Details

analyze85.0ms (7.2%)

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)

sample30.0ms (2.5%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify7.0ms (0.6%)

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

7.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	7.3b	(/.f64 (*.f64 x y) (+.f64 y 1))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.8b	(/.f64 (*.f64 x y) (+.f64 y 1))

series10.0ms (0.8%)

Counts

1 → 24

Calls

1 calls:

10.0ms

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

rewrite6.0ms (0.5%)

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:

5.0ms

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

simplify78.0ms (6.6%)

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

prune31.0ms (2.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	2	55

Error

Counts

55 → 2

Alt Table

Status	Error	Program
✓	7.3b	(/.f64 (*.f64 x y) (+.f64 y 1))
▶	33.5b	(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))

Compiler

Compiled 707 to 394 computations (44.3% saved)

localize8.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 x (pow.f64 y 2)) x)
✓	3.9b	(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
✓	7.2b	(/.f64 x (pow.f64 y 2))

series85.0ms (7.2%)

Counts

3 → 33

Calls

3 calls:

32.0ms	(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
28.0ms	(+.f64 (/.f64 x (pow.f64 y 2)) x)
25.0ms	(/.f64 x (pow.f64 y 2))

rewrite44.0ms (3.7%)

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:

14.0ms	(-.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))

simplify128.0ms (10.9%)

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

prune115.0ms (9.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	232	2	234

Error

Counts

234 → 2

Alt Table

Status	Error	Program
✓	7.3b	(/.f64 (*.f64 x y) (+.f64 y 1))
✓	33.5b	(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))

Compiler

Compiled 5765 to 2323 computations (59.7% saved)

regimes35.0ms (3%)

Accuracy

Total 0.0b remaining (18.8%)

Threshold costs 0.0b (18.8%)

Counts

11 → 1

Compiler

Compiled 327 to 221 computations (32.4% saved)

simplify3.0ms (0.2%)

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

end0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

sample505.0ms (43%)

Algorithm

1×

intervals

Results

252.0ms

8000×

body

128

valid

Compiler

Compiled 43 to 29 computations (32.6% saved)

Details

analyze85.0ms (7.2%)

sample30.0ms (2.5%)

simplify7.0ms (0.6%)

prune1.0ms (0.1%)

localize4.0ms (0.4%)

series10.0ms (0.8%)

rewrite6.0ms (0.5%)

simplify78.0ms (6.6%)

prune31.0ms (2.6%)

localize8.0ms (0.7%)

series85.0ms (7.2%)

rewrite44.0ms (3.7%)

simplify128.0ms (10.9%)

prune115.0ms (9.8%)

regimes35.0ms (3%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample505.0ms (43%)

Profiling