Details

analyze111.0ms (8.4%)

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
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample903.0ms (68.1%)

Results

824.0ms	8111×	body	128	valid
21.0ms	75×	body	1024	valid
10.0ms	46×	body	512	valid
9.0ms	99×	body	128	invalid
4.0ms	24×	body	256	valid

Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

24×	`fma-def_binary64`
8×	`*-commutative_binary64`
7×	`+-commutative_binary64`
5×	`associate-+r+_binary64`
5×	`distribute-lft-out_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	20	10
2	44	7
3	64	7
4	67	7
5	68	7
6	66	7

prune3.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 d1 (+.f64 d2 30))
	0.2b	(+.f64 (+.f64 (.f64 d1 10) (.f64 d1 d2)) (*.f64 d1 20))

Compiler

Compiled 58 to 40 computations (31% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

series5.0ms (0.4%)

Counts

1 → 20

Calls

1 calls:

5.0ms

(*.f64 d1 (+.f64 d2 30))

rewrite96.0ms (7.3%)

Algorithm

2×	batch-egg-rewrite

Rules

679×	`log1p-expm1-u_binary64`
679×	`expm1-log1p-u_binary64`
209×	`prod-diff_binary64`
173×	`fma-udef_binary64`
123×	`expm1-udef_binary64`

Counts

1 → 49

Calls

1 calls:

95.0ms

(*.f64 d1 (+.f64 d2 30))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	136	7
2	1685	7
3	4941	7
4	4896	7
5	4935	7
0	0	0
1	0	0

simplify9.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-lft-in_binary64`
1×	`distribute-rgt-in_binary64`

Counts

69 → 55

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	131
1	15	131
2	18	131
3	18	131

prune31.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	55	2	57

Error

Counts

57 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 30))
▶	0.0b	(fma.f64 d1 30 (*.f64 d1 d2))

Compiler

Compiled 574 to 309 computations (46.2% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 d1 30 (*.f64 d1 d2))

series5.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

5.0ms

(fma.f64 d1 30 (*.f64 d1 d2))

rewrite38.0ms (2.8%)

Algorithm

2×	batch-egg-rewrite

Rules

511×	`log1p-expm1-u_binary64`
511×	`expm1-log1p-u_binary64`
320×	`unpow-prod-down_binary64`
269×	`log-prod_binary64`
153×	`pow2_binary64`

Counts

1 → 38

Calls

1 calls:

37.0ms

(fma.f64 d1 30 (*.f64 d1 d2))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	120	7
2	1331	7
3	5162	7
0	0	0
1	0	0

simplify9.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-lft-in_binary64`
1×	`distribute-rgt-in_binary64`

Counts

62 → 43

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	159
1	15	159
2	18	159
3	18	159

prune19.0ms (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	43	2	45

Error

Counts

45 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 30))
✓	0.0b	(fma.f64 d1 30 (*.f64 d1 d2))

Compiler

Compiled 484 to 341 computations (29.5% saved)

regimes41.0ms (3.1%)

Accuracy

Total 0.0b remaining (64.7%)

Threshold costs 0.0b (64.7%)

Counts

12 → 1

Compiler

Compiled 359 to 245 computations (31.8% saved)

simplify2.0ms (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
2	7	8

end40.0ms (3%)

Compiler: Compiled 31 to 20 computations (35.5% saved)

Details

analyze111.0ms (8.4%)

sample903.0ms (68.1%)

simplify7.0ms (0.5%)

prune3.0ms (0.2%)

localize3.0ms (0.2%)

series5.0ms (0.4%)

rewrite96.0ms (7.3%)

simplify9.0ms (0.7%)

prune31.0ms (2.3%)

localize4.0ms (0.3%)

series5.0ms (0.4%)

rewrite38.0ms (2.8%)

simplify9.0ms (0.7%)

prune19.0ms (1.5%)

regimes41.0ms (3.1%)

simplify2.0ms (0.1%)

end40.0ms (3%)

Profiling