Details

analyze90.0ms (5.9%)

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
25%	62.4%	12.6%	6
25%	40.6%	34.4%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample774.0ms (50.5%)

Results

745.0ms	8256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify9.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
6×	`+-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	17	11
2	34	11
3	42	11

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 41 to 23 computations (43.9% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

6.0ms

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

rewrite40.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`log1p-expm1-u_binary64`
689×	`expm1-log1p-u_binary64`
176×	`prod-diff_binary64`
133×	`expm1-udef_binary64`
133×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	150	11
2	1849	11

Stop Event

1×	node limit

Counts

1 → 23

Calls

1 calls:

40.0ms

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

simplify58.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

632×	`sqr-pow_binary64`
502×	`fma-def_binary64`
422×	`associate-l_binary64`
288×	`cube-prod_binary64`
285×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	300
1	24	214
2	54	214
3	89	214
4	190	214
5	472	214
6	1645	214
7	2318	214
8	2638	214
9	2898	214
10	3237	214
11	3719	214
12	4378	214

Stop Event

1×	node limit

Counts

47 → 33

prune19.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Error

Counts

34 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x (+.f64 x 2) (*.f64 y y))
▶	30.1b	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 x 2)) (.f64 x (+.f64 x 2))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))

Compiler

Compiled 438 to 248 computations (43.4% saved)

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
✓	0.1b	(.f64 (.f64 x (+.f64 x 2)) (*.f64 x (+.f64 x 2)))
✓	0.4b	(-.f64 (.f64 (.f64 x (+.f64 x 2)) (*.f64 x (+.f64 x 2))) (pow.f64 y 4))
✓	28.6b	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 x 2)) (.f64 x (+.f64 x 2))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))

series61.0ms (4%)

Counts

4 → 84

Calls

4 calls:

34.0ms	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 x 2)) (.f64 x (+.f64 x 2))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))
16.0ms	(-.f64 (.f64 (.f64 x (+.f64 x 2)) (*.f64 x (+.f64 x 2))) (pow.f64 y 4))
7.0ms	(-.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
3.0ms	(.f64 (.f64 x (+.f64 x 2)) (*.f64 x (+.f64 x 2)))

rewrite75.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

263×	`log1p-udef_binary64`
162×	`egg-rr`
151×	`log1p-expm1-u_binary64`
151×	`expm1-log1p-u_binary64`
150×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	70
1	319	50
2	4674	50

Stop Event

1×	node limit

Counts

4 → 162

Calls

4 calls:

72.0ms	(-.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
72.0ms	(.f64 (.f64 x (+.f64 x 2)) (*.f64 x (+.f64 x 2)))
72.0ms	(-.f64 (.f64 (.f64 x (+.f64 x 2)) (*.f64 x (+.f64 x 2))) (pow.f64 y 4))
72.0ms	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 x 2)) (.f64 x (+.f64 x 2))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))

simplify41.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

611×	`fma-def_binary64`
541×	`associate-/l*_binary64`
374×	`associate-l_binary64`
369×	`associate-/r*_binary64`
332×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	1908
1	293	1589
2	1255	1524

Stop Event

1×	node limit

Counts

246 → 203

prune140.0ms (9.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	203	0	203
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	203	2	205

Error

Counts

205 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x (+.f64 x 2) (*.f64 y y))
✓	30.1b	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 x 2)) (.f64 x (+.f64 x 2))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))

Compiler

Compiled 6251 to 3975 computations (36.4% saved)

regimes158.0ms (10.4%)

Accuracy

Total 0.0b remaining (16.5%)

Threshold costs 0.0b (16.5%)

Counts

30 → 1

Compiler

Compiled 2902 to 2044 computations (29.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	8	11

Stop Event

1×

saturated

end43.0ms (2.8%)

Compiler: Compiled 57 to 36 computations (36.8% saved)

Details

analyze90.0ms (5.9%)

sample774.0ms (50.5%)

simplify9.0ms (0.6%)

prune3.0ms (0.2%)

localize4.0ms (0.3%)

series6.0ms (0.4%)

rewrite40.0ms (2.6%)

simplify58.0ms (3.8%)

prune19.0ms (1.2%)

localize9.0ms (0.6%)

series61.0ms (4%)

rewrite75.0ms (4.9%)

simplify41.0ms (2.7%)

prune140.0ms (9.1%)

regimes158.0ms (10.4%)

simplify2.0ms (0.1%)

end43.0ms (2.8%)

Profiling