Details

analyze9.0ms (0.3%)

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)

sample1.2s (47.8%)

Results

1.1s

8256×

body

128

valid

Compiler

Compiled 56 to 44 computations (21.4% saved)

simplify108.0ms (4.2%)

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

prune4.0ms (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 (/.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)

localize10.0ms (0.4%)

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)
✓	16.9b	(/.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:

4.0ms	(/.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 27061/100000 230753/100000)
1.0ms	(fma.f64 x 4481/100000 99229/100000)

rewrite5.0ms (0.2%)

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)

simplify83.0ms (3.2%)

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

prune94.0ms (3.6%)

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)
	14.5b	(-.f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)))) x)
▶	0.0b	(-.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 1992 to 1500 computations (24.7% saved)

localize13.0ms (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)
	16.9b	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

prune133.0ms (5.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	100	3	103

Error

Counts

103 → 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)
▶	14.5b	(-.f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)))) x)
✓	0.0b	(-.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 2175 to 1687 computations (22.4% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 x 4481/100000 99229/100000)
	0.2b	(fma.f64 x 27061/100000 230753/100000)
✓	2.6b	(/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)))
✓	5.8b	(/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (sqrt.f64 (fma.f64 x 27061/100000 230753/100000))))

series19.0ms (0.7%)

Counts

2 → 16

Calls

2 calls:

15.0ms

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

3.0ms

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

rewrite43.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

276×	`times-frac_binary64`
154×	`*-un-lft-identity_binary64`
154×	`add-sqr-sqrt_binary64`
154×	`add-cube-cbrt_binary64`
144×	`sqrt-prod_binary64`

Counts

2 → 218

Calls

2 calls:

10.0ms

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

3.0ms

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

simplify264.0ms (10.2%)

Algorithm

1×	egg-herbie

Rules

506×	`fma-neg_binary64`
489×	`associate-/r*_binary64`
420×	`*-commutative_binary64`
328×	`fma-def_binary64`
231×	`associate-/r/_binary64`

Counts

234 → 266

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	295	11235
1	669	10164
2	2203	9685
3	4601	9681
4	4985	9681

prune373.0ms (14.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	312	0	312
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	312	3	315

Error

Counts

315 → 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)
✓	14.5b	(-.f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)))) x)
✓	0.0b	(-.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 11408 to 9112 computations (20.1% saved)

regimes78.0ms (3%)

Accuracy

Total 0.0b remaining (37%)

Threshold costs 0.0b (37%)

Counts

36 → 1

Compiler

Compiled 1060 to 802 computations (24.3% saved)

simplify3.0ms (0.1%)

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

end88.0ms (3.4%)

Compiler: Compiled 90 to 69 computations (23.3% saved)

Details

analyze9.0ms (0.3%)

sample1.2s (47.8%)

simplify108.0ms (4.2%)

prune4.0ms (0.1%)

localize10.0ms (0.4%)

series10.0ms (0.4%)

rewrite5.0ms (0.2%)

simplify83.0ms (3.2%)

prune94.0ms (3.6%)

localize13.0ms (0.5%)

prune133.0ms (5.2%)

localize12.0ms (0.4%)

series19.0ms (0.7%)

rewrite43.0ms (1.7%)

simplify264.0ms (10.2%)

prune373.0ms (14.5%)

regimes78.0ms (3%)

simplify3.0ms (0.1%)

end88.0ms (3.4%)

Profiling