Details

analyze669.0ms (19.4%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
21.1%	78%	0.9%	9
37.3%	60.3%	2.5%	10
39.7%	56.1%	4.2%	11
45.6%	48.7%	5.7%	12
55.9%	35.1%	8.9%	13
57.6%	32.1%	10.3%	14

Compiler

Compiled 13 to 8 computations (38.5% saved)

sample21.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	42×	body	128	invalid

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify118.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

2064×	`fma-neg_binary64`
381×	`div-sub_binary64`
365×	`associate-/l*_binary64`
334×	`distribute-neg-frac_binary64`
322×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	12	11
2	25	11
3	47	11
4	82	11
5	143	11
6	228	11
7	442	11
8	1041	11
9	2472	11
10	2805	11
11	2944	11
12	3273	11
13	3441	11
14	3513	11
15	4986	11

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

11.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	11.1b	(/.f64 (fma.f64 y (-.f64 z x) x) z)

Compiler

Compiled 42 to 21 computations (50% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y (-.f64 z x) x)
✓	10.4b	(/.f64 (fma.f64 y (-.f64 z x) x) z)

series20.0ms (0.6%)

Counts

2 → 72

Calls

2 calls:

14.0ms	(/.f64 (fma.f64 y (-.f64 z x) x) z)
7.0ms	(fma.f64 y (-.f64 z x) x)

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

2.0ms	(/.f64 (fma.f64 y (-.f64 z x) x) z)
0.0ms	(fma.f64 y (-.f64 z x) x)

simplify89.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

615×	`distribute-rgt-in_binary64`
602×	`distribute-lft-in_binary64`
415×	`times-frac_binary64`
355×	`fma-def_binary64`
346×	`fma-neg_binary64`

Counts

111 → 65

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	1462
1	170	1315
2	385	1259
3	1042	1259
4	4436	1259
5	4999	1259
6	4955	1259

prune42.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	3	66

Error

Counts

66 → 3

Alt Table

Status	Error	Program
	3.5b	(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
	11.3b	(*.f64 (fma.f64 y (-.f64 z x) x) (/.f64 1 z))
▶	2.9b	(*.f64 1 (fma.f64 (/.f64 (-.f64 1 y) z) x y))

Compiler

Compiled 925 to 232 computations (74.9% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.7b	(fma.f64 (/.f64 (-.f64 1 y) z) x y)

series12.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

12.0ms

(fma.f64 (/.f64 (-.f64 1 y) z) x y)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 (/.f64 (-.f64 1 y) z) x y)

simplify74.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

731×	`distribute-rgt-neg-out_binary64`
555×	`distribute-neg-out_binary64`
397×	`unsub-neg_binary64`
368×	`distribute-rgt-in_binary64`
359×	`distribute-lft-in_binary64`

Counts

46 → 29

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	574
1	77	497
2	184	497
3	447	497
4	2234	497
5	4465	497
6	5104	497

prune21.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Error

Counts

32 → 3

Alt Table

Status	Error	Program
	3.5b	(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
▶	0.0b	(*.f64 1 (fma.f64 (/.f64 x z) (-.f64 1 y) y))
✓	2.9b	(*.f64 1 (fma.f64 (/.f64 (-.f64 1 y) z) x y))

Compiler

Compiled 460 to 272 computations (40.9% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (/.f64 x z) (-.f64 1 y) y)

series12.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

12.0ms

(fma.f64 (/.f64 x z) (-.f64 1 y) y)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 (/.f64 x z) (-.f64 1 y) y)

simplify71.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

705×	`distribute-rgt-neg-out_binary64`
469×	`distribute-neg-out_binary64`
368×	`unsub-neg_binary64`
332×	`distribute-rgt-in_binary64`
326×	`distribute-lft-in_binary64`

Counts

46 → 23

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	586
1	78	509
2	194	497
3	424	497
4	2300	497
5	4502	497
6	5263	497

prune13.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	23	3	26

Error

Counts

26 → 3

Alt Table

Status	Error	Program
▶	3.5b	(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
✓	0.0b	(*.f64 1 (fma.f64 (/.f64 x z) (-.f64 1 y) y))
✓	2.9b	(*.f64 1 (fma.f64 (/.f64 (-.f64 1 y) z) x y))

Compiler

Compiled 347 to 198 computations (42.9% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
✓	0.0b	(+.f64 y (/.f64 x z))
✓	5.8b	(/.f64 (*.f64 y x) z)

series39.0ms (1.1%)

Counts

3 → 18

Calls

3 calls:

16.0ms	(/.f64 (*.f64 y x) z)
13.0ms	(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
9.0ms	(+.f64 y (/.f64 x z))

rewrite26.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`*-un-lft-identity_binary64`
28×	`prod-diff_binary64`
26×	`add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64`
18×	`times-frac_binary64`

Counts

3 → 99

Calls

3 calls:

9.0ms	(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
7.0ms	(+.f64 y (/.f64 x z))
3.0ms	(/.f64 (*.f64 y x) z)

simplify257.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

813×	`fma-def_binary64`
611×	`times-frac_binary64`
302×	`distribute-rgt-in_binary64`
248×	`fma-neg_binary64`
190×	`cancel-sign-sub-inv_binary64`

Counts

117 → 143

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	180	2790
1	449	1800
2	1540	1496
3	4290	1496
4	4985	1496
5	4989	1496
6	4844	1496

prune156.0ms (4.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	143	3	146

Error

Counts

146 → 3

Alt Table

Status	Error	Program
✓	3.5b	(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
✓	0.0b	(*.f64 1 (fma.f64 (/.f64 x z) (-.f64 1 y) y))
✓	2.9b	(*.f64 1 (fma.f64 (/.f64 (-.f64 1 y) z) x y))

Compiler

Compiled 3178 to 665 computations (79.1% saved)

regimes306.0ms (8.9%)

Accuracy

Total 0.0b remaining (73.6%)

Threshold costs 0.0b (73.6%)

Counts

41 → 1

Compiler

Compiled 2096 to 1264 computations (39.7% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-lft-identity_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
2	18	11
3	20	11
4	21	11
5	20	11

end1.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

sample1.5s (42.3%)

Algorithm

1×

intervals

Results

666.0ms	8000×	body	128	valid
84.0ms	1089×	body	128	invalid

Compiler

Compiled 67 to 44 computations (34.3% saved)

Details

analyze669.0ms (19.4%)

sample21.0ms (0.6%)

simplify118.0ms (3.4%)

prune4.0ms (0.1%)

localize5.0ms (0.2%)

series20.0ms (0.6%)

rewrite4.0ms (0.1%)

simplify89.0ms (2.6%)

prune42.0ms (1.2%)

localize7.0ms (0.2%)

series12.0ms (0.4%)

rewrite1.0ms (0%)

simplify74.0ms (2.2%)

prune21.0ms (0.6%)

localize6.0ms (0.2%)

series12.0ms (0.4%)

rewrite1.0ms (0%)

simplify71.0ms (2.1%)

prune13.0ms (0.4%)

localize7.0ms (0.2%)

series39.0ms (1.1%)

rewrite26.0ms (0.8%)

simplify257.0ms (7.5%)

prune156.0ms (4.5%)

regimes306.0ms (8.9%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample1.5s (42.3%)

Profiling