Details

analyze432.0ms (13.7%)

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
37.4%	62.4%	0.1%	8
40.6%	56.9%	2.5%	9
45.2%	50.7%	4%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	11%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample1.5s (48.8%)

Symmetry

(sort d2 d3)

Results

1.4s	8222×	body	128	valid
67.0ms	661×	body	128	invalid
3.0ms	14×	body	512	valid
2.0ms	8×	body	1024	valid
2.0ms	12×	body	256	valid

Compiler

Compiled 50 to 35 computations (30% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

114×	`fma-def_binary64`
61×	`associate-+l+_binary64`
40×	`associate-+r+_binary64`
34×	`distribute-lft-out_binary64`
33×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	21	14
2	50	10
3	125	10
4	216	10
5	237	10
6	249	10
7	235	10

prune4.0ms (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
▶	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
	0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

Compiler

Compiled 75 to 51 computations (32% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

series8.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

7.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

rewrite78.0ms (2.5%)

Algorithm

2×	batch-egg-rewrite

Rules

855×	`prod-diff_binary64`
347×	`fma-def_binary64`
233×	`fma-neg_binary64`
173×	`expm1-udef_binary64`
173×	`log1p-udef_binary64`

Counts

1 → 60

Calls

1 calls:

76.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	187	10
2	2536	10
3	4916	10
4	4965	10
0	0	0
1	0	0

simplify15.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

27×	`fma-def_binary64`
9×	`+-commutative_binary64`
8×	`*-commutative_binary64`
5×	`distribute-rgt-in_binary64`
4×	`associate-+r+_binary64`

Counts

96 → 70

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	330
1	39	330
2	59	330
3	67	330
4	67	330

prune47.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	70	2	72

Error

Counts

72 → 2

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 d1 d2 (*.f64 d1 (+.f64 d3 37)))
	23.4b	(/.f64 (.f64 (-.f64 (.f64 d2 d2) (pow.f64 (+.f64 d3 37) 2)) d1) (-.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 923 to 497 computations (46.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d3 37))
✓	0.0b	(fma.f64 d1 d2 (*.f64 d1 (+.f64 d3 37)))

series13.0ms (0.4%)

Counts

2 → 60

Calls

2 calls:

8.0ms	(fma.f64 d1 d2 (*.f64 d1 (+.f64 d3 37)))
5.0ms	(*.f64 d1 (+.f64 d3 37))

rewrite51.0ms (1.6%)

Algorithm

2×	batch-egg-rewrite

Rules

869×	`log1p-expm1-u_binary64`
869×	`expm1-log1p-u_binary64`
385×	`prod-diff_binary64`
91×	`add-sqr-sqrt_binary64`
85×	`add-log-exp_binary64`

Counts

2 → 52

Calls

2 calls:

49.0ms	(*.f64 d1 (+.f64 d3 37))
49.0ms	(fma.f64 d1 d2 (*.f64 d1 (+.f64 d3 37)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	176	17
2	2166	17
3	6008	17
0	0	0
1	0	0

simplify26.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

25×	`fma-def_binary64`
10×	`+-commutative_binary64`
7×	`*-commutative_binary64`
6×	`associate-+l+_binary64`
5×	`associate-+r+_binary64`

Counts

112 → 65

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	489
1	35	489
2	57	489
3	66	489
4	67	489
5	67	489

prune43.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	65	2	67

Error

Counts

67 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 d1 d2 (*.f64 d1 (+.f64 d3 37)))
▶	23.4b	(/.f64 (.f64 (-.f64 (.f64 d2 d2) (pow.f64 (+.f64 d3 37) 2)) d1) (-.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 809 to 475 computations (41.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 d3 37) 2)
✓	1.8b	(-.f64 (*.f64 d2 d2) (pow.f64 (+.f64 d3 37) 2))
✓	6.6b	(.f64 (-.f64 (.f64 d2 d2) (pow.f64 (+.f64 d3 37) 2)) d1)
✓	15.5b	(/.f64 (.f64 (-.f64 (.f64 d2 d2) (pow.f64 (+.f64 d3 37) 2)) d1) (-.f64 d2 (+.f64 d3 37)))

series151.0ms (4.8%)

Counts

4 → 108

Calls

4 calls:

111.0ms	(/.f64 (.f64 (-.f64 (.f64 d2 d2) (pow.f64 (+.f64 d3 37) 2)) d1) (-.f64 d2 (+.f64 d3 37)))
30.0ms	(.f64 (-.f64 (.f64 d2 d2) (pow.f64 (+.f64 d3 37) 2)) d1)
8.0ms	(-.f64 (*.f64 d2 d2) (pow.f64 (+.f64 d3 37) 2))
2.0ms	(pow.f64 (+.f64 d3 37) 2)

rewrite93.0ms (2.9%)

Algorithm

2×	batch-egg-rewrite

Rules

275×	`fma-neg_binary64`
268×	`expm1-udef_binary64`
268×	`log1p-udef_binary64`
150×	`add-sqr-sqrt_binary64`
148×	`log1p-expm1-u_binary64`

Counts

4 → 143

Calls

4 calls:

90.0ms	(pow.f64 (+.f64 d3 37) 2)
90.0ms	(-.f64 (*.f64 d2 d2) (pow.f64 (+.f64 d3 37) 2))
90.0ms	(.f64 (-.f64 (.f64 d2 d2) (pow.f64 (+.f64 d3 37) 2)) d1)
90.0ms	(/.f64 (.f64 (-.f64 (.f64 d2 d2) (pow.f64 (+.f64 d3 37) 2)) d1) (-.f64 d2 (+.f64 d3 37)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	303	46
2	4017	46
3	5038	46
0	0	0
1	0	0

simplify78.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

898×	`associate-/l*_binary64`
236×	`associate-/r/_binary64`
186×	`cancel-sign-sub-inv_binary64`
163×	`associate-+r+_binary64`
146×	`fma-neg_binary64`

Counts

251 → 206

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	2788
1	539	2388
2	2170	2268
3	5071	2268

prune152.0ms (4.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	206	2	208

Error

Counts

208 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 d1 d2 (*.f64 d1 (+.f64 d3 37)))
✓	23.4b	(/.f64 (.f64 (-.f64 (.f64 d2 d2) (pow.f64 (+.f64 d3 37) 2)) d1) (-.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 5289 to 3446 computations (34.8% saved)

regimes343.0ms (10.9%)

Accuracy

Total 0.0b remaining (56.5%)

Threshold costs 0.0b (56.5%)

Counts

79 → 1

Compiler

Compiled 5400 to 3774 computations (30.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	15	10
2	14	10

end50.0ms (1.6%)

Remove: (sort d2 d3)
Compiler: Compiled 71 to 49 computations (31% saved)

Details

analyze432.0ms (13.7%)

sample1.5s (48.8%)

simplify10.0ms (0.3%)

prune4.0ms (0.1%)

localize4.0ms (0.1%)

series8.0ms (0.2%)

rewrite78.0ms (2.5%)

simplify15.0ms (0.5%)

prune47.0ms (1.5%)

localize6.0ms (0.2%)

series13.0ms (0.4%)

rewrite51.0ms (1.6%)

simplify26.0ms (0.8%)

prune43.0ms (1.4%)

localize9.0ms (0.3%)

series151.0ms (4.8%)

rewrite93.0ms (2.9%)

simplify78.0ms (2.5%)

prune152.0ms (4.8%)

regimes343.0ms (10.9%)

simplify2.0ms (0.1%)

end50.0ms (1.6%)

Profiling