Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 19 to 10 computations (47.4% saved)

sample1.8s (59.1%)

Results

853.0ms	6062×	body	128	valid
359.0ms	801×	body	1024	valid
221.0ms	627×	body	512	valid
194.0ms	403×	body	2048	valid
84.0ms	363×	body	256	valid

Compiler

Compiled 56 to 29 computations (48.2% saved)

simplify230.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

1476×	`distribute-rgt-out--_binary64`
585×	`unsub-neg_binary64`
406×	`sub-neg_binary64`
378×	`distribute-rgt-neg-in_binary64`
342×	`fma-def_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	29	11
2	84	10
3	214	7
4	590	7
5	1832	7
6	2361	7
7	2773	7
8	3029	7
9	3327	7
10	3482	7
11	3500	7
12	3500	7
13	3500	7
14	5390	7

prune6.0ms (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	(*.f64 y (-.f64 x z))

Compiler

Compiled 39 to 21 computations (46.2% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series12.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

11.0ms

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

rewrite20.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
18×	`prod-diff_binary64`
17×	`add-cube-cbrt_binary64`
13×	`distribute-lft-in_binary64`

Counts

1 → 50

Calls

1 calls:

13.0ms

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

simplify165.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-def_binary64`
422×	`unsub-neg_binary64`
281×	`unswap-sqr_binary64`
277×	`*-commutative_binary64`
231×	`neg-mul-1_binary64`

Counts

86 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	869
1	190	803
2	577	749
3	1458	695
4	3029	695
5	4852	695
6	5000	695
7	4766	695

prune56.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	2	68

Error

0.0b

Counts

68 → 2

Alt Table

Status	Error	Program
▶	0.3b	(-.f64 (.f64 y x) (.f64 y z))
✓	0.0b	(*.f64 y (-.f64 x z))

Compiler

Compiled 1031 to 278 computations (73% saved)

localize13.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (.f64 y x) (.f64 y z))

series15.0ms (0.5%)

Counts

1 → 18

Calls

1 calls:

15.0ms

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

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`distribute-lft-out--_binary64`
1×	`cancel-sign-sub-inv_binary64`
1×	`flip--_binary64`
1×	`sub-neg_binary64`

Counts

1 → 17

Calls

1 calls:

6.0ms

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

simplify136.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

791×	`unsub-neg_binary64`
633×	`fma-def_binary64`
541×	`distribute-rgt-in_binary64`
482×	`distribute-lft-in_binary64`
320×	`times-frac_binary64`

Counts

35 → 35

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	332
1	121	314
2	415	307
3	1268	304
4	3520	304
5	4176	304
6	4949	304
7	4865	304

prune17.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	35	2	37

Error

Counts

37 → 2

Alt Table

Status	Error	Program
▶	0.3b	(fma.f64 y x (neg.f64 (*.f64 y z)))
✓	0.0b	(*.f64 y (-.f64 x z))

Compiler

Compiled 423 to 119 computations (71.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(fma.f64 y x (neg.f64 (*.f64 y z)))

series17.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

17.0ms

(fma.f64 y x (neg.f64 (*.f64 y 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:

1.0ms

(fma.f64 y x (neg.f64 (*.f64 y z)))

simplify112.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

600×	`times-frac_binary64`
566×	`associate-l_binary64`
429×	`associate-r_binary64`
401×	`distribute-rgt-in_binary64`
384×	`distribute-lft-in_binary64`

Counts

46 → 25

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	352
1	47	337
2	126	337
3	448	337
4	2005	337
5	4119	337
6	4418	337
7	5458	337

prune17.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	25	2	27

Error

Counts

27 → 2

Alt Table

Status	Error	Program
✓	0.3b	(fma.f64 y x (neg.f64 (*.f64 y z)))
✓	0.0b	(*.f64 y (-.f64 x z))

Compiler

Compiled 261 to 68 computations (73.9% saved)

regimes72.0ms (2.3%)

Accuracy

Total 0.0b remaining (84.2%)

Threshold costs 0.0b (84.2%)

Counts

10 → 1

Compiler

Compiled 488 to 292 computations (40.2% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	14	7
3	16	7
4	17	7
5	17	7

end353.0ms (11.4%)

Compiler: Compiled 34 to 21 computations (38.2% saved)

Details

analyze3.0ms (0.1%)

sample1.8s (59.1%)

simplify230.0ms (7.4%)

prune6.0ms (0.2%)

localize7.0ms (0.2%)

series12.0ms (0.4%)

rewrite20.0ms (0.6%)

simplify165.0ms (5.3%)

prune56.0ms (1.8%)

localize13.0ms (0.4%)

series15.0ms (0.5%)

rewrite7.0ms (0.2%)

simplify136.0ms (4.4%)

prune17.0ms (0.6%)

localize5.0ms (0.2%)

series17.0ms (0.5%)

rewrite1.0ms (0%)

simplify112.0ms (3.6%)

prune17.0ms (0.6%)

regimes72.0ms (2.3%)

simplify4.0ms (0.1%)

end353.0ms (11.4%)

Profiling