Details

analyze570.0ms (29.8%)

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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample26.0ms (1.3%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
2.0ms	35×	body	128	invalid

Compiler

Compiled 36 to 28 computations (22.2% saved)

simplify68.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-def_binary64`
639×	`associate-/l*_binary64`
549×	`associate-/r*_binary64`
410×	`fma-neg_binary64`
343×	`distribute-neg-frac_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	25	17
2	55	15
3	125	15
4	273	14
5	562	11
6	1531	11
7	4085	11
8	4535	11
9	4790	11

prune4.0ms (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	(fma.f64 4 (/.f64 (-.f64 x z) y) 2)

Compiler

Compiled 46 to 33 computations (28.3% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite17.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-cube-cbrt_binary64`
7×	`add-cbrt-cube_binary64`
6×	`div-sub_binary64`
6×	`add-exp-log_binary64`
4×	`times-frac_binary64`

Counts

1 → 52

Calls

1 calls:

14.0ms

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

series28.0ms (1.4%)

Counts

1 → 28

Calls

1 calls:

28.0ms

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

simplify69.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

915×	`fma-def_binary64`
718×	`times-frac_binary64`
325×	`associate-/l*_binary64`
321×	`associate-l_binary64`
272×	`associate-r_binary64`

Counts

80 → 123

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	685
1	212	650
2	744	648
3	4363	648
4	5183	648

prune34.0ms (1.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	1	124

Error

Counts

124 → 1

Alt Table

Status	Error	Program
▶	0b	(fma.f64 4 (-.f64 (/.f64 x y) (/.f64 z y)) 2)

Compiler

Compiled 909 to 371 computations (59.2% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite22.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cube-cbrt_binary64`
6×	`frac-sub_binary64`
6×	`add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
4×	`pow1_binary64`

Counts

1 → 49

Calls

1 calls:

19.0ms

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

series37.0ms (1.9%)

Counts

1 → 18

Calls

1 calls:

37.0ms

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

simplify83.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

485×	`fma-neg_binary64`
436×	`div-sub_binary64`
423×	`cancel-sign-sub-inv_binary64`
280×	`times-frac_binary64`
271×	`associate-l_binary64`

Counts

67 → 102

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	597
1	227	583
2	684	568
3	2124	568
4	4073	568
5	5033	568

prune29.0ms (1.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	1	103

Error

Counts

103 → 1

Alt Table

Status	Error	Program
✓	0b	(fma.f64 4 (-.f64 (/.f64 x y) (/.f64 z y)) 2)

Compiler

Compiled 1565 to 393 computations (74.9% saved)

regimes56.0ms (2.9%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 494 to 372 computations (24.7% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	12	14
2	19	14
3	23	14
4	26	14
5	27	14
6	27	14

end0.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

sample853.0ms (44.6%)

Algorithm

1×

intervals

Results

485.0ms	8000×	body	128	valid
52.0ms	999×	body	128	invalid

Compiler

Compiled 46 to 34 computations (26.1% saved)

Details

analyze570.0ms (29.8%)

sample26.0ms (1.3%)

simplify68.0ms (3.6%)

prune4.0ms (0.2%)

localize6.0ms (0.3%)

rewrite17.0ms (0.9%)

series28.0ms (1.4%)

simplify69.0ms (3.6%)

prune34.0ms (1.8%)

localize7.0ms (0.4%)

rewrite22.0ms (1.1%)

series37.0ms (1.9%)

simplify83.0ms (4.3%)

prune29.0ms (1.5%)

regimes56.0ms (2.9%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample853.0ms (44.6%)

Profiling