Details

analyze102.0ms (5.8%)

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)

sample767.0ms (43.4%)

Results

677.0ms	8123×	body	128	valid
17.0ms	49×	body	1024	valid
11.0ms	36×	body	2048	valid
6.0ms	71×	body	128	invalid
6.0ms	32×	body	512	valid
2.0ms	16×	body	256	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify15.0ms (0.9%)

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 200 (-.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 200 (-.f64 x y))

series3.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

3.0ms

(*.f64 200 (-.f64 x y))

rewrite44.0ms (2.5%)

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 → 19

Calls

1 calls:

43.0ms

(*.f64 200 (-.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

simplify25.0ms (1.4%)

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

43 → 23

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

prune18.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	20	3	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	4	24

Error

0.0b

Counts

24 → 4

Alt Table

Status	Error	Program
	49.6b	(sqrt.f64 (*.f64 40000 (pow.f64 (-.f64 x y) 2)))
	35.7b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 200) (+.f64 x y))
✓	0.0b	(*.f64 200 (-.f64 x y))
▶	0.0b	(-.f64 (.f64 200 x) (.f64 200 y))

Compiler

Compiled 276 to 171 computations (38% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 200 x) (.f64 200 y))

series4.0ms (0.2%)

Counts

1 → 6

Calls

1 calls:

4.0ms

(-.f64 (*.f64 200 x) (*.f64 200 y))

rewrite52.0ms (2.9%)

Algorithm

2×	batch-egg-rewrite

Rules

811×	`log1p-expm1-u_binary64`
811×	`expm1-log1p-u_binary64`
146×	`log1p-udef_binary64`
82×	`add-sqr-sqrt_binary64`
77×	`add-log-exp_binary64`

Counts

1 → 53

Calls

1 calls:

50.0ms

(-.f64 (*.f64 200 x) (*.f64 200 y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	161	7
2	2044	7
3	5127	7
0	0	0
1	0	0

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Counts

59 → 55

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	9	24
2	9	24

prune30.0ms (1.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	2	0	2
Picked	1	0	1
Done	1	0	1
Total	57	2	59

Error

Counts

59 → 2

Alt Table

Status	Error	Program
	0.2b	(fma.f64 200 (-.f64 x y) (fma.f64 (neg.f64 y) 200 (*.f64 200 y)))
▶	0.0b	(fma.f64 200 x (*.f64 y -200))

Compiler

Compiled 846 to 537 computations (36.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 200 x (*.f64 y -200))

series4.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

4.0ms

(fma.f64 200 x (*.f64 y -200))

rewrite86.0ms (4.9%)

Algorithm

2×	batch-egg-rewrite

Rules

560×	`log1p-expm1-u_binary64`
560×	`expm1-log1p-u_binary64`
280×	`log-prod_binary64`
170×	`pow2_binary64`
120×	`expm1-udef_binary64`

Counts

1 → 29

Calls

1 calls:

84.0ms

(fma.f64 200 x (*.f64 y -200))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	140	8
2	1460	8
3	4989	8
4	4923	8
0	0	0
1	0	0

simplify51.0ms (2.9%)

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

53 → 33

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

prune43.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	33	2	35

Error

Counts

35 → 2

Alt Table

Status	Error	Program
▶	0.2b	(fma.f64 200 (-.f64 x y) (fma.f64 (neg.f64 y) 200 (*.f64 200 y)))
✓	0.0b	(fma.f64 200 x (*.f64 y -200))

Compiler

Compiled 392 to 299 computations (23.7% saved)

localize14.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 200 (-.f64 x y) (fma.f64 (neg.f64 y) 200 (*.f64 200 y)))
✓	58.8b	(fma.f64 (neg.f64 y) 200 (*.f64 200 y))

series15.0ms (0.9%)

Counts

2 → 36

Calls

2 calls:

10.0ms	(fma.f64 200 (-.f64 x y) (fma.f64 (neg.f64 y) 200 (*.f64 200 y)))
5.0ms	(fma.f64 (neg.f64 y) 200 (*.f64 200 y))

rewrite99.0ms (5.6%)

Algorithm

2×	batch-egg-rewrite

Rules

825×	`expm1-log1p-u_binary64`
744×	`prod-diff_binary64`
100×	`add-sqr-sqrt_binary64`
95×	`log1p-expm1-u_binary64`
92×	`add-cbrt-cube_binary64`

Counts

2 → 46

Calls

2 calls:

96.0ms	(fma.f64 200 (-.f64 x y) (fma.f64 (neg.f64 y) 200 (*.f64 200 y)))
96.0ms	(fma.f64 (neg.f64 y) 200 (*.f64 200 y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	195	21
2	2107	21
3	4921	21
0	0	0
1	0	0

simplify57.0ms (3.2%)

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

82 → 51

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	162
1	20	162
2	29	162
3	44	162
4	69	162
5	101	162
6	168	162
7	223	162
8	272	162
9	280	162
10	298	162
11	304	162
12	276	162

prune63.0ms (3.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	51	2	53

Error

Counts

53 → 2

Alt Table

Status	Error	Program
✓	0.2b	(fma.f64 200 (-.f64 x y) (fma.f64 (neg.f64 y) 200 (*.f64 200 y)))
✓	0.0b	(fma.f64 200 x (*.f64 y -200))

Compiler

Compiled 769 to 420 computations (45.4% saved)

regimes164.0ms (9.3%)

Accuracy

Total 0.0b remaining (87.6%)

Threshold costs 0.0b (87.6%)

Counts

14 → 1

Compiler

Compiled 692 to 510 computations (26.3% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
2	8	8

end90.0ms (5.1%)

Compiler: Compiled 38 to 28 computations (26.3% 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	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	10	162
1	20	162
2	29	162
3	44	162
4	69	162
5	101	162
6	168	162
7	223	162
8	272	162
9	280	162
10	298	162
11	304	162
12	276	162

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	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	10	162
1	20	162
2	29	162
3	44	162
4	69	162
5	101	162
6	168	162
7	223	162
8	272	162
9	280	162
10	298	162
11	304	162
12	276	162

Details

analyze102.0ms (5.8%)

sample767.0ms (43.4%)

simplify15.0ms (0.9%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series3.0ms (0.2%)

rewrite44.0ms (2.5%)

simplify25.0ms (1.4%)

prune18.0ms (1%)

localize4.0ms (0.2%)

series4.0ms (0.2%)

rewrite52.0ms (2.9%)

simplify7.0ms (0.4%)

prune30.0ms (1.7%)

localize4.0ms (0.2%)

series4.0ms (0.2%)

rewrite86.0ms (4.9%)

simplify51.0ms (2.9%)

prune43.0ms (2.5%)

localize14.0ms (0.8%)

series15.0ms (0.9%)

rewrite99.0ms (5.6%)

simplify57.0ms (3.2%)

prune63.0ms (3.5%)

regimes164.0ms (9.3%)

simplify5.0ms (0.3%)

end90.0ms (5.1%)

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

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	10	162
1	20	162
2	29	162
3	44	162
4	69	162
5	101	162
6	168	162
7	223	162
8	272	162
9	280	162
10	298	162
11	304	162
12	276	162