Details

analyze95.0ms (5.3%)

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
67.1%	32.8%	0.1%	7
71%	28.9%	0.1%	8
82.3%	17.6%	0.1%	9
84.9%	15%	0.1%	10
90.8%	9.1%	0.1%	11
92.2%	7.7%	0.1%	12
95.3%	4.6%	0.1%	13
96%	3.9%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample784.0ms (43.6%)

Results

754.0ms

8256×

body

128

valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	17	10
3	20	10
4	21	10
5	20	10

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

9.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	9.1b	(/.f64 (*.f64 x y) (+.f64 y 1))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.4b	(/.f64 (*.f64 x y) (+.f64 y 1))

series13.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

12.0ms

(/.f64 (*.f64 x y) (+.f64 y 1))

rewrite45.0ms (2.5%)

Algorithm

2×	batch-egg-rewrite

Rules

797×	`log1p-expm1-u_binary64`
797×	`expm1-log1p-u_binary64`
99×	`prod-diff_binary64`
75×	`add-sqr-sqrt_binary64`
70×	`add-log-exp_binary64`

Counts

1 → 46

Calls

1 calls:

43.0ms

(/.f64 (*.f64 x y) (+.f64 y 1))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	150	10
2	1998	10
3	5074	10
0	0	0
1	0	0

simplify68.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

421×	`fma-def_binary64`
398×	`distribute-rgt-out--_binary64`
345×	`distribute-rgt-out_binary64`
287×	`distribute-rgt-neg-in_binary64`
256×	`distribute-lft-neg-in_binary64`

Counts

70 → 61

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	276
1	86	268
2	228	263
3	675	263
4	2403	262
5	4756	262
6	5028	262

prune33.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	4	62

Error

Counts

62 → 4

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 x (/.f64 1 (/.f64 (+.f64 y 1) y)))
	36.1b	(.f64 (+.f64 y (pow.f64 y 3)) (-.f64 x (.f64 y x)))
✓	9.1b	(/.f64 (*.f64 x y) (+.f64 y 1))
	6.4b	(*.f64 (/.f64 x (+.f64 y 1)) y)

Compiler

Compiled 791 to 447 computations (43.5% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (/.f64 1 (/.f64 (+.f64 y 1) y)))
✓	0.1b	(/.f64 1 (/.f64 (+.f64 y 1) y))

series10.0ms (0.6%)

Counts

2 → 36

Calls

2 calls:

8.0ms	(*.f64 x (/.f64 1 (/.f64 (+.f64 y 1) y)))
2.0ms	(/.f64 1 (/.f64 (+.f64 y 1) y))

rewrite56.0ms (3.1%)

Algorithm

2×	batch-egg-rewrite

Rules

892×	`log1p-expm1-u_binary64`
892×	`expm1-log1p-u_binary64`
99×	`prod-diff_binary64`
89×	`add-sqr-sqrt_binary64`
83×	`add-log-exp_binary64`

Counts

2 → 71

Calls

2 calls:

55.0ms	(*.f64 x (/.f64 1 (/.f64 (+.f64 y 1) y)))
55.0ms	(/.f64 1 (/.f64 (+.f64 y 1) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	179	17
2	2289	17
3	5668	17
0	0	0
1	0	0

simplify73.0ms (4%)

Algorithm

1×	egg-herbie

Rules

568×	`fma-def_binary64`
396×	`sub-neg_binary64`
315×	`distribute-rgt-neg-in_binary64`
314×	`neg-mul-1_binary64`
310×	`fma-neg_binary64`

Counts

107 → 99

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	414
1	118	404
2	324	394
3	904	394
4	3096	394
5	4580	394
6	4962	394

prune57.0ms (3.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	100	3	103

Error

Counts

103 → 3

Alt Table

Status	Error	Program
	36.1b	(.f64 (+.f64 y (pow.f64 y 3)) (-.f64 x (.f64 y x)))
✓	9.1b	(/.f64 (*.f64 x y) (+.f64 y 1))
▶	0.1b	(/.f64 x (/.f64 (+.f64 1 y) y))

Compiler

Compiled 1177 to 745 computations (36.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (/.f64 (+.f64 1 y) y))

series8.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(/.f64 x (/.f64 (+.f64 1 y) y))

rewrite51.0ms (2.8%)

Algorithm

2×	batch-egg-rewrite

Rules

867×	`log1p-expm1-u_binary64`
867×	`expm1-log1p-u_binary64`
123×	`prod-diff_binary64`
78×	`add-sqr-sqrt_binary64`
73×	`add-log-exp_binary64`

Counts

1 → 44

Calls

1 calls:

50.0ms

(/.f64 x (/.f64 (+.f64 1 y) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	155	10
2	2166	10
3	5603	10
0	0	0
1	0	0

simplify69.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

421×	`fma-def_binary64`
398×	`distribute-rgt-out--_binary64`
345×	`distribute-rgt-out_binary64`
287×	`distribute-rgt-neg-in_binary64`
256×	`distribute-lft-neg-in_binary64`

Counts

68 → 59

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	276
1	86	268
2	228	263
3	675	263
4	2403	262
5	4756	262
6	5028	262

prune26.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	59	3	62

Error

Counts

62 → 3

Alt Table

Status	Error	Program
▶	36.1b	(.f64 (+.f64 y (pow.f64 y 3)) (-.f64 x (.f64 y x)))
✓	9.1b	(/.f64 (*.f64 x y) (+.f64 y 1))
✓	0.1b	(/.f64 x (/.f64 (+.f64 1 y) y))

Compiler

Compiled 718 to 429 computations (40.3% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 y x))
✓	0.0b	(+.f64 y (pow.f64 y 3))
✓	1.4b	(.f64 (+.f64 y (pow.f64 y 3)) (-.f64 x (.f64 y x)))

series22.0ms (1.2%)

Counts

3 → 45

Calls

3 calls:

13.0ms	(.f64 (+.f64 y (pow.f64 y 3)) (-.f64 x (.f64 y x)))
5.0ms	(+.f64 y (pow.f64 y 3))
4.0ms	(-.f64 x (*.f64 y x))

rewrite76.0ms (4.2%)

Algorithm

2×	batch-egg-rewrite

Rules

516×	`log-prod_binary64`
458×	`fma-def_binary64`
212×	`egg-rr`
203×	`fma-neg_binary64`
184×	`expm1-udef_binary64`

Counts

3 → 212

Calls

3 calls:

71.0ms	(-.f64 x (*.f64 y x))
71.0ms	(+.f64 y (pow.f64 y 3))
71.0ms	(.f64 (+.f64 y (pow.f64 y 3)) (-.f64 x (.f64 y x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	206	30
2	2711	30
3	5235	30
0	0	0
1	0	0

simplify89.0ms (5%)

Algorithm

1×	egg-herbie

Rules

885×	`difference-of-squares_binary64`
449×	`sub-neg_binary64`
431×	`fma-neg_binary64`
392×	`unsub-neg_binary64`
332×	`cancel-sign-sub-inv_binary64`

Counts

257 → 236

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	623
1	123	535
2	337	473
3	981	473
4	2397	473
5	3647	473
6	6027	473

prune107.0ms (6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	236	0	236
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	236	3	239

Error

Counts

239 → 3

Alt Table

Status	Error	Program
✓	36.1b	(.f64 (+.f64 y (pow.f64 y 3)) (-.f64 x (.f64 y x)))
✓	9.1b	(/.f64 (*.f64 x y) (+.f64 y 1))
✓	0.1b	(/.f64 x (/.f64 (+.f64 1 y) y))

Compiler

Compiled 4398 to 1851 computations (57.9% saved)

regimes44.0ms (2.4%)

Accuracy

Total 0.0b remaining (66.2%)

Threshold costs 0.0b (66.2%)

Counts

15 → 1

Compiler

Compiled 393 to 266 computations (32.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	10	10

end46.0ms (2.6%)

Compiler: Compiled 49 to 32 computations (34.7% saved)

Details

analyze95.0ms (5.3%)

sample784.0ms (43.6%)

simplify6.0ms (0.3%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series13.0ms (0.7%)

rewrite45.0ms (2.5%)

simplify68.0ms (3.8%)

prune33.0ms (1.9%)

localize5.0ms (0.3%)

series10.0ms (0.6%)

rewrite56.0ms (3.1%)

simplify73.0ms (4%)

prune57.0ms (3.2%)

localize4.0ms (0.2%)

series8.0ms (0.5%)

rewrite51.0ms (2.8%)

simplify69.0ms (3.8%)

prune26.0ms (1.4%)

localize6.0ms (0.3%)

series22.0ms (1.2%)

rewrite76.0ms (4.2%)

simplify89.0ms (5%)

prune107.0ms (6%)

regimes44.0ms (2.4%)

simplify2.0ms (0.1%)

end46.0ms (2.6%)

Profiling