Details

analyze89.0ms (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
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)

sample750.0ms (58.9%)

Results

723.0ms

8256×

body

128

valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify6.0ms (0.5%)

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

6.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	6.8b	(/.f64 (*.f64 x y) (+.f64 y 1))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.3b	(/.f64 (*.f64 x y) (+.f64 y 1))

series9.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

9.0ms

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

rewrite5.0ms (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:

4.0ms

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

simplify68.0ms (5.3%)

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

prune32.0ms (2.5%)

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
▶	0.1b	(/.f64 x (/.f64 (+.f64 y 1) y))
✓	6.8b	(/.f64 (*.f64 x y) (+.f64 y 1))

Compiler

Compiled 699 to 390 computations (44.2% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series11.0ms (0.8%)

Counts

2 → 36

Calls

2 calls:

9.0ms	(/.f64 x (/.f64 (+.f64 y 1) y))
2.0ms	(/.f64 (+.f64 y 1) y)

rewrite19.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64`
92×	`*-un-lft-identity_binary64`
60×	`add-sqr-sqrt_binary64`
60×	`add-cube-cbrt_binary64`
19×	`associate-/r*_binary64`

Counts

2 → 119

Calls

2 calls:

6.0ms	(/.f64 (+.f64 y 1) y)
5.0ms	(/.f64 x (/.f64 (+.f64 y 1) y))

simplify115.0ms (9%)

Algorithm

1×	egg-herbie

Rules

576×	`times-frac_binary64`
492×	`fma-neg_binary64`
406×	`associate-/l*_binary64`
369×	`associate-/r/_binary64`
328×	`div-sub_binary64`

Counts

155 → 169

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	2645
1	435	2511
2	1318	2503
3	3897	2503
4	4666	2503
5	5372	2503

prune73.0ms (5.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	169	2	171

Error

Counts

171 → 2

Alt Table

Status	Error	Program
✓	0.1b	(/.f64 x (/.f64 (+.f64 y 1) y))
✓	6.8b	(/.f64 (*.f64 x y) (+.f64 y 1))

Compiler

Compiled 2595 to 1478 computations (43% saved)

regimes46.0ms (3.6%)

Accuracy

Total 0.0b remaining (52%)

Threshold costs 0.0b (52%)

Counts

15 → 1

Compiler

Compiled 495 to 323 computations (34.7% saved)

simplify2.0ms (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

end37.0ms (2.9%)

Compiler: Compiled 36 to 24 computations (33.3% saved)

Details

analyze89.0ms (7%)

sample750.0ms (58.9%)

simplify6.0ms (0.5%)

prune1.0ms (0.1%)

localize4.0ms (0.3%)

series9.0ms (0.7%)

rewrite5.0ms (0.4%)

simplify68.0ms (5.3%)

prune32.0ms (2.5%)

localize4.0ms (0.3%)

series11.0ms (0.8%)

rewrite19.0ms (1.5%)

simplify115.0ms (9%)

prune73.0ms (5.8%)

regimes46.0ms (3.6%)

simplify2.0ms (0.2%)

end37.0ms (2.9%)

Profiling