Details

analyze476.0ms (18.7%)

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)

sample931.0ms (36.6%)

Results

846.0ms	8256×	body	128	valid
68.0ms	611×	body	128	invalid

Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess63.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

1322×	`fma-neg_binary64`
1043×	`fma-def_binary64`
254×	`unsub-neg_binary64`
236×	`distribute-rgt-in_binary64`
145×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	52
1	47	44
2	116	44
3	276	44
4	666	44
5	1268	44
6	2428	44
7	3868	44
8	4074	44
9	4119	44
10	4119	44
0	3	3

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify42.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

780×	`fma-def_binary64`
515×	`fma-neg_binary64`
141×	`cancel-sign-sub-inv_binary64`
122×	`distribute-rgt-in_binary64`
106×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	16	11
2	37	11
3	93	11
4	218	11
5	415	11
6	601	11
7	952	11
8	1570	11
9	2157	11
10	2614	11
11	2678	11
12	2680	11
13	2680	11

Stop Event

1×

saturated

Counts

1 → 2

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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.6b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
▶	0.1b	(fma.f64 6 (*.f64 (-.f64 y x) z) x)

Compiler

Compiled 66 to 41 computations (37.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series17.0ms (0.7%)

Counts

2 → 72

Calls

18 calls:

3.0ms	(*.f64 (-.f64 y x) z)	z	-inf
1.0ms	(fma.f64 6 (*.f64 (-.f64 y x) z) x)	y	-inf
1.0ms	(fma.f64 6 (*.f64 (-.f64 y x) z) x)	y	inf
1.0ms	(fma.f64 6 (*.f64 (-.f64 y x) z) x)	x	inf
1.0ms	(fma.f64 6 (*.f64 (-.f64 y x) z) x)	x	-inf

rewrite47.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`log1p-expm1-u_binary64`
848×	`expm1-log1p-u_binary64`
418×	`prod-diff_binary64`
88×	`add-sqr-sqrt_binary64`
83×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	171	18
2	2212	18

Stop Event

1×	node limit

Counts

2 → 44

simplify58.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

572×	`fma-def_binary64`
520×	`fma-neg_binary64`
107×	`cancel-sign-sub-inv_binary64`
101×	`associate-l_binary64`
87×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	861
1	96	663
2	227	657
3	506	603
4	1028	603
5	1781	603
6	2171	603
7	2292	603
8	2296	603
9	2296	603

Stop Event

1×

saturated

Counts

116 → 63

prune42.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	62	3	65

Error

0.0b

Counts

65 → 3

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 6 (-.f64 (.f64 y z) (.f64 z x)) x)
	0.6b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
	0.2b	(fma.f64 (*.f64 z -6) (-.f64 x y) x)

Compiler

Compiled 806 to 381 computations (52.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series17.0ms (0.7%)

Counts

2 → 54

Calls

18 calls:

2.0ms	(fma.f64 6 (-.f64 (.f64 y z) (.f64 z x)) x)	x	0
1.0ms	(fma.f64 6 (-.f64 (.f64 y z) (.f64 z x)) x)	y	-inf
1.0ms	(fma.f64 6 (-.f64 (.f64 y z) (.f64 z x)) x)	y	0
1.0ms	(fma.f64 6 (-.f64 (.f64 y z) (.f64 z x)) x)	y	inf
1.0ms	(fma.f64 6 (-.f64 (.f64 y z) (.f64 z x)) x)	x	-inf

rewrite61.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

502×	`log-prod_binary64`
426×	`fma-def_binary64`
209×	`egg-rr`
207×	`fma-neg_binary64`
183×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	202	18
2	2666	18

Stop Event

1×	node limit

Counts

2 → 209

simplify55.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

576×	`fma-def_binary64`
490×	`fma-neg_binary64`
90×	`distribute-rgt-in_binary64`
85×	`associate-l_binary64`
74×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	645
1	99	537
2	242	531
3	544	477
4	1054	477
5	1712	477
6	2088	477
7	2204	477
8	2205	477
9	2205	477

Stop Event

1×

saturated

Counts

263 → 226

prune123.0ms (4.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	226	0	226
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	226	3	229

Error

0.0b

Counts

229 → 3

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 6 (-.f64 (.f64 y z) (.f64 z x)) x)
	0.6b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
▶	0.2b	(fma.f64 (*.f64 z -6) (-.f64 x y) x)

Compiler

Compiled 4345 to 1295 computations (70.2% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.3%)

Counts

1 → 36

Calls

9 calls:

1.0ms	(fma.f64 (*.f64 z -6) (-.f64 x y) x)	x	-inf
1.0ms	(fma.f64 (*.f64 z -6) (-.f64 x y) x)	x	inf
1.0ms	(fma.f64 (*.f64 z -6) (-.f64 x y) x)	y	inf
1.0ms	(fma.f64 (*.f64 z -6) (-.f64 x y) x)	y	-inf
1.0ms	(fma.f64 (*.f64 z -6) (-.f64 x y) x)	x	0

rewrite50.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

846×	`log1p-expm1-u_binary64`
846×	`expm1-log1p-u_binary64`
433×	`prod-diff_binary64`
88×	`add-sqr-sqrt_binary64`
83×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	171	11
2	2207	11

Stop Event

1×	node limit

Counts

1 → 23

simplify49.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

739×	`fma-def_binary64`
517×	`fma-neg_binary64`
106×	`cancel-sign-sub-inv_binary64`
96×	`associate-l_binary64`
95×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	531
1	82	423
2	205	417
3	480	363
4	967	363
5	1690	363
6	2237	363
7	2474	363
8	2478	363
9	2478	363

Stop Event

1×

saturated

Counts

59 → 34

prune17.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	34	3	37

Error

0.0b

Counts

37 → 3

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 6 (-.f64 (.f64 y z) (.f64 z x)) x)
▶	0.6b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
✓	0.2b	(fma.f64 (*.f64 z -6) (-.f64 x y) x)

Compiler

Compiled 458 to 252 computations (45% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
✓	0.0b	(*.f64 (-.f64 y x) 6)
✓	0.7b	(.f64 (.f64 (-.f64 y x) 6) z)

series24.0ms (0.9%)

Counts

3 → 96

Calls

24 calls:

4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))	z	-inf
1.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))	x	-inf
1.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))	x	inf
1.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))	y	-inf
1.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))	y	0

rewrite55.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

513×	`log-prod_binary64`
404×	`fma-def_binary64`
190×	`fma-neg_binary64`
189×	`expm1-udef_binary64`
189×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	201	28
2	2829	28

Stop Event

1×	node limit

Counts

3 → 103

simplify70.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

647×	`fma-def_binary64`
516×	`fma-neg_binary64`
103×	`cancel-sign-sub-inv_binary64`
98×	`associate-l_binary64`
95×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	1119
1	98	915
2	236	909
3	524	855
4	1009	855
5	1721	855
6	2131	855
7	2362	855
8	2366	855
9	2366	855

Stop Event

1×

saturated

Counts

199 → 122

prune74.0ms (2.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	121	4	125

Error

Counts

125 → 4

Alt Table

Status	Error	Program
✓	0.2b	(fma.f64 (*.f64 z -6) (-.f64 x y) x)
	0.6b	(+.f64 x (.f64 (fma.f64 y 6 (.f64 (neg.f64 x) 6)) z))
✓	0.1b	(fma.f64 6 (-.f64 (.f64 y z) (.f64 z x)) x)
	29.4b	(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (.f64 (-.f64 y x) 6)) x)

Compiler

Compiled 1796 to 945 computations (47.4% saved)

regimes180.0ms (7.1%)

Accuracy

Total 0.2b remaining (92%)

Threshold costs 0.2b (92%)

Counts

44 → 1

Compiler

Compiled 2028 to 1390 computations (31.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	16	14
2	28	14
3	34	14
4	38	14
5	39	14

Stop Event

1×

saturated

end59.0ms (2.3%)

Stop Event

1×

fuel

Compiler

Compiled 79 to 50 computations (36.7% saved)

Details

analyze476.0ms (18.7%)

sample931.0ms (36.6%)

preprocess63.0ms (2.5%)

simplify42.0ms (1.6%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series17.0ms (0.7%)

rewrite47.0ms (1.9%)

simplify58.0ms (2.3%)

prune42.0ms (1.6%)

localize6.0ms (0.2%)

series17.0ms (0.7%)

rewrite61.0ms (2.4%)

simplify55.0ms (2.1%)

prune123.0ms (4.8%)

localize5.0ms (0.2%)

series8.0ms (0.3%)

rewrite50.0ms (2%)

simplify49.0ms (1.9%)

prune17.0ms (0.7%)

localize5.0ms (0.2%)

series24.0ms (0.9%)

rewrite55.0ms (2.2%)

simplify70.0ms (2.7%)

prune74.0ms (2.9%)

regimes180.0ms (7.1%)

simplify3.0ms (0.1%)

end59.0ms (2.3%)

Profiling