Details

analyze173.0ms (7.9%)

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
12.5%	87.4%	0.1%	5
31.2%	68.7%	0.1%	6
46.8%	53.1%	0.1%	7
60.9%	39%	0.1%	8
67.9%	31.2%	0.9%	9
74.5%	22.2%	3.2%	10
77.9%	17.2%	5%	11
81.1%	11.8%	7.1%	12
82.7%	9%	8.3%	13
84.3%	6.1%	9.7%	14

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample912.0ms (41.5%)

Results

817.0ms	8256×	body	128	valid
28.0ms	301×	body	128	invalid

Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify39.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

971×	`fma-def_binary64`
587×	`distribute-rgt-in_binary64`
569×	`distribute-lft-in_binary64`
406×	`unswap-sqr_binary64`
398×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	22	14
2	36	14
3	81	14
4	143	14
5	287	14
6	742	14
7	1081	14
8	1605	14
9	1832	14
10	2262	14
11	2926	14
12	3255	14
13	3794	14

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

7.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	7.8b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

Compiler

Compiled 49 to 31 computations (36.7% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (+.f64 (/.f64 x y) 1))
✓	7.3b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

series18.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

12.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
6.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))

rewrite54.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

475×	`prod-diff_binary64`
271×	`fma-def_binary64`
207×	`fma-neg_binary64`
185×	`log1p-udef_binary64`
183×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	209	22
2	3174	22

Stop Event

1×	node limit

Counts

2 → 93

Calls

2 calls:

53.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))
53.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

simplify30.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

828×	`fma-def_binary64`
530×	`associate-+l-_binary64`
372×	`cancel-sign-sub-inv_binary64`
348×	`associate--r+_binary64`
317×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	711
1	131	707
2	420	649
3	1743	585

Stop Event

1×	node limit

Counts

141 → 116

prune88.0ms (4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	110	6	116
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	111	6	117

Error

0.0b

Counts

117 → 6

Alt Table

Status	Error	Program
	37.6b	(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x y)) x) (+.f64 x 1))
	11.3b	(+.f64 (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)) (/.f64 x (+.f64 1 x)))
	0.1b	(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))))
	13.1b	(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) x) (+.f64 (/.f64 x y) -1)) (+.f64 x 1))
	13.3b	(/.f64 (fma.f64 (*.f64 x x) (/.f64 1 y) x) (+.f64 x 1))
▶	0.1b	(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1))

Compiler

Compiled 2006 to 962 computations (52% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series12.0ms (0.6%)

Counts

2 → 36

Calls

2 calls:

10.0ms	(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1))
2.0ms	(/.f64 x (+.f64 x 1))

rewrite54.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

778×	`prod-diff_binary64`
183×	`log1p-udef_binary64`
106×	`add-sqr-sqrt_binary64`
102×	`log1p-expm1-u_binary64`
102×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	209	23
2	3193	23

Stop Event

1×	node limit

Counts

2 → 86

Calls

2 calls:

52.0ms	(/.f64 x (+.f64 x 1))
52.0ms	(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) 1))

simplify31.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

608×	`associate-+l-_binary64`
485×	`cancel-sign-sub-inv_binary64`
382×	`sub-neg_binary64`
366×	`associate--r+_binary64`
296×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	645
1	162	639
2	515	574
3	2015	566

Stop Event

1×	node limit

Counts

122 → 119

prune82.0ms (3.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	4	1	5
Picked	1	0	1
Done	0	0	0
Total	122	3	125

Error

Counts

125 → 3

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))))
	0.2b	(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 x 1) x))
	7.8b	(/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1))

Compiler

Compiled 2088 to 1242 computations (40.5% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series31.0ms (1.4%)

Counts

3 → 72

Calls

3 calls:

12.0ms	(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))))
10.0ms	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))
8.0ms	(/.f64 1 (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))

rewrite58.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

349×	`prod-diff_binary64`
246×	`fma-def_binary64`
202×	`log1p-udef_binary64`
200×	`expm1-udef_binary64`
182×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	233	42
2	3430	42

Stop Event

1×	node limit

Counts

3 → 115

Calls

3 calls:

56.0ms	(/.f64 1 (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
56.0ms	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))
56.0ms	(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))))

simplify40.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

896×	`associate--l+_binary64`
567×	`associate--r+_binary64`
300×	`fma-def_binary64`
297×	`sub-neg_binary64`
129×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	1797
1	383	1789
2	1398	1650

Stop Event

1×	node limit

Counts

187 → 185

prune118.0ms (5.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	185	3	188

Error

Counts

188 → 3

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))))
▶	0.2b	(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 x 1) x))
	7.8b	(/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1))

Compiler

Compiled 3575 to 2147 computations (39.9% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x 1) x)
✓	0.2b	(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 x 1) x))

series12.0ms (0.5%)

Counts

2 → 36

Calls

2 calls:

10.0ms	(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 x 1) x))
1.0ms	(/.f64 (+.f64 x 1) x)

rewrite50.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

418×	`prod-diff_binary64`
293×	`fma-def_binary64`
188×	`log1p-udef_binary64`
187×	`expm1-udef_binary64`
170×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	210	23
2	3221	23

Stop Event

1×	node limit

Counts

2 → 76

Calls

2 calls:

49.0ms	(/.f64 (+.f64 x 1) x)
48.0ms	(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 x 1) x))

simplify28.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

828×	`fma-def_binary64`
530×	`associate-+l-_binary64`
372×	`cancel-sign-sub-inv_binary64`
347×	`associate--r+_binary64`
317×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	576
1	133	572
2	422	514
3	1748	486

Stop Event

1×	node limit

Counts

112 → 99

prune66.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Error

Counts

102 → 3

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))))
✓	0.2b	(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 x 1) x))
	7.8b	(/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1))

Compiler

Compiled 1628 to 980 computations (39.8% saved)

regimes221.0ms (10%)

Accuracy

Total 0.1b remaining (77.2%)

Threshold costs 0.1b (77.2%)

Counts

78 → 1

Compiler

Compiled 3179 to 2078 computations (34.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	13	16

Stop Event

1×

saturated

end51.0ms (2.3%)

Compiler: Compiled 67 to 46 computations (31.3% saved)

Details

analyze173.0ms (7.9%)

sample912.0ms (41.5%)

simplify39.0ms (1.8%)

prune3.0ms (0.1%)

localize6.0ms (0.3%)

series18.0ms (0.8%)

rewrite54.0ms (2.5%)

simplify30.0ms (1.4%)

prune88.0ms (4%)

localize6.0ms (0.3%)

series12.0ms (0.6%)

rewrite54.0ms (2.5%)

simplify31.0ms (1.4%)

prune82.0ms (3.7%)

localize7.0ms (0.3%)

series31.0ms (1.4%)

rewrite58.0ms (2.7%)

simplify40.0ms (1.8%)

prune118.0ms (5.4%)

localize6.0ms (0.3%)

series12.0ms (0.5%)

rewrite50.0ms (2.3%)

simplify28.0ms (1.3%)

prune66.0ms (3%)

regimes221.0ms (10%)

simplify2.0ms (0.1%)

end51.0ms (2.3%)

Profiling