Details

analyze436.0ms (20.5%)

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
31.2%	68.6%	0.1%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample35.0ms (1.6%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify48.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

278×	`fma-def_binary64`
251×	`fma-neg_binary64`
71×	`cancel-sign-sub-inv_binary64`
55×	`distribute-rgt-in_binary64`
41×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	46	8
4	81	8
5	139	8
6	212	8
7	345	8
8	487	8
9	601	8
10	661	8
11	668	8
12	625	8

prune5.0ms (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 (-.f64 y x) z x)

Compiler

Compiled 34 to 17 computations (50% saved)

localize13.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

series14.0ms (0.6%)

Counts

1 → 36

Calls

1 calls:

13.0ms

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

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:

1.0ms

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

simplify109.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

762×	`neg-sub0_binary64`
713×	`neg-mul-1_binary64`
619×	`distribute-neg-out_binary64`
618×	`distribute-rgt-neg-out_binary64`
414×	`unsub-neg_binary64`

Counts

46 → 29

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	472
1	66	374
2	141	374
3	350	374
4	1783	374
5	3599	374
6	5394	374

prune23.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	2	30

Error

0.0b

Counts

30 → 2

Alt Table

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

Compiler

Compiled 292 to 85 computations (70.9% saved)

localize12.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

series25.0ms (1.2%)

Counts

2 → 18

Calls

2 calls:

14.0ms	(-.f64 (+.f64 (.f64 y z) x) (.f64 z x))
11.0ms	(+.f64 (*.f64 y z) x)

rewrite18.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`
3×	`fma-neg_binary64`

Counts

2 → 36

Calls

2 calls:

10.0ms	(-.f64 (+.f64 (.f64 y z) x) (.f64 z x))
5.0ms	(+.f64 (*.f64 y z) x)

simplify82.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

363×	`fma-def_binary64`
298×	`associate-l_binary64`
297×	`neg-mul-1_binary64`
258×	`times-frac_binary64`
254×	`associate-r_binary64`

Counts

54 → 69

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	629
1	212	515
2	631	493
3	2331	492
4	4237	492
5	5035	492

prune48.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	69	2	71

Error

0.0b

Counts

71 → 2

Alt Table

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

Compiler

Compiled 1034 to 222 computations (78.5% saved)

regimes90.0ms (4.2%)

Accuracy

Total 0.0b remaining (56.3%)

Threshold costs 0.0b (56.3%)

Counts

11 → 1

Compiler

Compiled 404 to 254 computations (37.1% saved)

simplify4.0ms (0.2%)

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

end1.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

sample1.2s (54.7%)

Algorithm

1×

intervals

Results

483.0ms	8000×	body	128	valid
36.0ms	631×	body	128	invalid

Compiler

Compiled 44 to 27 computations (38.6% saved)

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	46	8
4	81	8
5	139	8
6	212	8
7	345	8
8	487	8
9	601	8
10	661	8
11	668	8
12	625	8

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	46	8
4	81	8
5	139	8
6	212	8
7	345	8
8	487	8
9	601	8
10	661	8
11	668	8
12	625	8

Details

analyze436.0ms (20.5%)

sample35.0ms (1.6%)

simplify48.0ms (2.2%)

prune5.0ms (0.2%)

localize13.0ms (0.6%)

series14.0ms (0.6%)

rewrite1.0ms (0.1%)

simplify109.0ms (5.1%)

prune23.0ms (1.1%)

localize12.0ms (0.6%)

series25.0ms (1.2%)

rewrite18.0ms (0.9%)

simplify82.0ms (3.9%)

prune48.0ms (2.2%)

regimes90.0ms (4.2%)

simplify4.0ms (0.2%)

end1.0ms (0%)

sample1.2s (54.7%)

Profiling

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	46	8
4	81	8
5	139	8
6	212	8
7	345	8
8	487	8
9	601	8
10	661	8
11	668	8
12	625	8