Details

analyze624.0ms (16.4%)

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)

sample2.6s (69.1%)

Symmetry

(sort d2 d3)

Results

2.4s	8256×	body	128	valid
156.0ms	672×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify13.0ms (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

prune5.0ms (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 (.f64 d1 d2) (.f64 d1 d3))
▶	0.0b	(*.f64 d1 (+.f64 d2 d3))

Compiler

Compiled 51 to 30 computations (41.2% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series14.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

14.0ms

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

rewrite60.0ms (1.6%)

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 → 26

Calls

1 calls:

59.0ms

(*.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

simplify18.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Counts

50 → 31

Iterations

Useful iterations: 1 (0.0ms)

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

prune34.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Error

Counts

33 → 2

Alt Table

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

Compiler

Compiled 330 to 122 computations (63% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series15.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

14.0ms

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

rewrite110.0ms (2.9%)

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:

109.0ms

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

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

simplify22.0ms (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 → 34

Iterations

Useful iterations: 0 (0.0ms)

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

prune43.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	34	2	36

Error

Counts

36 → 2

Alt Table

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

Compiler

Compiled 351 to 115 computations (67.2% saved)

regimes111.0ms (2.9%)

Accuracy

Total 0.0b remaining (63.8%)

Threshold costs 0.0b (63.8%)

Counts

12 → 1

Compiler

Compiled 668 to 390 computations (41.6% saved)

simplify4.0ms (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

end83.0ms (2.2%)

Remove: (sort d2 d3)
Compiler: Compiled 53 to 30 computations (43.4% saved)

Details

analyze624.0ms (16.4%)

sample2.6s (69.1%)

simplify13.0ms (0.4%)

prune5.0ms (0.1%)

localize8.0ms (0.2%)

series14.0ms (0.4%)

rewrite60.0ms (1.6%)

simplify18.0ms (0.5%)

prune34.0ms (0.9%)

localize10.0ms (0.3%)

series15.0ms (0.4%)

rewrite110.0ms (2.9%)

simplify22.0ms (0.6%)

prune43.0ms (1.1%)

regimes111.0ms (2.9%)

simplify4.0ms (0.1%)

end83.0ms (2.2%)

Profiling