Details

analyze280.0ms (25.9%)

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
25%	74.9%	0.1%	5
25%	56.2%	18.8%	6
37.5%	40.6%	22%	7
46.8%	29.7%	23.5%	8
54.6%	21.1%	24.3%	9
60.1%	15.2%	24.7%	10
64.4%	10.7%	24.9%	11
67.3%	7.7%	25%	12
69.6%	5.4%	25%	13
71.1%	3.9%	25%	14

Compiler

Compiled 10 to 6 computations (40% saved)

sample13.0ms (1.2%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify8.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`count-2_binary64` `associate-+l+_binary64` `associate-+r+_binary64` `*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	10	10
2	13	10
3	14	10
4	14	10

prune2.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (+.f64 (*.f64 x x) y) y)

Compiler

Compiled 27 to 15 computations (44.4% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (+.f64 (*.f64 x x) y) y)

rewrite18.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-log-exp_binary64`
3×	`sum-log_binary64` `*-un-lft-identity_binary64`
1×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `+-commutative_binary64`

Counts

1 → 14

Calls

1 calls:

10.0ms

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

Compiler

Compiled 198 to 46 computations (76.8% saved)

series26.0ms (2.4%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

22.0ms

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

Compiler

Compiled 160 to 124 computations (22.5% saved)

simplify128.0ms (11.8%)

Algorithm

1×	egg-herbie

Rules

825×	`distribute-rgt-in_binary64`
778×	`distribute-lft-in_binary64`
318×	`sub-neg_binary64`
275×	`associate-l_binary64`
193×	`times-frac_binary64`

Counts

26 → 22

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	315
1	96	288
2	252	276
3	823	273
4	3276	273
5	4446	273
6	4962	273
7	4976	273
8	4985	273
9	4827	273

prune11.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	2	23

Error

0.0b

Counts

23 → 2

Alt Table

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

Compiler

Compiled 160 to 47 computations (70.6% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (+.f64 y y) (*.f64 x x))

rewrite15.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-log-exp_binary64`
3×	`sum-log_binary64`
1×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `*-un-lft-identity_binary64` `flip-+_binary64` `associate-+l+_binary64` `+-commutative_binary64`

Counts

1 → 13

Calls

1 calls:

7.0ms

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

Compiler

Compiled 198 to 46 computations (76.8% saved)

series25.0ms (2.3%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

22.0ms

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

Compiler

Compiled 160 to 124 computations (22.5% saved)

simplify64.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

721×	`distribute-rgt-in_binary64`
667×	`distribute-lft-in_binary64`
459×	`associate-+l+_binary64`
414×	`associate-+r+_binary64`
272×	`unswap-sqr_binary64`

Counts

25 → 22

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	311
1	105	275
2	332	272
3	1094	272
4	4557	272
5	5122	272

prune6.0ms (0.6%)

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

0.0b

Counts

24 → 2

Alt Table

Status	Error	Program
	0.0b	(+.f64 (+.f64 y y) (*.f64 x x))
	0.0b	(+.f64 (+.f64 (*.f64 x x) y) y)

Compiler

Compiled 153 to 47 computations (69.3% saved)

regimes50.0ms (4.6%)

Accuracy

Total 0.0b remaining (77.7%)

Threshold costs 0.0b (77.7%)

Compiler

Compiled 264 to 168 computations (36.4% saved)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	8	10
2	8	10

end0.0ms (0%)

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

sample425.0ms (39.3%)

Algorithm

1×

intervals

Results

170.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 39 to 23 computations (41% saved)

Details

analyze280.0ms (25.9%)

sample13.0ms (1.2%)

simplify8.0ms (0.8%)

prune2.0ms (0.2%)

localize5.0ms (0.4%)

rewrite18.0ms (1.6%)

series26.0ms (2.4%)

simplify128.0ms (11.8%)

prune11.0ms (1%)

localize4.0ms (0.4%)

rewrite15.0ms (1.4%)

series25.0ms (2.3%)

simplify64.0ms (5.9%)

prune6.0ms (0.6%)

regimes50.0ms (4.6%)

simplify3.0ms (0.3%)

end0.0ms (0%)

sample425.0ms (39.3%)

Profiling