Details

analyze99.0ms (4.6%)

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)

sample922.0ms (42.8%)

Results

888.0ms

8256×

body

128

valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify7.0ms (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

7.6b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	7.6b	(/.f64 (*.f64 x y) (+.f64 y 1))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.1b	(/.f64 (*.f64 x y) (+.f64 y 1))

series11.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

10.0ms

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

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
4×	`associate-/r*_binary64`
4×	`times-frac_binary64`

Counts

1 → 27

Calls

1 calls:

7.0ms

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

simplify67.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

713×	`fma-neg_binary64`
694×	`times-frac_binary64`
647×	`fma-def_binary64`
447×	`associate-/l*_binary64`
224×	`cancel-sign-sub-inv_binary64`

Counts

51 → 54

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	672
1	217	596
2	717	591
3	3018	590
4	4493	590
5	5048	590

prune36.0ms (1.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	3	55

Error

Counts

55 → 3

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 x (/.f64 y (+.f64 y 1)))
	30.5b	(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
	7.6b	(.f64 (.f64 x y) (/.f64 1 (+.f64 y 1)))

Compiler

Compiled 738 to 416 computations (43.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series17.0ms (0.8%)

Counts

2 → 36

Calls

2 calls:

14.0ms	(*.f64 x (/.f64 y (+.f64 y 1)))
2.0ms	(/.f64 y (+.f64 y 1))

rewrite16.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
25×	`times-frac_binary64`
25×	`add-sqr-sqrt_binary64`
20×	`add-cube-cbrt_binary64`
18×	`associate-r_binary64`

Counts

2 → 74

Calls

2 calls:

7.0ms	(*.f64 x (/.f64 y (+.f64 y 1)))
5.0ms	(/.f64 y (+.f64 y 1))

simplify112.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

946×	`fma-neg_binary64`
514×	`cancel-sign-sub-inv_binary64`
333×	`times-frac_binary64`
302×	`associate-l_binary64`
283×	`associate-/l*_binary64`

Counts

110 → 120

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1434
1	318	1324
2	1027	1314
3	3151	1314
4	4198	1314
5	4868	1314
6	5013	1314

prune68.0ms (3.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	120	3	123

Error

Counts

123 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 x (/.f64 y (+.f64 y 1)))
	30.5b	(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
▶	7.6b	(.f64 (.f64 x y) (/.f64 1 (+.f64 y 1)))

Compiler

Compiled 1638 to 969 computations (40.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 y 1))
✓	7.1b	(.f64 (.f64 x y) (/.f64 1 (+.f64 y 1)))

series15.0ms (0.7%)

Counts

2 → 36

Calls

2 calls:

12.0ms	(.f64 (.f64 x y) (/.f64 1 (+.f64 y 1)))
2.0ms	(/.f64 1 (+.f64 y 1))

rewrite20.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`*-un-lft-identity_binary64`
28×	`add-exp-log_binary64`
24×	`times-frac_binary64`
19×	`add-sqr-sqrt_binary64`
19×	`add-cube-cbrt_binary64`

Counts

2 → 84

Calls

2 calls:

11.0ms	(.f64 (.f64 x y) (/.f64 1 (+.f64 y 1)))
4.0ms	(/.f64 1 (+.f64 y 1))

simplify104.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

881×	`fma-neg_binary64`
658×	`fma-def_binary64`
376×	`times-frac_binary64`
220×	`associate-/l*_binary64`
195×	`cancel-sign-sub-inv_binary64`

Counts

120 → 130

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1463
1	306	1290
2	953	1285
3	2611	1283
4	4501	1283
5	5037	1283

prune74.0ms (3.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	130	3	133

Error

Counts

133 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 x (/.f64 y (+.f64 y 1)))
▶	30.5b	(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
✓	7.6b	(.f64 (.f64 x y) (/.f64 1 (+.f64 y 1)))

Compiler

Compiled 1990 to 1263 computations (36.5% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 x (pow.f64 y 2)) x)
✓	2.7b	(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
✓	7.6b	(/.f64 x (pow.f64 y 2))

series101.0ms (4.7%)

Counts

3 → 33

Calls

3 calls:

35.0ms	(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
34.0ms	(/.f64 x (pow.f64 y 2))
31.0ms	(+.f64 (/.f64 x (pow.f64 y 2)) x)

rewrite51.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

119×	`*-un-lft-identity_binary64`
94×	`times-frac_binary64`
89×	`add-sqr-sqrt_binary64`
84×	`add-cube-cbrt_binary64`
52×	`prod-diff_binary64`

Counts

3 → 183

Calls

3 calls:

17.0ms	(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
12.0ms	(+.f64 (/.f64 x (pow.f64 y 2)) x)
3.0ms	(/.f64 x (pow.f64 y 2))

simplify131.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

873×	`times-frac_binary64`
805×	`fma-def_binary64`
723×	`fma-neg_binary64`
333×	`distribute-rgt-in_binary64`
136×	`cancel-sign-sub-inv_binary64`

Counts

216 → 232

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	3771
1	650	3295
2	1610	2742
3	4812	2742
4	5209	2742

prune122.0ms (5.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	232	3	235

Error

Counts

235 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 x (/.f64 y (+.f64 y 1)))
✓	30.5b	(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
✓	7.6b	(.f64 (.f64 x y) (/.f64 1 (+.f64 y 1)))

Compiler

Compiled 5776 to 2331 computations (59.6% saved)

regimes94.0ms (4.4%)

Accuracy

Total 0.0b remaining (52.2%)

Threshold costs 0.0b (52.2%)

Counts

29 → 1

Compiler

Compiled 1012 to 687 computations (32.1% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`/-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	12	10
2	11	10

end51.0ms (2.3%)

Compiler: Compiled 51 to 34 computations (33.3% saved)

Details

analyze99.0ms (4.6%)

sample922.0ms (42.8%)

simplify7.0ms (0.3%)

prune1.0ms (0.1%)

localize6.0ms (0.3%)

series11.0ms (0.5%)

rewrite8.0ms (0.4%)

simplify67.0ms (3.1%)

prune36.0ms (1.7%)

localize6.0ms (0.3%)

series17.0ms (0.8%)

rewrite16.0ms (0.8%)

simplify112.0ms (5.2%)

prune68.0ms (3.2%)

localize5.0ms (0.2%)

series15.0ms (0.7%)

rewrite20.0ms (0.9%)

simplify104.0ms (4.8%)

prune74.0ms (3.4%)

localize7.0ms (0.3%)

series101.0ms (4.7%)

rewrite51.0ms (2.4%)

simplify131.0ms (6.1%)

prune122.0ms (5.7%)

regimes94.0ms (4.4%)

simplify5.0ms (0.2%)

end51.0ms (2.3%)

Profiling