Details

analyze9.0ms (0.5%)

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)

sample1.0s (51.8%)

Results

894.0ms

8256×

body

128

valid

Compiler

Compiled 56 to 44 computations (21.4% saved)

simplify105.0ms (5.3%)

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 (0.2%)

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	(-.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)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(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)
✓	16.6b	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series9.0ms (0.4%)

Counts

4 → 48

Calls

4 calls:

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

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
12×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
6×	`add-cbrt-cube_binary64`

Counts

4 → 59

Calls

4 calls:

2.0ms	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
0.0ms	(fma.f64 x 27061/100000 230753/100000)
0.0ms	(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
0.0ms	(fma.f64 x 4481/100000 99229/100000)

simplify81.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

496×	`fma-def_binary64`
477×	`associate-l_binary64`
447×	`fma-neg_binary64`
424×	`distribute-rgt-in_binary64`
411×	`distribute-lft-in_binary64`

Counts

107 → 100

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1537
1	235	1385
2	582	1380
3	1485	1370
4	4572	1370
5	4900	1370

prune115.0ms (5.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	98	3	101

Error

Counts

101 → 3

Alt Table

Status	Error	Program
	0.5b	(-.f64 x (/.f64 (*.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000))) (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)))))
▶	0.3b	(-.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 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

Compiler

Compiled 2004 to 1510 computations (24.7% saved)

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(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)
	16.6b	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

prune104.0ms (5.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	101	2	103

Error

Counts

103 → 2

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)))
▶	0.5b	(-.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)))))

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)))

▶

0.5b

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

Compiler

Compiled 2142 to 1662 computations (22.4% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)))))
✓	0.0b	(log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)))
✓	0.1b	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))
	0.2b	(fma.f64 x 27061/100000 230753/100000)

series9.0ms (0.5%)

Counts

3 → 36

Calls

3 calls:

4.0ms

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

3.0ms

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

2.0ms

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

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
21×	`add-sqr-sqrt_binary64`
19×	`add-cube-cbrt_binary64`
9×	`prod-diff_binary64`
9×	`times-frac_binary64`

Counts

3 → 71

Calls

3 calls:

3.0ms

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

2.0ms

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

0.0ms

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

simplify131.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

867×	`fma-neg_binary64`
434×	`associate-l_binary64`
411×	`fma-def_binary64`
357×	`associate-r_binary64`
282×	`sub-neg_binary64`

Counts

107 → 133

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	191	2196
1	403	1884
2	1107	1747
3	3857	1716
4	4579	1703
5	4857	1703
6	4807	1703

prune132.0ms (6.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	148	2	150

Error

Counts

150 → 2

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)))
✓	0.5b	(-.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)))))

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)))

✓

0.5b

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

Compiler

Compiled 3333 to 2635 computations (20.9% saved)

regimes149.0ms (7.5%)

Accuracy

Total 0.0b remaining (11.5%)

Threshold costs 0.0b (11.5%)

Counts

81 → 1

Compiler

Compiled 2248 to 1744 computations (22.4% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
7×	`*-commutative_binary64`
5×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	25	25
2	31	25
3	40	25
4	53	25
5	58	25
6	61	25
7	62	25
8	59	25

end55.0ms (2.8%)

Compiler: Compiled 65 to 50 computations (23.1% saved)

Details

analyze9.0ms (0.5%)

sample1.0s (51.8%)

simplify105.0ms (5.3%)

prune3.0ms (0.2%)

localize10.0ms (0.5%)

series9.0ms (0.4%)

rewrite6.0ms (0.3%)

simplify81.0ms (4.1%)

prune115.0ms (5.8%)

localize12.0ms (0.6%)

prune104.0ms (5.3%)

localize11.0ms (0.5%)

series9.0ms (0.5%)

rewrite10.0ms (0.5%)

simplify131.0ms (6.6%)

prune132.0ms (6.7%)

regimes149.0ms (7.5%)

simplify4.0ms (0.2%)

end55.0ms (2.8%)

Profiling