Details

analyze111.0ms (2.9%)

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)

sample1.3s (32.4%)

Results

1.1s	8256×	body	128	valid
31.0ms	384×	body	128	invalid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify6.0ms (0.1%)

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%)

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

6.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	6.4b	(-.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
✓	10.4b	(/.f64 x (*.f64 y y))

series25.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

25.0ms

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

rewrite6.0ms (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:

5.0ms

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

simplify61.0ms (1.6%)

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

prune25.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	4	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Error

0.0b

Counts

29 → 5

Alt Table

Status	Error	Program
✓	6.4b	(-.f64 (/.f64 x (*.f64 y y)) 3)
	0.1b	(-.f64 (/.f64 1 (/.f64 y (/.f64 x y))) 3)
▶	0.1b	(-.f64 (/.f64 (/.f64 x y) 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 428 to 205 computations (52.1% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series26.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

26.0ms

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

rewrite10.0ms (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)

simplify94.0ms (2.4%)

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

prune91.0ms (2.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	110	7	117

Error

Counts

117 → 7

Alt Table

Status	Error	Program
✓	6.4b	(-.f64 (/.f64 x (*.f64 y y)) 3)
▶	0.1b	(-.f64 (/.f64 1 (/.f64 y (/.f64 x y))) 3)
✓	0.1b	(-.f64 (/.f64 (/.f64 x y) y) 3)
	0.6b	(-.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 y))) 3)
	0.5b	(-.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) (cbrt.f64 (/.f64 (/.f64 x y) y))) (cbrt.f64 (/.f64 (/.f64 x y) y))) 3)
	0.6b	(-.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x y) (cbrt.f64 y))) 3)
	0.5b	(-.f64 (.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) y)) 3)

Compiler

Compiled 1934 to 771 computations (60.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 y (/.f64 x y))
✓	0.7b	(/.f64 1 (/.f64 y (/.f64 x y)))

series35.0ms (0.9%)

Counts

2 → 48

Calls

2 calls:

26.0ms	(/.f64 1 (/.f64 y (/.f64 x y)))
10.0ms	(/.f64 y (/.f64 x y))

rewrite44.0ms (1.1%)

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:

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

simplify271.0ms (7%)

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

prune309.0ms (8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	406	1	407
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	409	5	414

Error

Counts

414 → 5

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (/.f64 (/.f64 x y) y) 3)
	1.8b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1 (.f64 y (cbrt.f64 y)))) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 y) 2))) 3)
✓	6.4b	(-.f64 (/.f64 x (*.f64 y y)) 3)
	0.6b	(-.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x y) (cbrt.f64 y))) 3)
▶	0.5b	(-.f64 (.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) y)) 3)

Compiler

Compiled 8010 to 3441 computations (57% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y)
✓	0.3b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) y))
✓	0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
✓	0.6b	(cbrt.f64 x)

series460.0ms (11.9%)

Counts

4 → 72

Calls

4 calls:

352.0ms	(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y)
37.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) y))
36.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
35.0ms	(cbrt.f64 x)

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64`
32×	`add-exp-log_binary64`
31×	`times-frac_binary64`
30×	`*-un-lft-identity_binary64`
30×	`cbrt-prod_binary64`

Counts

4 → 139

Calls

4 calls:

10.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) y))
4.0ms	(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y)
4.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)

simplify111.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

603×	`unswap-sqr_binary64`
597×	`associate-/r/_binary64`
486×	`associate-/r*_binary64`
442×	`*-commutative_binary64`
389×	`log-prod_binary64`

Counts

211 → 217

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	2716
1	422	2170
2	1633	2033
3	3150	1965
4	4706	1965
5	5226	1965

prune180.0ms (4.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	252	1	253
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	253	5	258

Error

Counts

258 → 5

Alt Table

Status	Error	Program
	0.5b	(-.f64 (/.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) y)) y) 3)
✓	0.1b	(-.f64 (/.f64 (/.f64 x y) y) 3)
	1.8b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1 (.f64 y (cbrt.f64 y)))) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 y) 2))) 3)
✓	6.4b	(-.f64 (/.f64 x (*.f64 y y)) 3)
✓	0.5b	(-.f64 (.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) y)) 3)

Compiler

Compiled 4946 to 1678 computations (66.1% saved)

regimes583.0ms (15.1%)

Accuracy

Total 0.1b remaining (65.1%)

Threshold costs 0.1b (65.1%)

Counts

114 → 1

Compiler

Compiled 10044 to 6623 computations (34.1% 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

end110.0ms (2.9%)

Compiler: Compiled 92 to 57 computations (38% saved)

Details

analyze111.0ms (2.9%)

sample1.3s (32.4%)

simplify6.0ms (0.1%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series25.0ms (0.6%)

rewrite6.0ms (0.1%)

simplify61.0ms (1.6%)

prune25.0ms (0.6%)

localize4.0ms (0.1%)

series26.0ms (0.7%)

rewrite10.0ms (0.3%)

simplify94.0ms (2.4%)

prune91.0ms (2.3%)

localize5.0ms (0.1%)

series35.0ms (0.9%)

rewrite44.0ms (1.1%)

simplify271.0ms (7%)

prune309.0ms (8%)

localize7.0ms (0.2%)

series460.0ms (11.9%)

rewrite29.0ms (0.7%)

simplify111.0ms (2.9%)

prune180.0ms (4.7%)

regimes583.0ms (15.1%)

simplify2.0ms (0.1%)

end110.0ms (2.9%)

Profiling