Details

analyze10.0ms (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)

sample992.0ms (53.9%)

Results

864.0ms

8256×

body

128

valid

Compiler

Compiled 56 to 44 computations (21.4% saved)

simplify107.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

1572×	`fma-neg_binary64`
1419×	`fma-def_binary64`
565×	`sub-neg_binary64`
397×	`div-sub_binary64`
395×	`distribute-rgt-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	31	19
2	50	19
3	71	19
4	84	19
5	103	19
6	137	19
7	208	19
8	304	19
9	493	19
10	931	19
11	1441	19
12	2503	19
13	3175	19
14	3604	19
15	4118	19
16	4302	19
17	4751	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 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)

Compiler

Compiled 62 to 46 computations (25.8% saved)

localize8.0ms (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))

series10.0ms (0.5%)

Counts

4 → 48

Calls

4 calls:

4.0ms	(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
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 4481/100000 99229/100000)
2.0ms	(fma.f64 x 27061/100000 230753/100000)

rewrite5.0ms (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 (fma.f64 x 4481/100000 99229/100000) 1)
0.0ms	(fma.f64 x 4481/100000 99229/100000)
0.0ms	(fma.f64 x 27061/100000 230753/100000)

simplify82.0ms (4.4%)

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

prune93.0ms (5.1%)

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
✓	0.0b	(-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)
	0.5b	(-.f64 (/.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)))) x)
▶	0.3b	(-.f64 (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) x)

Compiler

Compiled 2004 to 1510 computations (24.7% saved)

localize11.0ms (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))

prune121.0ms (6.6%)

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 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)
▶	0.5b	(-.f64 (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)))) x)

Status

Error

Program

✓

0.0b

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

▶

0.5b

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

Compiler

Compiled 2142 to 1662 computations (22.4% saved)

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(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)

series8.0ms (0.5%)

Counts

3 → 36

Calls

3 calls:

3.0ms

(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))

3.0ms

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

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

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)))

0.0ms

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

simplify100.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

804×	`fma-neg_binary64`
634×	`fma-def_binary64`
398×	`associate-l_binary64`
311×	`cancel-sign-sub-inv_binary64`
307×	`associate-r_binary64`

Counts

87 → 83

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	1465
1	269	1353
2	647	1341
3	1551	1313
4	4325	1313
5	4891	1313
6	4906	1313

prune81.0ms (4.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

100 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)
✓	0.5b	(-.f64 (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)))) x)

Status

Error

Program

✓

0.0b

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

✓

0.5b

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

Compiler

Compiled 1823 to 1457 computations (20.1% saved)

regimes136.0ms (7.4%)

Accuracy

Total 0.0b remaining (11.5%)

Threshold costs 0.0b (11.5%)

Counts

69 → 1

Compiler

Compiled 2052 to 1592 computations (22.4% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	25	25
2	29	25
3	31	25
4	32	25
5	31	25

end55.0ms (3%)

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

Details

analyze10.0ms (0.5%)

sample992.0ms (53.9%)

simplify107.0ms (5.8%)

prune3.0ms (0.2%)

localize8.0ms (0.5%)

series10.0ms (0.5%)

rewrite5.0ms (0.3%)

simplify82.0ms (4.4%)

prune93.0ms (5.1%)

localize11.0ms (0.6%)

prune121.0ms (6.6%)

localize11.0ms (0.6%)

series8.0ms (0.5%)

rewrite5.0ms (0.3%)

simplify100.0ms (5.5%)

prune81.0ms (4.4%)

regimes136.0ms (7.4%)

simplify3.0ms (0.2%)

end55.0ms (3%)

Profiling