Details

analyze436.0ms (14.3%)

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)

sample1.3s (42%)

Results

948.0ms	8256×	body	128	valid
174.0ms	593×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify52.0ms (1.7%)

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

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 42 to 25 computations (40.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 y x) 6)
✓	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)

series15.0ms (0.5%)

Counts

2 → 60

Calls

2 calls:

11.0ms	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
4.0ms	(*.f64 (-.f64 y x) 6)

rewrite49.0ms (1.6%)

Algorithm

2×	batch-egg-rewrite

Rules

42× egg-rr

Counts

2 → 42

Calls

2 calls:

48.0ms	((fma.f64 (.f64 (-.f64 y x) 6) z x) (.f64 (-.f64 y x) 6))
0.0ms	()

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

simplify67.0ms (2.2%)

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

prune39.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	4	60

Error

0.0b

Counts

60 → 4

Alt Table

Status	Error	Program
	22.6b	(fma.f64 x (*.f64 z -6) x)
✓	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
▶	0.2b	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
	28.5b	(fma.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 x x)) 6) (+.f64 y x)) z x)

Compiler

Compiled 788 to 424 computations (46.2% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
✓	0.0b	(+.f64 (.f64 6 (.f64 y z)) x)
✓	0.2b	(.f64 6 (.f64 y z))
✓	0.3b	(.f64 6 (.f64 z x))

series27.0ms (0.9%)

Counts

4 → 18

Calls

4 calls:

10.0ms	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
8.0ms	(+.f64 (.f64 6 (.f64 y z)) x)
4.0ms	(.f64 6 (.f64 z x))
4.0ms	(.f64 6 (.f64 y z))

rewrite80.0ms (2.6%)

Algorithm

2×	batch-egg-rewrite

Rules

229× egg-rr

Counts

4 → 229

Calls

2 calls:

73.0ms	((.f64 6 (.f64 z x)) (.f64 6 (.f64 y z)) (+.f64 (.f64 6 (.f64 y z)) x) (-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x))))
0.0ms	()

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 (1.7%)

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 → 238

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 (6.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	235	3	238
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	238	4	242

Error

Counts

242 → 4

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
	27.6b	(-.f64 (/.f64 (-.f64 (.f64 36 (pow.f64 (.f64 z y) 2)) (.f64 x x)) (-.f64 (.f64 6 (.f64 z y)) x)) (.f64 6 (*.f64 z x)))
	0.2b	(fma.f64 (.f64 -6 z) x (fma.f64 6 (.f64 z y) x))
▶	0.1b	(-.f64 (fma.f64 y (.f64 6 z) x) (.f64 6 (*.f64 z x)))

Compiler

Compiled 5219 to 2645 computations (49.3% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 y (.f64 6 z) x) (.f64 6 (*.f64 z x)))
✓	0.1b	(fma.f64 y (*.f64 6 z) x)
	0.3b	(.f64 6 (.f64 z x))

series16.0ms (0.5%)

Counts

2 → 72

Calls

2 calls:

10.0ms	(-.f64 (fma.f64 y (.f64 6 z) x) (.f64 6 (*.f64 z x)))
6.0ms	(fma.f64 y (*.f64 6 z) x)

rewrite75.0ms (2.5%)

Algorithm

2×	batch-egg-rewrite

Rules

137× egg-rr

Counts

2 → 137

Calls

2 calls:

67.0ms	((fma.f64 y (.f64 6 z) x) (-.f64 (fma.f64 y (.f64 6 z) x) (.f64 6 (.f64 z x))))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	216	25
2	2678	25
3	5024	25
0	0	0
1	0	0

simplify72.0ms (2.4%)

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

209 → 150

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	786
1	82	678
2	180	672
3	367	618
4	635	618
5	1001	618
6	1279	618
7	1320	618
8	1324	618
9	1324	618
10	1251	618

prune131.0ms (4.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	163	4	167

Error

Counts

167 → 4

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
	27.6b	(-.f64 (/.f64 (-.f64 (.f64 36 (pow.f64 (.f64 z y) 2)) (.f64 x x)) (-.f64 (.f64 6 (.f64 z y)) x)) (.f64 6 (*.f64 z x)))
▶	0.2b	(fma.f64 (.f64 -6 z) x (fma.f64 6 (.f64 z y) x))
✓	0.1b	(-.f64 (fma.f64 y (.f64 6 z) x) (.f64 6 (*.f64 z x)))

Compiler

Compiled 4828 to 2665 computations (44.8% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (.f64 -6 z) x (fma.f64 6 (.f64 z y) x))
✓	0.1b	(fma.f64 6 (*.f64 z y) x)

series19.0ms (0.6%)

Counts

2 → 72

Calls

2 calls:

10.0ms	(fma.f64 (.f64 -6 z) x (fma.f64 6 (.f64 z y) x))
8.0ms	(fma.f64 6 (*.f64 z y) x)

rewrite46.0ms (1.5%)

Algorithm

2×	batch-egg-rewrite

Rules

47× egg-rr

Counts

2 → 47

Calls

2 calls:

45.0ms	((fma.f64 6 (.f64 z y) x) (fma.f64 (.f64 -6 z) x (fma.f64 6 (*.f64 z y) x)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	200	23
2	2197	23
3	5364	23
0	0	0
1	0	0

simplify70.0ms (2.3%)

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

119 → 60

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	786
1	82	678
2	180	672
3	367	618
4	635	618
5	1001	618
6	1279	618
7	1320	618
8	1324	618
9	1324	618
10	1251	618

prune40.0ms (1.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	60	4	64

Error

Counts

64 → 4

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
	27.6b	(-.f64 (/.f64 (-.f64 (.f64 36 (pow.f64 (.f64 z y) 2)) (.f64 x x)) (-.f64 (.f64 6 (.f64 z y)) x)) (.f64 6 (*.f64 z x)))
✓	0.2b	(fma.f64 (.f64 -6 z) x (fma.f64 6 (.f64 z y) x))
✓	0.1b	(-.f64 (fma.f64 y (.f64 6 z) x) (.f64 6 (*.f64 z x)))

Compiler

Compiled 984 to 556 computations (43.5% saved)

regimes196.0ms (6.5%)

Accuracy

Total 0.2b remaining (94.2%)

Threshold costs 0.2b (94.2%)

Counts

52 → 1

Compiler

Compiled 3360 to 2262 computations (32.7% 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

end63.0ms (2.1%)

Compiler: Compiled 90 to 58 computations (35.6% saved)

Details

analyze436.0ms (14.3%)

sample1.3s (42%)

simplify52.0ms (1.7%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series15.0ms (0.5%)

rewrite49.0ms (1.6%)

simplify67.0ms (2.2%)

prune39.0ms (1.3%)

localize7.0ms (0.2%)

series27.0ms (0.9%)

rewrite80.0ms (2.6%)

simplify53.0ms (1.7%)

prune186.0ms (6.1%)

localize8.0ms (0.3%)

series16.0ms (0.5%)

rewrite75.0ms (2.5%)

simplify72.0ms (2.4%)

prune131.0ms (4.3%)

localize7.0ms (0.2%)

series19.0ms (0.6%)

rewrite46.0ms (1.5%)

simplify70.0ms (2.3%)

prune40.0ms (1.3%)

regimes196.0ms (6.5%)

simplify3.0ms (0.1%)

end63.0ms (2.1%)

Profiling