Details

analyze338.0ms (21.6%)

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	56.2%	3.3%	9
46.8%	46%	7.2%	10
58.5%	32.8%	8.7%	11
60.8%	27.9%	11.3%	12
63.8%	22.4%	13.8%	13
69.1%	16.5%	14.4%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample921.0ms (59%)

Symmetry

(sort d2 d3)

Results

793.0ms	8256×	body	128	valid
62.0ms	683×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-lft-out_binary64`
1×	`distribute-rgt-out_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	13	7
2	18	7
3	18	7

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 35 to 20 computations (42.9% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 d3))

series7.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

7.0ms

(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))

rewrite3.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`+-commutative_binary64`
1×	`distribute-lft-out_binary64`
1×	`flip-+_binary64`
1×	`*-un-lft-identity_binary64`

Counts

1 → 15

Calls

1 calls:

3.0ms

(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))

simplify74.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

791×	`unsub-neg_binary64`
551×	`distribute-rgt-out_binary64`
343×	`distribute-rgt-in_binary64`
309×	`distribute-lft-in_binary64`
288×	`unswap-sqr_binary64`

Counts

51 → 28

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	420
1	116	402
2	419	401
3	1259	398
4	2596	398
5	3843	398
6	4403	398
7	5351	398

prune13.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	2	29

Error

Counts

29 → 2

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 d1 d2 (*.f64 d1 d3))
✓	0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 365 to 99 computations (72.9% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 d1 d2 (*.f64 d1 d3))

series8.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

8.0ms

(fma.f64 d1 d2 (*.f64 d1 d3))

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 d1 d2 (*.f64 d1 d3))

simplify78.0ms (5%)

Algorithm

1×	egg-herbie

Rules

811×	`fma-def_binary64`
773×	`distribute-rgt-in_binary64`
765×	`distribute-lft-in_binary64`
405×	`*-commutative_binary64`
380×	`distribute-rgt-out_binary64`

Counts

46 → 22

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	346
1	26	331
2	78	331
3	295	331
4	778	331
5	2919	331
6	3117	331
7	3288	331
8	3563	331
9	4329	331
10	4791	331

prune8.0ms (0.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	22	2	24

Error

Counts

24 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 d1 d2 (*.f64 d1 d3))
✓	0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 226 to 58 computations (74.3% saved)

regimes51.0ms (3.3%)

Accuracy

Total 0.0b remaining (55.5%)

Threshold costs 0.0b (55.5%)

Counts

6 → 1

Compiler

Compiled 224 to 142 computations (36.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	10	10

end41.0ms (2.6%)

Remove: (sort d2 d3)
Compiler: Compiled 59 to 35 computations (40.7% saved)

Details

analyze338.0ms (21.6%)

sample921.0ms (59%)

simplify6.0ms (0.4%)

prune3.0ms (0.2%)

localize6.0ms (0.4%)

series7.0ms (0.4%)

rewrite3.0ms (0.2%)

simplify74.0ms (4.7%)

prune13.0ms (0.8%)

localize4.0ms (0.3%)

series8.0ms (0.5%)

rewrite1.0ms (0%)

simplify78.0ms (5%)

prune8.0ms (0.5%)

regimes51.0ms (3.3%)

simplify2.0ms (0.1%)

end41.0ms (2.6%)

Profiling