Details

analyze328.0ms (15.9%)

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
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)

sample929.0ms (45%)

Symmetry

(sort d2 d3)

Results

831.0ms	8256×	body	128	valid
66.0ms	705×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify8.0ms (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 (0.1%)

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

0.0b

Counts

3 → 2

Alt Table

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

Compiler

Compiled 51 to 30 computations (41.2% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

6.0ms

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

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 25

Calls

1 calls:

5.0ms

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

simplify84.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

935×	`distribute-rgt-in_binary64`
925×	`distribute-lft-in_binary64`
590×	`fma-def_binary64`
549×	`fma-neg_binary64`
280×	`associate-l_binary64`

Counts

49 → 42

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	416
1	133	386
2	419	386
3	1050	386
4	3209	386
5	3409	386
6	4244	386
7	4814	386
8	4885	386

prune17.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Error

Counts

44 → 3

Alt Table

Status	Error	Program
	29.5b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))
✓	0.0b	(*.f64 d1 (+.f64 d2 d3))
▶	0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 477 to 149 computations (68.8% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

8.0ms

(+.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))

simplify73.0ms (3.5%)

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

prune12.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	29	2	31

Error

Counts

31 → 2

Alt Table

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

Compiler

Compiled 363 to 98 computations (73% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

7.0ms

(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))

simplify81.0ms (3.9%)

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 (0.4%)

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

Compiler

Compiled 224 to 57 computations (74.6% saved)

regimes34.0ms (1.6%)

Accuracy

Total 0.0b remaining (74%)

Threshold costs 0.0b (74%)

Counts

7 → 1

Compiler

Compiled 288 to 178 computations (38.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

end442.0ms (21.4%)

Compiler: Compiled 53 to 30 computations (43.4% saved)

Details

analyze328.0ms (15.9%)

sample929.0ms (45%)

simplify8.0ms (0.4%)

prune3.0ms (0.1%)

localize3.0ms (0.2%)

series6.0ms (0.3%)

rewrite6.0ms (0.3%)

simplify84.0ms (4.1%)

prune17.0ms (0.8%)

localize4.0ms (0.2%)

series8.0ms (0.4%)

rewrite3.0ms (0.2%)

simplify73.0ms (3.5%)

prune12.0ms (0.6%)

localize4.0ms (0.2%)

series7.0ms (0.4%)

rewrite1.0ms (0%)

simplify81.0ms (3.9%)

prune8.0ms (0.4%)

regimes34.0ms (1.6%)

simplify2.0ms (0.1%)

end442.0ms (21.4%)

Profiling