Details

analyze59.0ms (5.8%)

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
25%	74.9%	0.1%	5
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample699.0ms (67.8%)

Symmetry

(sort x y)

Results

655.0ms	8256×	body	128	valid
5.0ms	70×	body	128	invalid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify6.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`count-2_binary64`
3×	`associate-r_binary64`
2×	`fma-def_binary64`
1×	`distribute-lft-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	12	7
2	19	7
3	21	7
4	21	7

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.2b	(*.f64 x (+.f64 y y))

Compiler

Compiled 21 to 12 computations (42.9% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (+.f64 y y))

series9.0ms (0.8%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 x (+.f64 y y))

rewrite7.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-r_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`
3×	`distribute-lft-out_binary64`

Counts

1 → 33

Calls

1 calls:

5.0ms

(*.f64 x (+.f64 y y))

simplify63.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

528×	`fma-def_binary64`
428×	`associate-+l+_binary64`
408×	`associate-+r+_binary64`
367×	`associate-l_binary64`
334×	`distribute-rgt-in_binary64`

Counts

57 → 45

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	467
1	128	434
2	415	434
3	1091	434
4	2283	434
5	4295	434
6	4974	434

prune19.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	2	46

Error

Counts

46 → 2

Alt Table

Status	Error	Program
▶	0.0b	(.f64 2 (.f64 y x))
✓	0.2b	(*.f64 x (+.f64 y y))

Compiler

Compiled 473 to 176 computations (62.8% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (.f64 y x))

series5.0ms (0.5%)

Counts

1 → 0

Calls

1 calls:

5.0ms

(*.f64 2 (*.f64 y x))

rewrite4.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-l_binary64`
3×	`cbrt-unprod_binary64`

Counts

1 → 20

Calls

1 calls:

3.0ms

(*.f64 2 (*.f64 y x))

simplify77.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

880×	`fma-def_binary64`
435×	`distribute-rgt-out_binary64`
404×	`*-commutative_binary64`
400×	`associate-+l+_binary64`
369×	`associate-/r*_binary64`

Counts

20 → 21

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	210
1	84	174
2	255	174
3	650	174
4	830	174
5	989	174
6	1555	174
7	3414	174
8	4909	174
9	5081	174

prune12.0ms (1.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	21	2	23

Error

Counts

23 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 2 (.f64 y x))
✓	0.2b	(*.f64 x (+.f64 y y))

Compiler

Compiled 227 to 138 computations (39.2% saved)

regimes19.0ms (1.8%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Counts

2 → 1

Compiler

Compiled 92 to 58 computations (37% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

end44.0ms (4.2%)

Remove: (sort x y)
Compiler: Compiled 42 to 29 computations (31% saved)

Details

analyze59.0ms (5.8%)

sample699.0ms (67.8%)

simplify6.0ms (0.6%)

prune1.0ms (0.1%)

localize3.0ms (0.3%)

series9.0ms (0.8%)

rewrite7.0ms (0.6%)

simplify63.0ms (6.1%)

prune19.0ms (1.9%)

localize3.0ms (0.3%)

series5.0ms (0.5%)

rewrite4.0ms (0.4%)

simplify77.0ms (7.4%)

prune12.0ms (1.2%)

regimes19.0ms (1.8%)

simplify2.0ms (0.2%)

end44.0ms (4.2%)

Profiling