Details

analyze459.0ms (16.2%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
40.6%	50.7%	8.7%	10
48.4%	42.1%	9.5%	11
54.2%	35.5%	10.3%	12
59.1%	25.9%	15%	13
63.9%	20.9%	15.3%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (38.9%)

Results

881.0ms	8256×	body	128	valid
59.0ms	615×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify54.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

782×	`fma-def_binary64`
523×	`fma-neg_binary64`
142×	`cancel-sign-sub-inv_binary64`
122×	`distribute-rgt-in_binary64`
106×	`unsub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	16	11
2	36	11
3	78	11
4	154	11
5	268	11
6	404	11
7	631	11
8	911	11
9	1092	11
10	1291	11
11	1314	11
12	1316	11
13	1316	11
14	1243	11

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.2b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
▶	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)

Compiler

Compiled 66 to 41 computations (37.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 y x) 6)
✓	0.2b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)

series13.0ms (0.5%)

Counts

2 → 60

Calls

2 calls:

9.0ms	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
5.0ms	(*.f64 (-.f64 y x) 6)

rewrite52.0ms (1.8%)

Algorithm

2×	batch-egg-rewrite

Rules

847×	`log1p-expm1-u_binary64`
847×	`expm1-log1p-u_binary64`
433×	`prod-diff_binary64`
88×	`add-sqr-sqrt_binary64`
82×	`add-log-exp_binary64`

Counts

2 → 42

Calls

2 calls:

50.0ms	(*.f64 (-.f64 y x) 6)
50.0ms	(fma.f64 (*.f64 (-.f64 y x) 6) z x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	171	18
2	2112	18
3	5919	18
0	0	0
1	0	0

simplify74.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

742×	`fma-def_binary64`
521×	`fma-neg_binary64`
105×	`cancel-sign-sub-inv_binary64`
96×	`associate-l_binary64`
95×	`distribute-rgt-in_binary64`

Counts

102 → 59

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	681
1	83	573
2	180	567
3	367	513
4	635	513
5	1001	513
6	1279	513
7	1320	513
8	1324	513
9	1324	513
10	1251	513

prune37.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	54	5	59
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	55	6	61

Error

0.0b

Counts

61 → 6

Alt Table

Status	Error	Program
	1.3b	(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 y x) 6) z x)) 3)
▶	0.2b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)
	0.2b	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
	22.4b	(fma.f64 x (*.f64 z -6) x)
✓	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
	33.4b	(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) 6)) 2) z x)

Compiler

Compiled 828 to 456 computations (44.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 z (-.f64 y x))
✓	0.2b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)

series20.0ms (0.7%)

Counts

2 → 60

Calls

2 calls:

14.0ms	(fma.f64 6 (*.f64 z (-.f64 y x)) x)
6.0ms	(*.f64 z (-.f64 y x))

rewrite53.0ms (1.9%)

Algorithm

2×	batch-egg-rewrite

Rules

848×	`log1p-expm1-u_binary64`
848×	`expm1-log1p-u_binary64`
418×	`prod-diff_binary64`
88×	`add-sqr-sqrt_binary64`
82×	`add-log-exp_binary64`

Counts

2 → 44

Calls

2 calls:

52.0ms	(*.f64 z (-.f64 y x))
52.0ms	(fma.f64 6 (*.f64 z (-.f64 y x)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	171	18
2	2114	18
3	5907	18
0	0	0
1	0	0

simplify72.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-def_binary64`
514×	`fma-neg_binary64`
109×	`cancel-sign-sub-inv_binary64`
97×	`associate-l_binary64`
88×	`distribute-rgt-in_binary64`

Counts

104 → 60

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	741
1	92	579
2	196	573
3	381	519
4	675	519
5	1042	519
6	1286	519
7	1318	519
8	1322	519
9	1322	519
10	1249	519

prune37.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	61	5	66

Error

0.0b

Counts

66 → 5

Alt Table

Status	Error	Program
	1.3b	(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 y x) 6) z x)) 3)
▶	0.2b	(fma.f64 (*.f64 6 z) (-.f64 y x) x)
✓	0.2b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)
	0.2b	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
✓	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)

Compiler

Compiled 817 to 393 computations (51.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (*.f64 6 z) (-.f64 y x) x)

series12.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

12.0ms

(fma.f64 (*.f64 6 z) (-.f64 y x) x)

rewrite44.0ms (1.5%)

Algorithm

2×	batch-egg-rewrite

Rules

845×	`log1p-expm1-u_binary64`
845×	`expm1-log1p-u_binary64`
433×	`prod-diff_binary64`
88×	`add-sqr-sqrt_binary64`
82×	`add-log-exp_binary64`

Counts

1 → 23

Calls

1 calls:

43.0ms

(fma.f64 (*.f64 6 z) (-.f64 y x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	171	11
2	2108	11
3	5907	11
0	0	0
1	0	0

simplify70.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

742×	`fma-def_binary64`
521×	`fma-neg_binary64`
105×	`cancel-sign-sub-inv_binary64`
96×	`associate-l_binary64`
95×	`distribute-rgt-in_binary64`

Counts

59 → 34

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	531
1	82	423
2	180	417
3	367	363
4	635	363
5	1001	363
6	1279	363
7	1320	363
8	1324	363
9	1324	363
10	1251	363

prune18.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	34	5	39

Error

0.0b

Counts

39 → 5

Alt Table

Status	Error	Program
	1.3b	(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 y x) 6) z x)) 3)
✓	0.2b	(fma.f64 (*.f64 6 z) (-.f64 y x) x)
✓	0.2b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)
▶	0.2b	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
✓	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)

Compiler

Compiled 503 to 282 computations (43.9% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 6 (.f64 y z)) x)
✓	0.0b	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
✓	0.3b	(.f64 6 (.f64 y z))
✓	0.3b	(.f64 6 (.f64 z x))

series32.0ms (1.1%)

Counts

4 → 18

Calls

4 calls:

13.0ms	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
7.0ms	(.f64 6 (.f64 z x))
6.0ms	(+.f64 (.f64 6 (.f64 y z)) x)
4.0ms	(.f64 6 (.f64 y z))

rewrite93.0ms (3.3%)

Algorithm

2×	batch-egg-rewrite

Rules

670×	`fma-def_binary64`
305×	`fma-neg_binary64`
230×	`expm1-udef_binary64`
230×	`log1p-udef_binary64`
229×	`egg-rr`

Counts

4 → 229

Calls

4 calls:

88.0ms	(+.f64 (.f64 6 (.f64 y z)) x)
88.0ms	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
88.0ms	(.f64 6 (.f64 y z))
88.0ms	(.f64 6 (.f64 z x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	251	39
2	3341	37
3	4941	37
0	0	0
1	0	0

simplify53.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

663×	`fma-def_binary64`
320×	`fma-neg_binary64`
96×	`associate-l_binary64`
82×	`associate-r_binary64`
82×	`cancel-sign-sub-inv_binary64`

Counts

247 → 239

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	111
1	75	111
2	164	105
3	330	105
4	552	105
5	825	105
6	1043	105
7	1069	105
8	1072	105
9	1072	105
10	999	105

prune186.0ms (6.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	237	2	239
Fresh	1	0	1
Picked	1	0	1
Done	1	2	3
Total	240	4	244

Error

0.0b

Counts

244 → 4

Alt Table

Status	Error	Program
	0.2b	(+.f64 (fma.f64 (.f64 z x) -6 (fma.f64 6 (.f64 z y) x)) (fma.f64 -6 (.f64 z x) (.f64 6 (*.f64 z x))))
	0.2b	(+.f64 x (fma.f64 6 (.f64 z y) (.f64 (*.f64 z x) -6)))
✓	0.2b	(fma.f64 (*.f64 6 z) (-.f64 y x) x)
✓	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)

Compiler

Compiled 5149 to 2598 computations (49.5% saved)

regimes259.0ms (9.1%)

Accuracy

Total 0.2b remaining (94.6%)

Threshold costs 0.2b (94.6%)

Counts

62 → 1

Compiler

Compiled 3556 to 2414 computations (32.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	11	11
2	16	11
3	18	11
4	19	11
5	19	11

end67.0ms (2.4%)

Compiler: Compiled 84 to 52 computations (38.1% saved)

Details

analyze459.0ms (16.2%)

sample1.1s (38.9%)

simplify54.0ms (1.9%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series13.0ms (0.5%)

rewrite52.0ms (1.8%)

simplify74.0ms (2.6%)

prune37.0ms (1.3%)

localize5.0ms (0.2%)

series20.0ms (0.7%)

rewrite53.0ms (1.9%)

simplify72.0ms (2.5%)

prune37.0ms (1.3%)

localize5.0ms (0.2%)

series12.0ms (0.4%)

rewrite44.0ms (1.5%)

simplify70.0ms (2.5%)

prune18.0ms (0.6%)

localize8.0ms (0.3%)

series32.0ms (1.1%)

rewrite93.0ms (3.3%)

simplify53.0ms (1.9%)

prune186.0ms (6.5%)

regimes259.0ms (9.1%)

simplify3.0ms (0.1%)

end67.0ms (2.4%)

Profiling