Details

analyze320.0ms (20%)

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%	56.2%	3.3%	9
46.8%	46%	7.2%	10
58.5%	32.8%	8.7%	11
60.8%	27.9%	11.3%	12
63.8%	22.4%	13.8%	13
69.1%	16.5%	14.4%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample791.0ms (49.5%)

Symmetry

(sort d2 d3)

Results

700.0ms	8256×	body	128	valid
61.0ms	705×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-lft-out_binary64`
1×	`distribute-rgt-out_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	13	7
2	18	7
3	18	7

prune4.0ms (0.2%)

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 d3))
▶	0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 51 to 30 computations (41.2% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

6.0ms

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

rewrite42.0ms (2.6%)

Algorithm

2×	batch-egg-rewrite

Rules

774×	`log1p-expm1-u_binary64`
774×	`expm1-log1p-u_binary64`
142×	`log1p-udef_binary64`
78×	`add-sqr-sqrt_binary64`
72×	`add-log-exp_binary64`

Counts

1 → 43

Calls

1 calls:

41.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	151	7
2	1967	7
3	4973	7
0	0	0
1	0	0

simplify10.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-lft-in_binary64`
1×	`distribute-rgt-in_binary64`

Counts

79 → 47

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	234
1	15	234
2	18	234
3	18	234

prune22.0ms (1.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	47	2	49

Error

Counts

49 → 2

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 d1 d3 (*.f64 d1 d2))
	0.0b	(*.f64 d1 (+.f64 d2 d3))

Compiler

Compiled 604 to 207 computations (65.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

7.0ms

(fma.f64 d1 d3 (*.f64 d1 d2))

rewrite91.0ms (5.7%)

Algorithm

2×	batch-egg-rewrite

Rules

525×	`log1p-expm1-u_binary64`
525×	`expm1-log1p-u_binary64`
306×	`fma-def_binary64`
296×	`log-prod_binary64`
176×	`prod-diff_binary64`

Counts

1 → 30

Calls

1 calls:

91.0ms

(fma.f64 d1 d3 (*.f64 d1 d2))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	118	7
2	1374	7
3	4895	7
4	4938	7
5	5165	7
0	0	0
1	0	0

simplify10.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-lft-in_binary64`
1×	`distribute-rgt-in_binary64`

Counts

66 → 35

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	234
1	15	234
2	18	234
3	18	234

prune12.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Error

Counts

37 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 d1 d3 (*.f64 d1 d2))
▶	0.0b	(*.f64 d1 (+.f64 d2 d3))

Compiler

Compiled 364 to 122 computations (66.5% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

5.0ms

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

rewrite40.0ms (2.5%)

Algorithm

2×	batch-egg-rewrite

Rules

725×	`log1p-expm1-u_binary64`
725×	`expm1-log1p-u_binary64`
682×	`prod-diff_binary64`
71×	`add-sqr-sqrt_binary64`
66×	`add-log-exp_binary64`

Counts

1 → 27

Calls

1 calls:

39.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	134	7
2	1788	7
3	5710	7
0	0	0
1	0	0

simplify9.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
4×	`fma-def_binary64`
2×	`+-commutative_binary64`
2×	`distribute-rgt-out_binary64`

Counts

51 → 32

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	168
1	11	150
2	18	150
3	18	150
4	18	150

prune10.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	32	2	34

Error

Counts

34 → 2

Alt Table

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

Compiler

Compiled 326 to 117 computations (64.1% saved)

regimes37.0ms (2.3%)

Accuracy

Total 0.0b remaining (54.6%)

Threshold costs 0.0b (54.6%)

Counts

9 → 1

Compiler

Compiled 524 to 298 computations (43.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

end163.0ms (10.2%)

Compiler: Compiled 53 to 30 computations (43.4% saved)

Details

analyze320.0ms (20%)

sample791.0ms (49.5%)

simplify6.0ms (0.4%)

prune4.0ms (0.2%)

localize4.0ms (0.3%)

series6.0ms (0.4%)

rewrite42.0ms (2.6%)

simplify10.0ms (0.6%)

prune22.0ms (1.4%)

localize4.0ms (0.2%)

series7.0ms (0.4%)

rewrite91.0ms (5.7%)

simplify10.0ms (0.6%)

prune12.0ms (0.7%)

localize3.0ms (0.2%)

series6.0ms (0.3%)

rewrite40.0ms (2.5%)

simplify9.0ms (0.6%)

prune10.0ms (0.6%)

regimes37.0ms (2.3%)

simplify2.0ms (0.1%)

end163.0ms (10.2%)

Profiling