Details

analyze101.0ms (5.1%)

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)

sample690.0ms (34.9%)

Results

639.0ms	8218×	body	128	valid
6.0ms	78×	body	128	invalid
4.0ms	17×	body	1024	valid
2.0ms	10×	body	512	valid
2.0ms	6×	body	2048	valid
1.0ms	5×	body	256	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify21.0ms (1.1%)

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))

series4.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

4.0ms

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

rewrite39.0ms (2%)

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:

39.0ms

(*.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

simplify25.0ms (1.2%)

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

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

prune13.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	3	24

Error

0.0b

Counts

24 → 3

Alt Table

Status	Error	Program
	34.2b	(pow.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) 2)
✓	0.0b	(*.f64 500 (-.f64 x y))
▶	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))

Compiler

Compiled 246 to 153 computations (37.8% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

Counts

1 → 6

Calls

1 calls:

4.0ms

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

rewrite48.0ms (2.4%)

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:

47.0ms

(-.f64 (*.f64 500 x) (*.f64 500 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 (0.3%)

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

prune33.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	55	3	58

Error

Counts

58 → 3

Alt Table

Status	Error	Program
	34.2b	(pow.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) 2)
✓	0.0b	(*.f64 500 (-.f64 x y))
▶	30.1b	(+.f64 (.f64 500 (-.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 500 y))) (sqrt.f64 (.f64 500 y)) (.f64 500 y)))

Compiler

Compiled 871 to 558 computations (35.9% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 500 (-.f64 x y))
✓	0.1b	(sqrt.f64 (*.f64 500 y))
✓	32.1b	(fma.f64 (neg.f64 (sqrt.f64 (.f64 500 y))) (sqrt.f64 (.f64 500 y)) (*.f64 500 y))

series25.0ms (1.3%)

Counts

2 → 3

Calls

2 calls:

18.0ms	(fma.f64 (neg.f64 (sqrt.f64 (.f64 500 y))) (sqrt.f64 (.f64 500 y)) (*.f64 500 y))
7.0ms	(sqrt.f64 (*.f64 500 y))

rewrite128.0ms (6.5%)

Algorithm

2×	batch-egg-rewrite

Rules

972×	`log1p-udef_binary64`
513×	`log1p-expm1-u_binary64`
513×	`expm1-log1p-u_binary64`
493×	`prod-diff_binary64`
280×	`egg-rr`

Counts

2 → 280

Calls

2 calls:

120.0ms	(sqrt.f64 (*.f64 500 y))
120.0ms	(fma.f64 (neg.f64 (sqrt.f64 (.f64 500 y))) (sqrt.f64 (.f64 500 y)) (*.f64 500 y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	26
1	144	16
2	1367	14
3	4826	14
4	6446	14
0	0	0
1	0	0

simplify15.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Counts

283 → 281

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
1	5	12
2	5	12

prune287.0ms (14.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	348	0	348
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	348	3	351

Error

Counts

351 → 3

Alt Table

Status	Error	Program
▶	34.2b	(pow.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) 2)
✓	0.0b	(*.f64 500 (-.f64 x y))
✓	30.1b	(+.f64 (.f64 500 (-.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 500 y))) (sqrt.f64 (.f64 500 y)) (.f64 500 y)))

Compiler

Compiled 13388 to 9072 computations (32.2% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 500 (-.f64 x y))
✓	0.0b	(sqrt.f64 (*.f64 500 (-.f64 x y)))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) 2)

series170.0ms (8.6%)

Counts

2 → 16

Calls

2 calls:

140.0ms	(pow.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) 2)
30.0ms	(sqrt.f64 (*.f64 500 (-.f64 x y)))

rewrite50.0ms (2.5%)

Algorithm

2×	batch-egg-rewrite

Rules

798×	`log1p-expm1-u_binary64`
798×	`expm1-log1p-u_binary64`
359×	`prod-diff_binary64`
84×	`add-sqr-sqrt_binary64`
81×	`add-log-exp_binary64`

Counts

2 → 58

Calls

2 calls:

48.0ms	(sqrt.f64 (*.f64 500 (-.f64 x y)))
48.0ms	(pow.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) 2)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	178	16
2	2016	16
3	5463	16
0	0	0
1	0	0

simplify54.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

518×	`fma-neg_binary64`
425×	`distribute-lft-neg-in_binary64`
425×	`distribute-rgt-neg-in_binary64`
260×	`associate-r_binary64`
231×	`unswap-sqr_binary64`

Counts

74 → 78

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	455
1	195	360
2	552	358
3	2526	318
4	4879	318
5	4958	318

prune99.0ms (5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	101	3	104

Error

Counts

104 → 3

Alt Table

Status	Error	Program
✓	34.2b	(pow.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) 2)
✓	0.0b	(*.f64 500 (-.f64 x y))
✓	30.1b	(+.f64 (.f64 500 (-.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 500 y))) (sqrt.f64 (.f64 500 y)) (.f64 500 y)))

Compiler

Compiled 1435 to 947 computations (34% saved)

regimes84.0ms (4.3%)

Accuracy

Total -0.0b remaining (-44.7%)

Threshold costs -0.0b (-44.7%)

Counts

19 → 1

Compiler

Compiled 896 to 690 computations (23% saved)

simplify2.0ms (0.1%)

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

end55.0ms (2.8%)

Compiler: Compiled 54 to 41 computations (24.1% 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

analyze101.0ms (5.1%)

sample690.0ms (34.9%)

simplify21.0ms (1.1%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series4.0ms (0.2%)

rewrite39.0ms (2%)

simplify25.0ms (1.2%)

prune13.0ms (0.6%)

localize4.0ms (0.2%)

series4.0ms (0.2%)

rewrite48.0ms (2.4%)

simplify7.0ms (0.3%)

prune33.0ms (1.7%)

localize9.0ms (0.4%)

series25.0ms (1.3%)

rewrite128.0ms (6.5%)

simplify15.0ms (0.8%)

prune287.0ms (14.5%)

localize5.0ms (0.2%)

series170.0ms (8.6%)

rewrite50.0ms (2.5%)

simplify54.0ms (2.7%)

prune99.0ms (5%)

regimes84.0ms (4.3%)

simplify2.0ms (0.1%)

end55.0ms (2.8%)

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