Details

analyze472.0ms (24.3%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
28.1%	68.6%	3.3%	9
40.6%	52.3%	7.2%	10
49.1%	42.1%	8.7%	11
51.5%	37.3%	11.3%	12
59.1%	27.1%	13.8%	13
63.7%	21.9%	14.4%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (57.1%)

Results

951.0ms	8256×	body	128	valid
62.0ms	644×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify25.0ms (1.3%)

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

prune3.0ms (0.1%)

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

Compiler

Compiled 60 to 36 computations (40% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series14.0ms (0.7%)

Counts

1 → 36

Calls

1 calls:

14.0ms

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

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 x (-.f64 y z) z)

simplify75.0ms (3.9%)

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

prune16.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

Counts

23 → 2

Alt Table

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

Compiler

Compiled 212 to 69 computations (67.5% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series13.0ms (0.7%)

Counts

2 → 48

Calls

2 calls:

7.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
6.0ms	(*.f64 (-.f64 1 x) z)

rewrite9.0ms (0.5%)

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))

simplify72.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

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

Counts

87 → 72

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

prune33.0ms (1.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	72	2	74

Error

Counts

74 → 2

Alt Table

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

Compiler

Compiled 1057 to 490 computations (53.6% saved)

regimes52.0ms (2.7%)

Accuracy

Total 0.0b remaining (58.7%)

Threshold costs 0.0b (58.7%)

Counts

10 → 1

Compiler

Compiled 388 to 254 computations (34.5% 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	6	8
1	8	8
2	13	8
3	15	8
4	16	8
5	16	8

end37.0ms (1.9%)

Compiler: Compiled 39 to 23 computations (41% 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

analyze472.0ms (24.3%)

sample1.1s (57.1%)

simplify25.0ms (1.3%)

prune3.0ms (0.1%)

localize4.0ms (0.2%)

series14.0ms (0.7%)

rewrite1.0ms (0%)

simplify75.0ms (3.9%)

prune16.0ms (0.8%)

localize5.0ms (0.3%)

series13.0ms (0.7%)

rewrite9.0ms (0.5%)

simplify72.0ms (3.7%)

prune33.0ms (1.7%)

regimes52.0ms (2.7%)

simplify2.0ms (0.1%)

end37.0ms (1.9%)

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