Details

analyze119.0ms (10.4%)

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 8 to 5 computations (37.5% saved)

sample754.0ms (65.8%)

Results

710.0ms	8256×	body	128	valid
5.0ms	69×	body	128	invalid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify16.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

123×	`fma-def_binary64`
78×	`fma-neg_binary64`
28×	`cancel-sign-sub-inv_binary64`
16×	`distribute-rgt-neg-in_binary64`
16×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	15	7
3	26	7
4	40	7
5	62	7
6	127	7
7	198	7
8	229	7
9	259	7
10	261	7
11	226	7

prune1.0ms (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

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (*.f64 x y) x)

Compiler

Compiled 21 to 12 computations (42.9% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x y) x)

series4.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

4.0ms

(-.f64 (*.f64 x y) x)

rewrite47.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`prod-diff_binary64`
584×	`log1p-expm1-u_binary64`
584×	`expm1-log1p-u_binary64`
106×	`expm1-udef_binary64`
106×	`log1p-udef_binary64`

Counts

1 → 93

Calls

1 calls:

45.0ms

(-.f64 (*.f64 x y) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	7
2	1460	7
3	5031	7

simplify23.0ms (2%)

Algorithm

1×	egg-herbie

Rules

74×	`fma-def_binary64`
56×	`fma-neg_binary64`
18×	`distribute-rgt-in_binary64`
15×	`associate-r_binary64`
13×	`associate--r+_binary64`

Counts

117 → 99

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	158
1	30	158
2	55	158
3	96	158
4	163	158
5	225	158
6	255	158
7	259	158
8	224	158

prune35.0ms (3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	98	2	100

Error

Counts

100 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (*.f64 x y) x)
▶	0.0b	(*.f64 (-.f64 y 1) x)

Compiler

Compiled 1442 to 332 computations (77% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 y 1) x)

series5.0ms (0.5%)

Counts

1 → 12

Calls

1 calls:

5.0ms

(*.f64 (-.f64 y 1) x)

rewrite41.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`log1p-expm1-u_binary64`
555×	`expm1-log1p-u_binary64`
378×	`unpow-prod-down_binary64`
267×	`log-prod_binary64`
150×	`pow2_binary64`

Counts

1 → 26

Calls

1 calls:

41.0ms

(*.f64 (-.f64 y 1) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	124	7
2	1412	7
3	5373	7

simplify15.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

123×	`fma-def_binary64`
78×	`fma-neg_binary64`
28×	`cancel-sign-sub-inv_binary64`
16×	`distribute-rgt-neg-in_binary64`
16×	`sub-neg_binary64`

Counts

38 → 32

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	74
1	12	74
2	18	74
3	27	74
4	40	74
5	62	74
6	127	74
7	198	74
8	229	74
9	259	74
10	261	74
11	226	74

prune16.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	32	2	34

Error

Counts

34 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (*.f64 x y) x)
✓	0.0b	(*.f64 (-.f64 y 1) x)

Compiler

Compiled 271 to 180 computations (33.6% saved)

regimes24.0ms (2.1%)

Accuracy

Total 0.0b remaining (93.1%)

Threshold costs 0.0b (93.1%)

Counts

6 → 1

Compiler

Compiled 125 to 82 computations (34.4% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	13	7
3	11	7

end38.0ms (3.3%)

Compiler: Compiled 28 to 19 computations (32.1% saved)

Iter	Nodes	Cost
0	7	74
1	12	74
2	18	74
3	27	74
4	40	74
5	62	74
6	127	74
7	198	74
8	229	74
9	259	74
10	261	74
11	226	74

Iter	Nodes	Cost
0	7	74
1	12	74
2	18	74
3	27	74
4	40	74
5	62	74
6	127	74
7	198	74
8	229	74
9	259	74
10	261	74
11	226	74

Details

analyze119.0ms (10.4%)

sample754.0ms (65.8%)

simplify16.0ms (1.4%)

prune1.0ms (0.1%)

localize3.0ms (0.3%)

series4.0ms (0.3%)

rewrite47.0ms (4.1%)

simplify23.0ms (2%)

prune35.0ms (3%)

localize3.0ms (0.3%)

series5.0ms (0.5%)

rewrite41.0ms (3.6%)

simplify15.0ms (1.3%)

prune16.0ms (1.4%)

regimes24.0ms (2.1%)

simplify2.0ms (0.2%)

end38.0ms (3.3%)

Profiling

Iter	Nodes	Cost
0	7	74
1	12	74
2	18	74
3	27	74
4	40	74
5	62	74
6	127	74
7	198	74
8	229	74
9	259	74
10	261	74
11	226	74