Details

analyze111.0ms (5.3%)

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
67.1%	32.8%	0.1%	7
71%	28.9%	0.1%	8
82.3%	17.6%	0.1%	9
84.9%	15%	0.1%	10
90.8%	9.1%	0.1%	11
92.2%	7.7%	0.1%	12
95.3%	4.6%	0.1%	13
96%	3.9%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample852.0ms (41%)

Results

818.0ms

8256×

body

128

valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	17	10
3	20	10
4	21	10
5	20	10

prune2.0ms (0.1%)

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

7.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	7.3b	(/.f64 (*.f64 x y) (+.f64 y 1))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.8b	(/.f64 (*.f64 x y) (+.f64 y 1))

series13.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

13.0ms

(/.f64 (*.f64 x y) (+.f64 y 1))

rewrite47.0ms (2.3%)

Algorithm

2×	batch-egg-rewrite

Rules

797×	`log1p-expm1-u_binary64`
797×	`expm1-log1p-u_binary64`
99×	`prod-diff_binary64`
75×	`add-sqr-sqrt_binary64`
70×	`add-log-exp_binary64`

Counts

1 → 45

Calls

1 calls:

46.0ms

(/.f64 (*.f64 x y) (+.f64 y 1))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	150	10
2	1998	10
3	5074	10
0	0	0
1	0	0

simplify72.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

421×	`fma-def_binary64`
398×	`distribute-rgt-out--_binary64`
345×	`distribute-rgt-out_binary64`
287×	`distribute-rgt-neg-in_binary64`
256×	`distribute-lft-neg-in_binary64`

Counts

69 → 60

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	276
1	86	268
2	228	263
3	675	263
4	2403	262
5	4756	262
6	5028	262

prune51.0ms (2.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	57	3	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	4	61

Error

Counts

61 → 4

Alt Table

Status	Error	Program
✓	7.3b	(/.f64 (*.f64 x y) (+.f64 y 1))
	0.1b	(.f64 x (.f64 y (/.f64 1 (+.f64 y 1))))
▶	0.1b	(*.f64 x (/.f64 1 (/.f64 (+.f64 y 1) y)))
	28.6b	(.f64 (+.f64 y (pow.f64 y 3)) (-.f64 x (.f64 y x)))

Compiler

Compiled 788 to 448 computations (43.1% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 y 1) y)
✓	0.0b	(*.f64 x (/.f64 1 (/.f64 (+.f64 y 1) y)))
✓	0.1b	(/.f64 1 (/.f64 (+.f64 y 1) y))

series13.0ms (0.6%)

Counts

3 → 48

Calls

3 calls:

9.0ms	(*.f64 x (/.f64 1 (/.f64 (+.f64 y 1) y)))
2.0ms	(/.f64 1 (/.f64 (+.f64 y 1) y))
2.0ms	(/.f64 (+.f64 y 1) y)

rewrite92.0ms (4.4%)

Algorithm

2×	batch-egg-rewrite

Rules

892×	`log1p-expm1-u_binary64`
892×	`expm1-log1p-u_binary64`
102×	`egg-rr`
99×	`prod-diff_binary64`
89×	`add-sqr-sqrt_binary64`

Counts

3 → 102

Calls

3 calls:

90.0ms	(/.f64 (+.f64 y 1) y)
90.0ms	(*.f64 x (/.f64 1 (/.f64 (+.f64 y 1) y)))
90.0ms	(/.f64 1 (/.f64 (+.f64 y 1) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	179	24
2	2289	24
3	5668	24
0	0	0
1	0	0

simplify82.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

568×	`fma-def_binary64`
396×	`sub-neg_binary64`
315×	`distribute-rgt-neg-in_binary64`
314×	`neg-mul-1_binary64`
310×	`fma-neg_binary64`

Counts

150 → 133

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	483
1	120	473
2	326	463
3	906	463
4	3098	463
5	4582	463
6	4964	463

prune87.0ms (4.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	134	3	137

Error

Counts

137 → 3

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 x (/.f64 1 (+.f64 1 (/.f64 1 y))))
✓	7.3b	(/.f64 (*.f64 x y) (+.f64 y 1))
	0.1b	(/.f64 x (/.f64 (+.f64 1 y) y))

Compiler

Compiled 1653 to 1087 computations (34.2% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 1 y))
✓	0.0b	(*.f64 x (/.f64 1 (+.f64 1 (/.f64 1 y))))
✓	0.1b	(/.f64 1 (+.f64 1 (/.f64 1 y)))

series20.0ms (1%)

Counts

3 → 45

Calls

3 calls:

14.0ms	(*.f64 x (/.f64 1 (+.f64 1 (/.f64 1 y))))
4.0ms	(+.f64 1 (/.f64 1 y))
2.0ms	(/.f64 1 (+.f64 1 (/.f64 1 y)))

rewrite57.0ms (2.8%)

Algorithm

2×	batch-egg-rewrite

Rules

796×	`log1p-expm1-u_binary64`
796×	`expm1-log1p-u_binary64`
120×	`prod-diff_binary64`
88×	`egg-rr`
85×	`add-sqr-sqrt_binary64`

Counts

3 → 88

Calls

3 calls:

56.0ms	(+.f64 1 (/.f64 1 y))
56.0ms	(*.f64 x (/.f64 1 (+.f64 1 (/.f64 1 y))))
56.0ms	(/.f64 1 (+.f64 1 (/.f64 1 y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	174	27
2	2074	27
3	5153	27
0	0	0
1	0	0

simplify100.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

567×	`fma-def_binary64`
396×	`sub-neg_binary64`
315×	`distribute-rgt-neg-in_binary64`
314×	`neg-mul-1_binary64`
310×	`fma-neg_binary64`

Counts

133 → 117

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	462
1	116	452
2	318	442
3	889	442
4	3061	442
5	4545	442
6	4979	442
7	4936	442

prune108.0ms (5.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	117	3	120

Error

Counts

120 → 3

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 x (/.f64 1 (+.f64 1 (/.f64 1 y))))
✓	7.3b	(/.f64 (*.f64 x y) (+.f64 y 1))
▶	0.1b	(/.f64 x (+.f64 1 (/.f64 1 y)))

Compiler

Compiled 1481 to 1119 computations (24.4% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (/.f64 1 y))
✓	0.1b	(/.f64 x (+.f64 1 (/.f64 1 y)))

series15.0ms (0.7%)

Counts

1 → 12

Calls

1 calls:

15.0ms

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

rewrite49.0ms (2.3%)

Algorithm

2×	batch-egg-rewrite

Rules

760×	`log1p-expm1-u_binary64`
760×	`expm1-log1p-u_binary64`
129×	`prod-diff_binary64`
76×	`add-sqr-sqrt_binary64`
71×	`add-log-exp_binary64`

Counts

1 → 35

Calls

1 calls:

45.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	153	10
2	1941	10
3	4937	10
0	0	0
1	0	0

simplify64.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

420×	`fma-def_binary64`
398×	`distribute-rgt-out--_binary64`
345×	`distribute-rgt-out_binary64`
287×	`distribute-rgt-neg-in_binary64`
256×	`distribute-lft-neg-in_binary64`

Counts

47 → 48

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	156
1	79	148
2	219	143
3	657	143
4	2365	142
5	4718	142
6	4979	142

prune55.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	88	3	91

Error

Counts

91 → 3

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 x (/.f64 1 (+.f64 1 (/.f64 1 y))))
✓	7.3b	(/.f64 (*.f64 x y) (+.f64 y 1))
✓	0.1b	(/.f64 x (+.f64 1 (/.f64 1 y)))

Compiler

Compiled 1093 to 796 computations (27.2% saved)

regimes107.0ms (5.1%)

Accuracy

Total 0.1b remaining (93.6%)

Threshold costs 0.1b (93.6%)

Counts

31 → 1

Compiler

Compiled 1009 to 681 computations (32.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	12	13
2	11	13

end50.0ms (2.4%)

Compiler: Compiled 51 to 40 computations (21.6% saved)

Details

analyze111.0ms (5.3%)

sample852.0ms (41%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series13.0ms (0.6%)

rewrite47.0ms (2.3%)

simplify72.0ms (3.5%)

prune51.0ms (2.4%)

localize8.0ms (0.4%)

series13.0ms (0.6%)

rewrite92.0ms (4.4%)

simplify82.0ms (3.9%)

prune87.0ms (4.2%)

localize5.0ms (0.3%)

series20.0ms (1%)

rewrite57.0ms (2.8%)

simplify100.0ms (4.8%)

prune108.0ms (5.2%)

localize4.0ms (0.2%)

series15.0ms (0.7%)

rewrite49.0ms (2.3%)

simplify64.0ms (3.1%)

prune55.0ms (2.7%)

regimes107.0ms (5.1%)

simplify2.0ms (0.1%)

end50.0ms (2.4%)

Profiling