Details

analyze10.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 19 to 15 computations (21.1% saved)

sample974.0ms (38.6%)

Results

844.0ms

8256×

body

128

valid

Compiler

Compiled 56 to 44 computations (21.4% saved)

simplify110.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1041×	`fma-neg_binary64`
807×	`times-frac_binary64`
600×	`associate-/r/_binary64`
564×	`sub-neg_binary64`
392×	`div-sub_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	25	19
2	45	19
3	72	19
4	115	19
5	188	19
6	308	19
7	491	19
8	989	19
9	1283	19
10	3056	19
11	4408	19
12	4532	19
13	4794	19
14	4959	19
15	4564	19

prune3.0ms (0.1%)

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	(-.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

Compiler

Compiled 62 to 46 computations (25.8% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
✓	0.2b	(fma.f64 x 4481/100000 99229/100000)
✓	0.2b	(fma.f64 x 27061/100000 230753/100000)
✓	15.9b	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series10.0ms (0.4%)

Counts

4 → 48

Calls

4 calls:

3.0ms	(fma.f64 x 27061/100000 230753/100000)
3.0ms	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
2.0ms	(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
1.0ms	(fma.f64 x 4481/100000 99229/100000)

rewrite68.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`unpow-prod-down_binary64`
418×	`log-prod_binary64`
268×	`pow2_binary64`
188×	`expm1-udef_binary64`
188×	`log1p-udef_binary64`

Counts

4 → 165

Calls

4 calls:

65.0ms	(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
65.0ms	(fma.f64 x 4481/100000 99229/100000)
65.0ms	(fma.f64 x 27061/100000 230753/100000)
65.0ms	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	225	35
2	2451	35
3	5654	35

simplify92.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

934×	`fma-neg_binary64`
739×	`cancel-sign-sub-inv_binary64`
417×	`times-frac_binary64`
305×	`fma-def_binary64`
239×	`neg-mul-1_binary64`

Counts

213 → 197

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	459
1	130	417
2	295	389
3	716	369
4	2068	369
5	4656	369
6	4991	369
7	4998	369
8	4919	369

prune203.0ms (8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	195	2	197
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	196	2	198

Error

Counts

198 → 2

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
	0.0b	(-.f64 x (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000))) 2) -1) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))

Status

Error

Program

▶

0.0b

(-.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))

0.0b

(-.f64 x (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000))) 2) -1) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))

Compiler

Compiled 4293 to 3341 computations (22.2% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
	0.2b	(fma.f64 x 4481/100000 99229/100000)
	0.2b	(fma.f64 x 27061/100000 230753/100000)
	15.9b	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

prune217.0ms (8.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	197	2	199

Error

Counts

199 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
▶	0.0b	(-.f64 x (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000))) 2) -1) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))

Status

Error

Program

✓

0.0b

(-.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))

▶

0.0b

(-.f64 x (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000))) 2) -1) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))

Compiler

Compiled 4670 to 3722 computations (20.3% saved)

localize25.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000)))
✓	0.3b	(cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
✓	15.9b	(/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000))
	15.9b	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series12.0ms (0.5%)

Counts

3 → 36

Calls

3 calls:

5.0ms

(cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000)))

5.0ms

(cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

2.0ms

(/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000))

rewrite71.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`log-prod_binary64`
231×	`expm1-udef_binary64`
231×	`log1p-udef_binary64`
196×	`log-pow_binary64`
132×	`add-sqr-sqrt_binary64`

Counts

3 → 101

Calls

3 calls:

68.0ms

(cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000)))

68.0ms

(cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

68.0ms

(/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	282	52
2	3092	52
3	5079	52

simplify112.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1050×	`fma-neg_binary64`
478×	`fma-def_binary64`
371×	`sub-neg_binary64`
260×	`associate-r_binary64`
245×	`associate-l_binary64`

Counts

137 → 156

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	136	1121
1	400	999
2	1102	812
3	3810	609
4	4512	605
5	4659	605
6	4925	605
7	4841	605

prune340.0ms (13.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	236	0	236
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	236	2	238

Error

Counts

238 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
✓	0.0b	(-.f64 x (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000))) 2) -1) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))

Status

Error

Program

✓

0.0b

(-.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))

✓

0.0b

(-.f64 x (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000))) 2) -1) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))

Compiler

Compiled 9713 to 7875 computations (18.9% saved)

regimes169.0ms (6.7%)

Accuracy

Total 0.0b remaining (73.8%)

Threshold costs 0.0b (73.8%)

Counts

73 → 1

Compiler

Compiled 2692 to 2102 computations (21.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	18	23
2	22	23
3	24	23
4	25	23
5	24	23

end83.0ms (3.3%)

Compiler: Compiled 85 to 66 computations (22.4% saved)

Details

analyze10.0ms (0.4%)

sample974.0ms (38.6%)

simplify110.0ms (4.3%)

prune3.0ms (0.1%)

localize9.0ms (0.4%)

series10.0ms (0.4%)

rewrite68.0ms (2.7%)

simplify92.0ms (3.6%)

prune203.0ms (8%)

localize14.0ms (0.5%)

prune217.0ms (8.6%)

localize25.0ms (1%)

series12.0ms (0.5%)

rewrite71.0ms (2.8%)

simplify112.0ms (4.4%)

prune340.0ms (13.5%)

regimes169.0ms (6.7%)

simplify3.0ms (0.1%)

end83.0ms (3.3%)

Profiling