Details

analyze110.0ms (7.3%)

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
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
59.3%	34.3%	6.3%	8
67.1%	24.2%	8.7%	9
72.6%	18%	9.5%	10
76.9%	12.3%	10.8%	11
79.8%	9.2%	11%	12
82%	6.2%	11.8%	13
83.6%	4.6%	11.8%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample764.0ms (50.8%)

Results

699.0ms	8254×	body	128	valid
6.0ms	81×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify22.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

411×	`fma-def_binary64`
260×	`fma-neg_binary64`
73×	`cancel-sign-sub-inv_binary64`
46×	`distribute-rgt-in_binary64`
38×	`associate--r+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	14	10
2	27	8
3	48	8
4	106	8
5	181	8
6	341	8
7	513	8
8	541	8
9	548	8
10	557	8
11	518	8

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 (fma.f64 x y y) x)

Compiler

Compiled 31 to 16 computations (48.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 x y y) x)

series4.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

4.0ms

(-.f64 (fma.f64 x y y) x)

rewrite4.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`prod-diff_binary64`
9×	`add-cube-cbrt_binary64`
3×	`cancel-sign-sub-inv_binary64`

Counts

1 → 31

Calls

1 calls:

3.0ms

(-.f64 (fma.f64 x y y) x)

simplify62.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

733×	`fma-neg_binary64`
522×	`associate-+l+_binary64`
402×	`associate-l_binary64`
354×	`fma-def_binary64`
332×	`associate-r_binary64`

Counts

55 → 52

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	552
1	140	513
2	503	482
3	2316	480
4	4830	480
5	5166	480

prune23.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	3	53

Error

Counts

53 → 3

Alt Table

Status	Error	Program
▶	27.1b	(*.f64 (-.f64 y 1) x)
✓	0.0b	(-.f64 (fma.f64 x y y) x)
	31.4b	(fma.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 (fma.f64 x y y)) (neg.f64 x))

Compiler

Compiled 799 to 202 computations (74.7% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 y 1) x)

series5.0ms (0.3%)

Counts

1 → 12

Calls

1 calls:

5.0ms

(*.f64 (-.f64 y 1) x)

rewrite5.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
7×	`associate-l_binary64`
6×	`*-un-lft-identity_binary64`
3×	`associate-r_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 26

Calls

1 calls:

4.0ms

(*.f64 (-.f64 y 1) x)

simplify65.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

742×	`fma-neg_binary64`
617×	`distribute-rgt-in_binary64`
594×	`distribute-lft-in_binary64`
438×	`neg-mul-1_binary64`
383×	`unsub-neg_binary64`

Counts

38 → 47

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	349
1	103	319
2	287	319
3	703	319
4	1998	319
5	2489	319
6	4455	319
7	5012	319

prune19.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	47	3	50

Error

Counts

50 → 3

Alt Table

Status	Error	Program
✓	27.1b	(*.f64 (-.f64 y 1) x)
✓	0.0b	(-.f64 (fma.f64 x y y) x)
▶	31.4b	(fma.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 (fma.f64 x y y)) (neg.f64 x))

Compiler

Compiled 523 to 292 computations (44.2% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fma.f64 x y y))
✓	0.1b	(fma.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 (fma.f64 x y y)) (neg.f64 x))

series123.0ms (8.2%)

Counts

2 → 11

Calls

2 calls:

92.0ms	(fma.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 (fma.f64 x y y)) (neg.f64 x))
31.0ms	(sqrt.f64 (fma.f64 x y y))

rewrite2.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-sqr-sqrt_binary64`
3×	`sqrt-prod_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64`
3×	`pow1_binary64`

Counts

2 → 25

Calls

2 calls:

1.0ms	(sqrt.f64 (fma.f64 x y y))
0.0ms	(fma.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 (fma.f64 x y y)) (neg.f64 x))

simplify50.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-def_binary64`
610×	`fma-neg_binary64`
570×	`associate-l_binary64`
549×	`distribute-rgt-in_binary64`
532×	`distribute-lft-in_binary64`

Counts

36 → 53

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	386
1	109	361
2	253	353
3	865	339
4	4516	337
5	4955	337

prune27.0ms (1.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	83	3	86

Error

Counts

86 → 3

Alt Table

Status	Error	Program
✓	27.1b	(*.f64 (-.f64 y 1) x)
✓	0.0b	(-.f64 (fma.f64 x y y) x)
✓	31.4b	(fma.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 (fma.f64 x y y)) (neg.f64 x))

Compiler

Compiled 1480 to 296 computations (80% saved)

regimes78.0ms (5.2%)

Accuracy

Total 0.0b remaining (78.6%)

Threshold costs 0.0b (78.6%)

Counts

15 → 1

Compiler

Compiled 489 to 254 computations (48.1% saved)

simplify2.0ms (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	5	8
1	7	8
2	12	8
3	14	8
4	15	8
5	15	8

end121.0ms (8.1%)

Compiler: Compiled 46 to 23 computations (50% saved)

Details

analyze110.0ms (7.3%)

sample764.0ms (50.8%)

simplify22.0ms (1.5%)

prune3.0ms (0.2%)

localize4.0ms (0.2%)

series4.0ms (0.3%)

rewrite4.0ms (0.3%)

simplify62.0ms (4.1%)

prune23.0ms (1.5%)

localize3.0ms (0.2%)

series5.0ms (0.3%)

rewrite5.0ms (0.4%)

simplify65.0ms (4.3%)

prune19.0ms (1.3%)

localize6.0ms (0.4%)

series123.0ms (8.2%)

rewrite2.0ms (0.1%)

simplify50.0ms (3.3%)

prune27.0ms (1.8%)

regimes78.0ms (5.2%)

simplify2.0ms (0.1%)

end121.0ms (8.1%)

Profiling