Details

analyze193.0ms (13.6%)

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
50%	50%	0.1%	6
56.2%	37.5%	6.3%	7
68.7%	25%	6.3%	8
71.8%	18.7%	9.5%	9
78%	12.5%	9.5%	10
79.6%	9.4%	11%	11
82.7%	6.2%	11%	12
83.6%	4.6%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample17.0ms (1.2%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify50.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

723×	`fma-neg_binary64`
586×	`fma-def_binary64`
222×	`cancel-sign-sub-inv_binary64`
115×	`sub-neg_binary64`
82×	`associate--r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	27	14
2	58	12
3	109	12
4	229	11
5	450	11
6	661	11
7	940	11
8	1194	11
9	1320	11
10	1347	11
11	1268	11

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

Counts

2 → 2

Alt Table

Status	Error	Program
	0.0b	(-.f64 (fma.f64 y (+.f64 x -1/2) 8277062471433911/9007199254740992) x)
▶	0.0b	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 8277062471433911/9007199254740992)

Compiler

Compiled 56 to 41 computations (26.8% saved)

localize7.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 x (-.f64 y 1))

rewrite50.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
8×	`add-sqr-sqrt_binary64`
8×	`prod-diff_binary64`
6×	`add-exp-log_binary64`

Counts

1 → 49

Calls

1 calls:

15.0ms

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

Compiler

Compiled 1144 to 874 computations (23.6% saved)

series23.0ms (1.7%)

Error

Counts

1 → 9

Calls

1 calls:

21.0ms

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

Compiler

Compiled 231 to 168 computations (27.3% saved)

simplify88.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

885×	`fma-neg_binary64`
460×	`associate-l_binary64`
336×	`associate-r_binary64`
265×	`exp-prod_binary64`
229×	`distribute-rgt-neg-in_binary64`

Counts

58 → 36

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	528
1	214	465
2	540	461
3	2250	449
4	4324	449
5	5068	449

prune17.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	36	2	38

Error

Counts

38 → 2

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (fma.f64 y (+.f64 x -1/2) 8277062471433911/9007199254740992) x)
✓	0.0b	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 8277062471433911/9007199254740992)

Compiler

Compiled 436 to 323 computations (25.9% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(fma.f64 y (+.f64 x -1/2) 8277062471433911/9007199254740992)
0.0b	(-.f64 (fma.f64 y (+.f64 x -1/2) 8277062471433911/9007199254740992) x)

rewrite72.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`add-cube-cbrt_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`fma-udef_binary64`
8×	`pow1_binary64`
8×	`add-log-exp_binary64`

Counts

2 → 82

Calls

2 calls:

13.0ms	(-.f64 (fma.f64 y (+.f64 x -1/2) 8277062471433911/9007199254740992) x)
9.0ms	(fma.f64 y (+.f64 x -1/2) 8277062471433911/9007199254740992)

Compiler

Compiled 1556 to 937 computations (39.8% saved)

series48.0ms (3.4%)

Error

Counts

2 → 24

Calls

2 calls:

24.0ms	(fma.f64 y (+.f64 x -1/2) 8277062471433911/9007199254740992)
16.0ms	(-.f64 (fma.f64 y (+.f64 x -1/2) 8277062471433911/9007199254740992) x)

Compiler

Compiled 488 to 336 computations (31.1% saved)

simplify113.0ms (8%)

Algorithm

1×	egg-herbie

Rules

451×	`distribute-rgt-in_binary64`
448×	`associate-l_binary64`
404×	`distribute-lft-in_binary64`
395×	`fma-def_binary64`
356×	`associate-r_binary64`

Counts

106 → 68

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	1304
1	284	1265
2	905	1189
3	4113	1168
4	4935	1168
5	4887	1168

prune29.0ms (2.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	68	2	70

Error

Counts

70 → 2

Alt Table

Status	Error	Program
	0.0b	(-.f64 (fma.f64 y (+.f64 x -1/2) 8277062471433911/9007199254740992) x)
	0.0b	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 8277062471433911/9007199254740992)

Compiler

Compiled 764 to 529 computations (30.8% saved)

regimes73.0ms (5.2%)

Accuracy

Total 0.0b remaining (82.1%)

Threshold costs 0.0b (82.1%)

Compiler

Compiled 660 to 480 computations (27.3% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`+-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	8	11
1	11	11
2	16	11
3	18	11
4	19	11
5	19	11

end0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

sample620.0ms (43.9%)

Algorithm

1×

intervals

Results

360.0ms	7994×	body	128	valid
3.0ms	5×	body	1024	valid
2.0ms	61×	body	128	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 49 to 37 computations (24.5% saved)

Details

analyze193.0ms (13.6%)

sample17.0ms (1.2%)

simplify50.0ms (3.5%)

prune3.0ms (0.2%)

localize7.0ms (0.5%)

rewrite50.0ms (3.5%)

series23.0ms (1.7%)

simplify88.0ms (6.2%)

prune17.0ms (1.2%)

localize7.0ms (0.5%)

rewrite72.0ms (5.1%)

series48.0ms (3.4%)

simplify113.0ms (8%)

prune29.0ms (2.1%)

regimes73.0ms (5.2%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample620.0ms (43.9%)

Profiling