Details

analyze691.0ms (30.9%)

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
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.4%	11.4%	12
61.3%	24.7%	14%	13
65%	19.9%	15.1%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample36.0ms (1.6%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
1.0ms	14×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify25.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

66×	`fma-def_binary64`
8×	`associate-r_binary64`
8×	`associate-l_binary64`
7×	`+-commutative_binary64`
6×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	16	8
2	26	8
3	39	8
4	48	8
5	55	8
6	53	8
7	71	8
8	75	8
9	88	8
10	94	8
11	99	8
12	100	8
13	98	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 y (+.f64 x z) x)

Compiler

Compiled 34 to 18 computations (47.1% saved)

localize9.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series14.0ms (0.6%)

Counts

1 → 36

Calls

1 calls:

14.0ms

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

rewrite2.0ms (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 y (+.f64 x z) x)

simplify137.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

760×	`unswap-sqr_binary64`
540×	`distribute-rgt-in_binary64`
536×	`distribute-lft-in_binary64`
456×	`*-commutative_binary64`
361×	`distribute-rgt-out_binary64`

Counts

46 → 20

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	385
1	42	368
2	96	368
3	326	368
4	1685	368
5	1904	368
6	2179	368
7	2746	368
8	4060	368
9	4552	368
10	5198	368

prune22.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	2	21

Error

Counts

21 → 2

Alt Table

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

Compiler

Compiled 202 to 60 computations (70.3% saved)

localize14.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

series14.0ms (0.6%)

Counts

1 → 9

Calls

1 calls:

14.0ms

(+.f64 (*.f64 y x) (+.f64 (*.f64 y z) x))

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64`
3×	`sum-log_binary64`
1×	`+-commutative_binary64`
1×	`associate-+r+_binary64`
1×	`flip-+_binary64`

Counts

1 → 16

Calls

1 calls:

10.0ms

(+.f64 (*.f64 y x) (+.f64 (*.f64 y z) x))

simplify61.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

554×	`associate--r+_binary64`
421×	`associate--l+_binary64`
338×	`sub-neg_binary64`
267×	`distribute-rgt-out_binary64`
237×	`*-commutative_binary64`

Counts

25 → 33

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	281
1	136	247
2	444	246
3	1604	246
4	2681	246
5	4974	246

prune23.0ms (1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	33	2	35

Error

Counts

35 → 2

Alt Table

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

Compiler

Compiled 464 to 113 computations (75.6% saved)

regimes98.0ms (4.4%)

Accuracy

Total 0.0b remaining (63.5%)

Threshold costs 0.0b (63.5%)

Counts

11 → 1

Compiler

Compiled 408 to 254 computations (37.7% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	9	11
2	9	11

end1.0ms (0%)

Compiler: Compiled 11 to 6 computations (45.5% saved)

sample1.1s (47.9%)

Algorithm

1×

intervals

Results

478.0ms	8000×	body	128	valid
32.0ms	569×	body	128	invalid

Compiler

Compiled 46 to 28 computations (39.1% saved)

Iter	Nodes	Cost
0	7	10
1	16	8
2	26	8
3	39	8
4	48	8
5	55	8
6	53	8
7	71	8
8	75	8
9	88	8
10	94	8
11	99	8
12	100	8
13	98	8

Iter	Nodes	Cost
0	7	10
1	16	8
2	26	8
3	39	8
4	48	8
5	55	8
6	53	8
7	71	8
8	75	8
9	88	8
10	94	8
11	99	8
12	100	8
13	98	8

Details

analyze691.0ms (30.9%)

sample36.0ms (1.6%)

simplify25.0ms (1.1%)

prune5.0ms (0.2%)

localize9.0ms (0.4%)

series14.0ms (0.6%)

rewrite2.0ms (0.1%)

simplify137.0ms (6.1%)

prune22.0ms (1%)

localize14.0ms (0.6%)

series14.0ms (0.6%)

rewrite11.0ms (0.5%)

simplify61.0ms (2.7%)

prune23.0ms (1%)

regimes98.0ms (4.4%)

simplify4.0ms (0.2%)

end1.0ms (0%)

sample1.1s (47.9%)

Profiling

Iter	Nodes	Cost
0	7	10
1	16	8
2	26	8
3	39	8
4	48	8
5	55	8
6	53	8
7	71	8
8	75	8
9	88	8
10	94	8
11	99	8
12	100	8
13	98	8