Details

analyze50.0ms (2.1%)

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
25%	74.9%	0.1%	4
43.7%	56.2%	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 8 to 5 computations (37.5% saved)

sample744.0ms (32.1%)

Results

710.0ms

8256×

body

128

valid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	7

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 x (+.f64 y x))

Compiler

Compiled 26 to 14 computations (46.2% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series11.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

11.0ms

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

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
4×	`associate-/r*_binary64`

Counts

1 → 35

Calls

1 calls:

3.0ms

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

simplify45.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

614×	`fma-def_binary64`
547×	`associate-/r*_binary64`
430×	`associate-/l/_binary64`
325×	`associate-/r/_binary64`
276×	`cancel-sign-sub-inv_binary64`

Counts

59 → 68

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	914
1	184	884
2	477	833
3	1577	791
4	4946	791

prune35.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	4	69

Error

Counts

69 → 4

Alt Table

Status	Error	Program
	30.6b	(*.f64 (+.f64 (/.f64 x (neg.f64 y)) 1) (/.f64 x y))
▶	0.2b	(*.f64 x (/.f64 1 (+.f64 y x)))
	0.4b	(/.f64 1 (/.f64 (+.f64 y x) x))
✓	0.0b	(/.f64 x (+.f64 y x))

Compiler

Compiled 909 to 306 computations (66.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series23.0ms (1%)

Counts

2 → 48

Calls

2 calls:

15.0ms	(*.f64 x (/.f64 1 (+.f64 y x)))
8.0ms	(/.f64 1 (+.f64 y x))

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64`
27×	`add-sqr-sqrt_binary64`
26×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64`
18×	`associate-r_binary64`

Counts

2 → 82

Calls

2 calls:

7.0ms	(*.f64 x (/.f64 1 (+.f64 y x)))
3.0ms	(/.f64 1 (+.f64 y x))

simplify140.0ms (6%)

Algorithm

1×	egg-herbie

Rules

661×	`cancel-sign-sub-inv_binary64`
454×	`fma-neg_binary64`
274×	`sub-neg_binary64`
252×	`times-frac_binary64`
213×	`associate-/l*_binary64`

Counts

130 → 141

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	117	1797
1	268	1704
2	761	1617
3	2439	1593
4	4270	1593
5	4889	1569
6	4980	1569
7	4939	1569

prune66.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	1	1	2
Picked	0	1	1
Done	1	0	1
Total	142	3	145

Error

Counts

145 → 3

Alt Table

Status	Error	Program
	30.6b	(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
✓	0.2b	(*.f64 x (/.f64 1 (+.f64 y x)))
▶	0.4b	(/.f64 1 (/.f64 (+.f64 y x) x))

Compiler

Compiled 2008 to 950 computations (52.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 y x) x)
✓	0.4b	(/.f64 1 (/.f64 (+.f64 y x) x))

series15.0ms (0.6%)

Counts

2 → 48

Calls

2 calls:

10.0ms	(/.f64 1 (/.f64 (+.f64 y x) x))
4.0ms	(/.f64 (+.f64 y x) x)

rewrite20.0ms (0.8%)

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 → 125

Calls

2 calls:

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

simplify113.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

955×	`fma-neg_binary64`
428×	`cancel-sign-sub-inv_binary64`
325×	`distribute-rgt-in_binary64`
297×	`times-frac_binary64`
209×	`associate-/l*_binary64`

Counts

173 → 158

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	2656
1	278	2369
2	789	2282
3	2561	2259
4	4527	2259
5	5077	2259

prune70.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	158	3	161

Error

Counts

161 → 3

Alt Table

Status	Error	Program
▶	30.6b	(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
✓	0.2b	(*.f64 x (/.f64 1 (+.f64 y x)))
✓	0.4b	(/.f64 1 (/.f64 (+.f64 y x) x))

Compiler

Compiled 2460 to 895 computations (63.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 x y) 2)
✓	5.3b	(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))

series32.0ms (1.4%)

Counts

2 → 48

Calls

2 calls:

22.0ms	(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
10.0ms	(pow.f64 (/.f64 x y) 2)

rewrite75.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Rules

314×	`times-frac_binary64`
278×	`add-sqr-sqrt_binary64`
260×	`*-un-lft-identity_binary64`
255×	`add-cube-cbrt_binary64`
234×	`prod-diff_binary64`

Counts

2 → 322

Calls

2 calls:

19.0ms	(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
3.0ms	(pow.f64 (/.f64 x y) 2)

simplify341.0ms (14.7%)

Algorithm

1×	egg-herbie

Rules

384×	`exp-prod_binary64`
282×	`log-prod_binary64`
280×	`cube-prod_binary64`
246×	`fma-neg_binary64`
213×	`unswap-sqr_binary64`

Counts

370 → 378

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	407	19564
1	776	8250
2	1930	5992
3	3852	5992
4	4955	5992

prune369.0ms (15.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	378	0	378
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	378	3	381

Error

Counts

381 → 3

Alt Table

Status	Error	Program
✓	30.6b	(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
✓	0.2b	(*.f64 x (/.f64 1 (+.f64 y x)))
✓	0.4b	(/.f64 1 (/.f64 (+.f64 y x) x))

Compiler

Compiled 15589 to 6404 computations (58.9% saved)

regimes81.0ms (3.5%)

Accuracy

Total 0.0b remaining (35.4%)

Threshold costs 0.0b (35.4%)

Counts

30 → 1

Compiler

Compiled 891 to 596 computations (33.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

end43.0ms (1.9%)

Compiler: Compiled 43 to 26 computations (39.5% saved)

Details

analyze50.0ms (2.1%)

sample744.0ms (32.1%)

simplify6.0ms (0.3%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

series11.0ms (0.5%)

rewrite5.0ms (0.2%)

simplify45.0ms (1.9%)

prune35.0ms (1.5%)

localize4.0ms (0.2%)

series23.0ms (1%)

rewrite16.0ms (0.7%)

simplify140.0ms (6%)

prune66.0ms (2.9%)

localize4.0ms (0.2%)

series15.0ms (0.6%)

rewrite20.0ms (0.8%)

simplify113.0ms (4.9%)

prune70.0ms (3%)

localize4.0ms (0.2%)

series32.0ms (1.4%)

rewrite75.0ms (3.2%)

simplify341.0ms (14.7%)

prune369.0ms (15.9%)

regimes81.0ms (3.5%)

simplify2.0ms (0.1%)

end43.0ms (1.9%)

Profiling