Details

analyze96.0ms (8%)

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
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample675.0ms (56%)

Results

628.0ms	8231×	body	128	valid
5.0ms	63×	body	128	invalid
3.0ms	12×	body	1024	valid
2.0ms	7×	body	2048	valid
0.0ms	3×	body	512	valid
0.0ms	3×	body	256	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify16.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

113×	`fma-def_binary64`
83×	`fma-neg_binary64`
32×	`distribute-rgt-in_binary64`
26×	`cancel-sign-sub-inv_binary64`
19×	`distribute-lft-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	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 500 (-.f64 x y))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 500 (-.f64 x y))

series3.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

3.0ms

(*.f64 500 (-.f64 x y))

rewrite38.0ms (3.1%)

Algorithm

2×	batch-egg-rewrite

Rules

657×	`log1p-expm1-u_binary64`
657×	`expm1-log1p-u_binary64`
359×	`prod-diff_binary64`
121×	`expm1-udef_binary64`
121×	`log1p-udef_binary64`

Counts

1 → 20

Calls

1 calls:

37.0ms

(*.f64 500 (-.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1632	7
3	5032	7
0	0	0
1	0	0

simplify24.0ms (2%)

Algorithm

1×	egg-herbie

Rules

141×	`fma-def_binary64`
102×	`fma-neg_binary64`
47×	`cancel-sign-sub-inv_binary64`
25×	`sub-neg_binary64`
21×	`distribute-rgt-neg-in_binary64`

Counts

44 → 24

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	150
1	19	150
2	29	150
3	44	150
4	69	150
5	101	150
6	168	150
7	223	150
8	272	150
9	280	150
10	298	150
11	304	150
12	276	150

prune12.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	2	25

Error

Counts

25 → 2

Alt Table

Status	Error	Program
	48.5b	(sqrt.f64 (*.f64 250000 (pow.f64 (-.f64 x y) 2)))
▶	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))

Compiler

Compiled 244 to 150 computations (38.5% saved)

localize6.0ms (0.5%)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

Counts

2 → 2

Alt Table

Status	Error	Program
▶	48.5b	(sqrt.f64 (*.f64 250000 (pow.f64 (-.f64 x y) 2)))
✓	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))

Compiler

Compiled 29 to 23 computations (20.7% saved)

localize5.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (-.f64 x y) 2)
✓	0.2b	(*.f64 250000 (pow.f64 (-.f64 x y) 2))
✓	32.5b	(sqrt.f64 (*.f64 250000 (pow.f64 (-.f64 x y) 2)))

series17.0ms (1.4%)

Counts

3 → 72

Calls

3 calls:

7.0ms	(*.f64 250000 (pow.f64 (-.f64 x y) 2))
7.0ms	(pow.f64 (-.f64 x y) 2)
4.0ms	(sqrt.f64 (*.f64 250000 (pow.f64 (-.f64 x y) 2)))

rewrite52.0ms (4.3%)

Algorithm

2×	batch-egg-rewrite

Rules

845×	`log1p-expm1-u_binary64`
845×	`expm1-log1p-u_binary64`
359×	`prod-diff_binary64`
90×	`add-sqr-sqrt_binary64`
88×	`add-log-exp_binary64`

Counts

3 → 71

Calls

3 calls:

51.0ms	(pow.f64 (-.f64 x y) 2)
51.0ms	(*.f64 250000 (pow.f64 (-.f64 x y) 2))
51.0ms	(sqrt.f64 (*.f64 250000 (pow.f64 (-.f64 x y) 2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	195	24
2	2155	24
3	5749	24
0	0	0
1	0	0

simplify81.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

954×	`fma-neg_binary64`
510×	`distribute-rgt-neg-in_binary64`
480×	`cancel-sign-sub-inv_binary64`
405×	`distribute-lft-neg-in_binary64`
375×	`*-commutative_binary64`

Counts

143 → 98

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	882
1	91	747
2	180	738
3	495	690
4	1464	690
5	2538	690
6	4720	690
7	5001	690

prune52.0ms (4.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

100 → 2

Alt Table

Status	Error	Program
✓	48.5b	(sqrt.f64 (*.f64 250000 (pow.f64 (-.f64 x y) 2)))
✓	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))

Compiler

Compiled 1122 to 658 computations (41.4% saved)

regimes58.0ms (4.8%)

Accuracy

Total 0.0b remaining (16.7%)

Threshold costs 0.0b (16.7%)

Counts

12 → 1

Compiler

Compiled 438 to 334 computations (23.7% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
3×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`distribute-lft-neg-in_binary64`
2×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	23	10
3	27	10
4	30	10
5	31	10
6	30	10

end63.0ms (5.3%)

Compiler: Compiled 37 to 29 computations (21.6% saved)

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	7

Iter	Nodes	Cost
0	9	150
1	19	150
2	29	150
3	44	150
4	69	150
5	101	150
6	168	150
7	223	150
8	272	150
9	280	150
10	298	150
11	304	150
12	276	150

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	7

Iter	Nodes	Cost
0	9	150
1	19	150
2	29	150
3	44	150
4	69	150
5	101	150
6	168	150
7	223	150
8	272	150
9	280	150
10	298	150
11	304	150
12	276	150

Details

analyze96.0ms (8%)

sample675.0ms (56%)

simplify16.0ms (1.3%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series3.0ms (0.3%)

rewrite38.0ms (3.1%)

simplify24.0ms (2%)

prune12.0ms (1%)

localize6.0ms (0.5%)

prune2.0ms (0.1%)

localize5.0ms (0.4%)

series17.0ms (1.4%)

rewrite52.0ms (4.3%)

simplify81.0ms (6.7%)

prune52.0ms (4.3%)

regimes58.0ms (4.8%)

simplify2.0ms (0.2%)

end63.0ms (5.3%)

Profiling

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	7

Iter	Nodes	Cost
0	9	150
1	19	150
2	29	150
3	44	150
4	69	150
5	101	150
6	168	150
7	223	150
8	272	150
9	280	150
10	298	150
11	304	150
12	276	150