Details

analyze75.0ms (2.2%)

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
25%	74.9%	0.1%	3
37.5%	62.4%	0.1%	4
56.2%	43.7%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample1.1s (32.1%)

Results

1.0s

8256×

body

128

valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	15	10
3	18	10
4	19	10
5	19	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

0.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.4b	(/.f64 (*.f64 x 100) (+.f64 x y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (*.f64 x 100) (+.f64 x y))

series24.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

24.0ms

(/.f64 (*.f64 x 100) (+.f64 x y))

rewrite6.0ms (0.2%)

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 100) (+.f64 x y))

simplify141.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

639×	`fma-neg_binary64`
473×	`associate-/l*_binary64`
448×	`times-frac_binary64`
210×	`associate-/r*_binary64`
192×	`associate-*l/_binary64`

Counts

51 → 54

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	927
1	263	846
2	891	789
3	3804	780
4	4821	780
5	4965	780
6	4999	780
7	4937	780

prune77.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	4	55

Error

Counts

55 → 4

Alt Table

Status	Error	Program
	33.0b	(*.f64 100 (/.f64 x y))
	10.6b	(.f64 (sqrt.f64 (/.f64 (.f64 x 100) (+.f64 x y))) (sqrt.f64 (/.f64 (*.f64 x 100) (+.f64 x y))))
✓	0.4b	(/.f64 (*.f64 x 100) (+.f64 x y))
▶	0.2b	(/.f64 x (/.f64 (+.f64 x y) 100))

Compiler

Compiled 840 to 432 computations (48.6% saved)

localize27.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) 100)
✓	0.2b	(/.f64 x (/.f64 (+.f64 x y) 100))

series25.0ms (0.7%)

Counts

2 → 48

Calls

2 calls:

14.0ms	(/.f64 x (/.f64 (+.f64 x y) 100))
11.0ms	(/.f64 (+.f64 x y) 100)

rewrite32.0ms (0.9%)

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:

9.0ms	(/.f64 x (/.f64 (+.f64 x y) 100))
8.0ms	(/.f64 (+.f64 x y) 100)

simplify274.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

427×	`associate-/l*_binary64`
425×	`times-frac_binary64`
372×	`associate-/r/_binary64`
332×	`associate-*l/_binary64`
322×	`fma-neg_binary64`

Counts

167 → 194

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	207	2890
1	479	2755
2	1412	2696
3	4362	2687
4	5008	2687

prune189.0ms (5.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	192	2	194
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	194	4	198

Error

Counts

198 → 4

Alt Table

Status	Error	Program
	0.2b	(*.f64 (/.f64 x (+.f64 x y)) 100)
▶	0.2b	(*.f64 10 (/.f64 x (/.f64 (+.f64 x y) 10)))
✓	0.4b	(/.f64 (*.f64 x 100) (+.f64 x y))
✓	0.2b	(/.f64 x (/.f64 (+.f64 x y) 100))

Compiler

Compiled 3139 to 1496 computations (52.3% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) 10)
✓	0.1b	(/.f64 x (/.f64 (+.f64 x y) 10))
✓	0.1b	(*.f64 10 (/.f64 x (/.f64 (+.f64 x y) 10)))

series47.0ms (1.4%)

Counts

3 → 72

Calls

3 calls:

24.0ms	(*.f64 10 (/.f64 x (/.f64 (+.f64 x y) 10)))
19.0ms	(/.f64 x (/.f64 (+.f64 x y) 10))
4.0ms	(/.f64 (+.f64 x y) 10)

rewrite75.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

195×	`times-frac_binary64`
153×	`*-un-lft-identity_binary64`
112×	`add-sqr-sqrt_binary64`
103×	`add-cube-cbrt_binary64`
53×	`associate-r_binary64`

Counts

3 → 196

Calls

3 calls:

20.0ms	(*.f64 10 (/.f64 x (/.f64 (+.f64 x y) 10)))
11.0ms	(/.f64 x (/.f64 (+.f64 x y) 10))
6.0ms	(/.f64 (+.f64 x y) 10)

simplify267.0ms (7.9%)

Algorithm

1×	egg-herbie

Rules

804×	`times-frac_binary64`
616×	`associate-/r/_binary64`
485×	`associate-/r*_binary64`
398×	`fma-neg_binary64`
306×	`fma-def_binary64`

Counts

268 → 278

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	4873
1	722	4582
2	2304	4438
3	4781	4438
4	5023	4438

prune243.0ms (7.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	278	0	278
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	278	4	282

Error

Counts

282 → 4

Alt Table

Status	Error	Program
▶	0.2b	(*.f64 (/.f64 x (+.f64 x y)) 100)
✓	0.2b	(*.f64 10 (/.f64 x (/.f64 (+.f64 x y) 10)))
✓	0.4b	(/.f64 (*.f64 x 100) (+.f64 x y))
✓	0.2b	(/.f64 x (/.f64 (+.f64 x y) 100))

Compiler

Compiled 5132 to 2738 computations (46.6% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
✓	0.2b	(*.f64 (/.f64 x (+.f64 x y)) 100)

series47.0ms (1.4%)

Counts

2 → 48

Calls

2 calls:

32.0ms	(*.f64 (/.f64 x (+.f64 x y)) 100)
16.0ms	(/.f64 x (+.f64 x y))

rewrite32.0ms (0.9%)

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-l_binary64`

Counts

2 → 74

Calls

2 calls:

15.0ms	(*.f64 (/.f64 x (+.f64 x y)) 100)
8.0ms	(/.f64 x (+.f64 x y))

simplify212.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

848×	`fma-neg_binary64`
334×	`associate-/l*_binary64`
300×	`times-frac_binary64`
268×	`div-sub_binary64`
251×	`associate-l_binary64`

Counts

122 → 126

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	1976
1	381	1874
2	1047	1760
3	3762	1742
4	4690	1742
5	5209	1742

prune135.0ms (4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	126	4	130

Error

Counts

130 → 4

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 (/.f64 x (+.f64 x y)) 100)
✓	0.2b	(*.f64 10 (/.f64 x (/.f64 (+.f64 x y) 10)))
✓	0.4b	(/.f64 (*.f64 x 100) (+.f64 x y))
✓	0.2b	(/.f64 x (/.f64 (+.f64 x y) 100))

Compiler

Compiled 1922 to 760 computations (60.5% saved)

regimes195.0ms (5.8%)

Accuracy

Total 0.2b remaining (95.2%)

Threshold costs 0.2b (95.2%)

Counts

36 → 1

Compiler

Compiled 1383 to 935 computations (32.4% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	8	10
2	8	10

end116.0ms (3.4%)

Compiler: Compiled 56 to 38 computations (32.1% saved)

Details

analyze75.0ms (2.2%)

sample1.1s (32.1%)

simplify11.0ms (0.3%)

prune3.0ms (0.1%)

localize9.0ms (0.3%)

series24.0ms (0.7%)

rewrite6.0ms (0.2%)

simplify141.0ms (4.2%)

prune77.0ms (2.3%)

localize27.0ms (0.8%)

series25.0ms (0.7%)

rewrite32.0ms (0.9%)

simplify274.0ms (8.1%)

prune189.0ms (5.6%)

localize11.0ms (0.3%)

series47.0ms (1.4%)

rewrite75.0ms (2.2%)

simplify267.0ms (7.9%)

prune243.0ms (7.2%)

localize9.0ms (0.3%)

series47.0ms (1.4%)

rewrite32.0ms (0.9%)

simplify212.0ms (6.3%)

prune135.0ms (4%)

regimes195.0ms (5.8%)

simplify5.0ms (0.1%)

end116.0ms (3.4%)

Profiling