Details

analyze446.0ms (29.6%)

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
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample26.0ms (1.8%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
1.0ms	23×	body	128	invalid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify33.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

354×	`fma-def_binary64`
250×	`fma-neg_binary64`
52×	`cancel-sign-sub-inv_binary64`
45×	`distribute-rgt-in_binary64`
43×	`associate--r+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	49	11
4	107	9
5	172	8
6	255	8
7	420	8
8	552	8
9	624	8
10	654	8
11	664	8
12	621	8

prune4.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

Counts

3 → 2

Alt Table

Status	Error	Program
	0.0b	(fma.f64 x (-.f64 y z) z)
▶	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

Compiler

Compiled 60 to 36 computations (40% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

series12.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

7.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
4.0ms	(*.f64 (-.f64 1 x) z)

rewrite10.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`associate-l_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 39

Calls

2 calls:

5.0ms	(*.f64 (-.f64 1 x) z)
3.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

simplify88.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

609×	`neg-sub0_binary64`
555×	`neg-mul-1_binary64`
505×	`associate-l_binary64`
449×	`distribute-rgt-neg-out_binary64`
381×	`associate-r_binary64`

Counts

87 → 73

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	918
1	229	868
2	663	852
3	2407	850
4	3938	850
5	5069	850

prune38.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	73	2	75

Error

Counts

75 → 2

Alt Table

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

Compiler

Compiled 1077 to 496 computations (53.9% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series10.0ms (0.6%)

Counts

1 → 36

Calls

1 calls:

10.0ms

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

rewrite1.0ms (0.1%)

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 x (-.f64 y z) z)

simplify79.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

655×	`neg-sub0_binary64`
594×	`neg-mul-1_binary64`
479×	`distribute-rgt-neg-out_binary64`
433×	`distribute-lft-neg-out_binary64`
343×	`distribute-rgt-in_binary64`

Counts

46 → 21

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	472
1	66	374
2	137	374
3	353	374
4	1685	374
5	3344	374
6	4975	374
7	4929	374

prune8.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	21	2	23

Error

Counts

23 → 2

Alt Table

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

Compiler

Compiled 200 to 61 computations (69.5% saved)

regimes51.0ms (3.4%)

Accuracy

Total 0.0b remaining (81.5%)

Threshold costs 0.0b (81.5%)

Counts

12 → 1

Compiler

Compiled 444 to 290 computations (34.7% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-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	8	11
1	13	11
2	17	11
3	19	11
4	20	11
5	19	11

end0.0ms (0%)

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

sample687.0ms (45.6%)

Algorithm

1×

intervals

Results

334.0ms	8000×	body	128	valid
29.0ms	680×	body	128	invalid

Compiler

Compiled 48 to 32 computations (33.3% saved)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	49	11
4	107	9
5	172	8
6	255	8
7	420	8
8	552	8
9	624	8
10	654	8
11	664	8
12	621	8

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	49	11
4	107	9
5	172	8
6	255	8
7	420	8
8	552	8
9	624	8
10	654	8
11	664	8
12	621	8

Details

analyze446.0ms (29.6%)

sample26.0ms (1.8%)

simplify33.0ms (2.2%)

prune4.0ms (0.2%)

localize6.0ms (0.4%)

series12.0ms (0.8%)

rewrite10.0ms (0.7%)

simplify88.0ms (5.8%)

prune38.0ms (2.5%)

localize4.0ms (0.3%)

series10.0ms (0.6%)

rewrite1.0ms (0.1%)

simplify79.0ms (5.3%)

prune8.0ms (0.6%)

regimes51.0ms (3.4%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample687.0ms (45.6%)

Profiling

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	49	11
4	107	9
5	172	8
6	255	8
7	420	8
8	552	8
9	624	8
10	654	8
11	664	8
12	621	8