Details

analyze105.0ms (3.8%)

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
50%	50%	0.1%	5
50%	50%	0.1%	6
62.4%	34.3%	3.2%	7
62.4%	32.8%	4.8%	8
68.7%	21.1%	10.2%	9
68.7%	19.1%	12.2%	10
71.8%	11.5%	16.7%	11
71.8%	10.2%	18%	12
73.4%	6%	20.6%	13
73.4%	5.3%	21.3%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample729.0ms (26.4%)

Results

671.0ms	8256×	body	128	valid
29.0ms	369×	body	128	invalid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`associate-/r*_binary64`
1×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	13	10
3	12	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

4.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	4.0b	(-.f64 (/.f64 x (*.f64 y y)) 3)

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.5b	(/.f64 x (*.f64 y y))

series22.0ms (0.8%)

Counts

1 → 24

Calls

1 calls:

22.0ms

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

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
3×	`associate-/l*_binary64`
3×	`*-un-lft-identity_binary64`
3×	`times-frac_binary64`

Counts

1 → 23

Calls

1 calls:

3.0ms

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

simplify61.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

553×	`div-sub_binary64`
385×	`associate-/l*_binary64`
361×	`associate-/l/_binary64`
320×	`*-commutative_binary64`
266×	`fma-def_binary64`

Counts

47 → 28

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	433
1	95	388
2	220	388
3	582	388
4	1890	388
5	2472	388
6	4192	388
7	5127	388

prune27.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	22	6	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	7	29

Error

0.0b

Counts

29 → 7

Alt Table

Status	Error	Program
✓	4.0b	(-.f64 (/.f64 x (*.f64 y y)) 3)
	15.3b	(-.f64 (cbrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3)) 3)
▶	0.1b	(-.f64 (/.f64 (/.f64 x y) y) 3)
	31.6b	(-.f64 (/.f64 (sqrt.f64 x) (/.f64 y (/.f64 (sqrt.f64 x) y))) 3)
	0.1b	(-.f64 (/.f64 1 (/.f64 y (/.f64 x y))) 3)
	0.1b	(-.f64 (*.f64 (/.f64 1 y) (/.f64 x y)) 3)
	0.5b	(-.f64 (.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) y)) 3)

Compiler

Compiled 478 to 239 computations (50% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series22.0ms (0.8%)

Counts

1 → 24

Calls

1 calls:

22.0ms

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

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64`
43×	`*-un-lft-identity_binary64`
43×	`add-sqr-sqrt_binary64`
43×	`add-cube-cbrt_binary64`
13×	`associate-/l*_binary64`

Counts

1 → 72

Calls

1 calls:

4.0ms

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

simplify97.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

346×	`distribute-rgt-in_binary64`
343×	`fma-neg_binary64`
329×	`associate-/l/_binary64`
297×	`distribute-lft-in_binary64`
282×	`fma-def_binary64`

Counts

96 → 112

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	140	1474
1	296	1373
2	571	1301
3	1319	1277
4	1643	1272
5	2461	1222
6	4296	1192
7	4860	1192

prune75.0ms (2.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	113	6	119

Error

Counts

119 → 6

Alt Table

Status	Error	Program
✓	4.0b	(-.f64 (/.f64 x (*.f64 y y)) 3)
	32.0b	(-.f64 (*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (pow.f64 y 3/2))) 3)
✓	0.1b	(-.f64 (/.f64 (/.f64 x y) y) 3)
	31.6b	(-.f64 (/.f64 (sqrt.f64 x) (/.f64 y (/.f64 (sqrt.f64 x) y))) 3)
▶	0.1b	(-.f64 (/.f64 1 (/.f64 y (/.f64 x y))) 3)
	0.1b	(-.f64 (*.f64 (/.f64 1 y) (/.f64 x y)) 3)

Compiler

Compiled 1844 to 739 computations (59.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 y (/.f64 x y))
✓	0.4b	(/.f64 1 (/.f64 y (/.f64 x y)))

series31.0ms (1.1%)

Counts

2 → 48

Calls

2 calls:

22.0ms	(/.f64 1 (/.f64 y (/.f64 x y)))
9.0ms	(/.f64 y (/.f64 x y))

rewrite259.0ms (9.4%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64`
229×	`*-un-lft-identity_binary64`
229×	`add-sqr-sqrt_binary64`
229×	`add-cube-cbrt_binary64`
57×	`associate-/r*_binary64`

Counts

2 → 278

Calls

2 calls:

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

simplify546.0ms (19.8%)

Algorithm

1×	egg-herbie

Rules

768×	`fma-def_binary64`
596×	`fma-neg_binary64`
301×	`*-commutative_binary64`
295×	`associate-/r/_binary64`
270×	`div-sub_binary64`

Counts

326 → 407

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	245	6405
1	478	5400
2	1473	4989
3	1721	4941
4	2295	4926
5	3601	4718
6	4197	4616
7	4792	4616
8	4877	4616

prune305.0ms (11%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	407	0	407
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	407	6	413

Error

Counts

413 → 6

Alt Table

Status	Error	Program
✓	4.0b	(-.f64 (/.f64 x (*.f64 y y)) 3)
	32.0b	(-.f64 (*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (pow.f64 y 3/2))) 3)
✓	0.1b	(-.f64 (/.f64 (/.f64 x y) y) 3)
	31.6b	(-.f64 (/.f64 (sqrt.f64 x) (/.f64 y (/.f64 (sqrt.f64 x) y))) 3)
✓	0.1b	(-.f64 (/.f64 1 (/.f64 y (/.f64 x y))) 3)
▶	0.1b	(-.f64 (*.f64 (/.f64 1 y) (/.f64 x y)) 3)

Compiler

Compiled 7983 to 3431 computations (57% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 y) (/.f64 x y))

series22.0ms (0.8%)

Counts

1 → 24

Calls

1 calls:

22.0ms

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

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
23×	`add-exp-log_binary64`
17×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`

Counts

1 → 58

Calls

1 calls:

8.0ms

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

simplify119.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

885×	`fma-neg_binary64`
444×	`times-frac_binary64`
349×	`associate-/l*_binary64`
316×	`fma-def_binary64`
233×	`*-commutative_binary64`

Counts

82 → 90

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	934
1	236	811
2	708	776
3	1790	764
4	2239	764
5	3222	764
6	4299	764
7	4925	764
8	4992	764
9	4884	764

prune58.0ms (2.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	90	6	96

Error

Counts

96 → 6

Alt Table

Status	Error	Program
✓	4.0b	(-.f64 (/.f64 x (*.f64 y y)) 3)
	32.0b	(-.f64 (*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (pow.f64 y 3/2))) 3)
✓	0.1b	(-.f64 (/.f64 (/.f64 x y) y) 3)
	31.6b	(-.f64 (/.f64 (sqrt.f64 x) (/.f64 y (/.f64 (sqrt.f64 x) y))) 3)
✓	0.1b	(-.f64 (/.f64 1 (/.f64 y (/.f64 x y))) 3)
✓	0.1b	(-.f64 (*.f64 (/.f64 1 y) (/.f64 x y)) 3)

Compiler

Compiled 1463 to 756 computations (48.3% saved)

regimes162.0ms (5.9%)

Accuracy

Total 0.1b remaining (83.5%)

Threshold costs 0.1b (83.5%)

Counts

36 → 1

Compiler

Compiled 2959 to 1815 computations (38.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	11	10
3	10	10

end68.0ms (2.5%)

Compiler: Compiled 85 to 59 computations (30.6% saved)

Details

analyze105.0ms (3.8%)

sample729.0ms (26.4%)

simplify6.0ms (0.2%)

prune1.0ms (0.1%)

localize4.0ms (0.1%)

series22.0ms (0.8%)

rewrite4.0ms (0.1%)

simplify61.0ms (2.2%)

prune27.0ms (1%)

localize4.0ms (0.1%)

series22.0ms (0.8%)

rewrite9.0ms (0.3%)

simplify97.0ms (3.5%)

prune75.0ms (2.7%)

localize5.0ms (0.2%)

series31.0ms (1.1%)

rewrite259.0ms (9.4%)

simplify546.0ms (19.8%)

prune305.0ms (11%)

localize5.0ms (0.2%)

series22.0ms (0.8%)

rewrite13.0ms (0.5%)

simplify119.0ms (4.3%)

prune58.0ms (2.1%)

regimes162.0ms (5.9%)

simplify2.0ms (0.1%)

end68.0ms (2.5%)

Profiling