Details

analyze119.0ms (3.7%)

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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
46.8%	53.1%	0.1%	6
78%	21.9%	0.1%	7
82.7%	17.2%	0.1%	8
89%	10.9%	0.1%	9
91.3%	8.6%	0.1%	10
94.4%	5.5%	0.1%	11
95.6%	4.3%	0.1%	12
97.2%	2.7%	0.1%	13
97.8%	2.1%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample30.0ms (0.9%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify13.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms (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 (+.f64 x y) (+.f64 y 1))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series18.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

18.0ms

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

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64`
16×	`times-frac_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
10×	`distribute-lft-out_binary64`

Counts

1 → 42

Calls

1 calls:

11.0ms

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

simplify120.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

944×	`fma-neg_binary64`
615×	`cancel-sign-sub-inv_binary64`
443×	`times-frac_binary64`
384×	`distribute-rgt-in_binary64`
346×	`sub-neg_binary64`

Counts

66 → 78

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	1149
1	280	1098
2	790	1091
3	2547	1089
4	4174	1089
5	5065	1089

prune108.0ms (3.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	3	79

Error

Counts

79 → 3

Alt Table

Status	Error	Program
	0.2b	(/.f64 1 (/.f64 (+.f64 y 1) (+.f64 x y)))
	31.1b	(-.f64 (fma.f64 x (fma.f64 y y 1) y) (*.f64 y (+.f64 y x)))
▶	0.0b	(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))

Compiler

Compiled 1245 to 666 computations (46.5% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series28.0ms (0.9%)

Counts

2 → 24

Calls

2 calls:

23.0ms	(/.f64 x (+.f64 1 y))
4.0ms	(/.f64 y (+.f64 1 y))

rewrite23.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64`
24×	`times-frac_binary64`
20×	`add-sqr-sqrt_binary64`
20×	`add-cube-cbrt_binary64`
8×	`associate-/r*_binary64`

Counts

2 → 70

Calls

2 calls:

7.0ms	(/.f64 y (+.f64 1 y))
7.0ms	(/.f64 x (+.f64 1 y))

simplify155.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

869×	`fma-neg_binary64`
821×	`fma-def_binary64`
419×	`associate-/l/_binary64`
397×	`cancel-sign-sub-inv_binary64`
226×	`associate-/r/_binary64`

Counts

94 → 138

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	134	1256
1	286	1187
2	698	1179
3	1755	1176
4	4224	1172
5	4964	1172
6	4945	1172

prune172.0ms (5.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	138	3	141

Error

Counts

141 → 3

Alt Table

Status	Error	Program
▶	0.2b	(/.f64 1 (/.f64 (+.f64 y 1) (+.f64 x y)))
	31.1b	(-.f64 (fma.f64 x (fma.f64 y y 1) y) (*.f64 y (+.f64 y x)))
✓	0.0b	(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))

Compiler

Compiled 2504 to 1599 computations (36.1% saved)

localize14.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

series44.0ms (1.4%)

Counts

2 → 48

Calls

2 calls:

29.0ms	(/.f64 (+.f64 y 1) (+.f64 x y))
15.0ms	(/.f64 1 (/.f64 (+.f64 y 1) (+.f64 x y)))

rewrite62.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

155×	`*-un-lft-identity_binary64`
146×	`times-frac_binary64`
71×	`add-sqr-sqrt_binary64`
71×	`add-cube-cbrt_binary64`
42×	`distribute-lft-out_binary64`

Counts

2 → 156

Calls

2 calls:

20.0ms	(/.f64 1 (/.f64 (+.f64 y 1) (+.f64 x y)))
11.0ms	(/.f64 (+.f64 y 1) (+.f64 x y))

simplify304.0ms (9.5%)

Algorithm

1×	egg-herbie

Rules

639×	`fma-def_binary64`
538×	`fma-neg_binary64`
483×	`times-frac_binary64`
277×	`associate-/l*_binary64`
262×	`sub-neg_binary64`

Counts

204 → 210

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	218	4494
1	544	4118
2	1815	3992
3	4441	3986
4	4729	3986
5	4948	3986

prune238.0ms (7.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	210	3	213

Error

Counts

213 → 3

Alt Table

Status	Error	Program
✓	0.2b	(/.f64 1 (/.f64 (+.f64 y 1) (+.f64 x y)))
▶	31.1b	(-.f64 (fma.f64 x (fma.f64 y y 1) y) (*.f64 y (+.f64 y x)))
✓	0.0b	(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))

Compiler

Compiled 4177 to 2412 computations (42.3% saved)

localize15.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (+.f64 y x))
✓	2.6b	(fma.f64 x (fma.f64 y y 1) y)
✓	8.2b	(-.f64 (fma.f64 x (fma.f64 y y 1) y) (*.f64 y (+.f64 y x)))

series45.0ms (1.4%)

Counts

3 → 72

Calls

3 calls:

20.0ms	(-.f64 (fma.f64 x (fma.f64 y y 1) y) (*.f64 y (+.f64 y x)))
16.0ms	(fma.f64 x (fma.f64 y y 1) y)
9.0ms	(*.f64 y (+.f64 y x))

rewrite19.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`
5×	`add-cbrt-cube_binary64`
5×	`add-exp-log_binary64`

Counts

3 → 58

Calls

3 calls:

9.0ms	(*.f64 y (+.f64 y x))
5.0ms	(-.f64 (fma.f64 x (fma.f64 y y 1) y) (*.f64 y (+.f64 y x)))
1.0ms	(fma.f64 x (fma.f64 y y 1) y)

simplify142.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

672×	`distribute-rgt-in_binary64`
645×	`distribute-lft-in_binary64`
618×	`fma-def_binary64`
598×	`fma-neg_binary64`
236×	`associate-+l+_binary64`

Counts

130 → 101

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	1640
1	281	1571
2	992	1538
3	4809	1538
4	5260	1538

prune101.0ms (3.1%)

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
✓	0.2b	(/.f64 1 (/.f64 (+.f64 y 1) (+.f64 x y)))
✓	31.1b	(-.f64 (fma.f64 x (fma.f64 y y 1) y) (*.f64 y (+.f64 y x)))
✓	0.0b	(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))

Compiler

Compiled 1883 to 722 computations (61.7% saved)

regimes376.0ms (11.7%)

Accuracy

Total 0.0b remaining (65.5%)

Threshold costs 0.0b (65.5%)

Counts

65 → 1

Compiler

Compiled 2220 to 1523 computations (31.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	12	16
2	11	16

end1.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

sample1.0s (31.8%)

Algorithm

1×

intervals

Results

446.0ms	7999×	body	128	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 64 to 43 computations (32.8% saved)

Details

analyze119.0ms (3.7%)

sample30.0ms (0.9%)

simplify13.0ms (0.4%)

prune3.0ms (0.1%)

localize9.0ms (0.3%)

series18.0ms (0.6%)

rewrite16.0ms (0.5%)

simplify120.0ms (3.7%)

prune108.0ms (3.4%)

localize11.0ms (0.3%)

series28.0ms (0.9%)

rewrite23.0ms (0.7%)

simplify155.0ms (4.8%)

prune172.0ms (5.4%)

localize14.0ms (0.4%)

series44.0ms (1.4%)

rewrite62.0ms (1.9%)

simplify304.0ms (9.5%)

prune238.0ms (7.4%)

localize15.0ms (0.5%)

series45.0ms (1.4%)

rewrite19.0ms (0.6%)

simplify142.0ms (4.4%)

prune101.0ms (3.1%)

regimes376.0ms (11.7%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.0s (31.8%)

Profiling