.8b	(*.f64 (fma.f64 x x 1/2) -2)
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓	31.9b	(+.f64 1 (/.f64 2 (*.f64 x x)))

Compiler

Compiled 1293 to 901 computations (30.3% saved)

regimes24.0ms (1.6%)

Accuracy

Total 0.0b remaining (71.8%)

Threshold costs 0.0b (71.8%)

Counts

14 → 1

Compiler

Compiled 302 to 236 computations (21.9% saved)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	10	16
2	9	16

end47.0ms (3.2%)

Compiler: Compiled 51 to 38 computations (25.5% saved)

Details

analyze5.0ms (0.3%)

sample861.0ms (58.8%)

simplify92.0ms (6.3%)

prune2.0ms (0.2%)

localize7.0ms (0.5%)

series8.0ms (0.5%)

rewrite66.0ms (4.5%)

simplify64.0ms (4.4%)

prune95.0ms (6.5%)

localize6.0ms (0.4%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

series5.0ms (0.3%)

rewrite55.0ms (3.8%)

simplify74.0ms (5.1%)

prune46.0ms (3.1%)

regimes24.0ms (1.6%)

simplify1.0ms (0.1%)

end47.0ms (3.2%)

Profiling