Details

analyze116.0ms (10.4%)

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%	62.4%	12.6%	6
25%	40.6%	34.4%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample18.0ms (1.6%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 29 to 19 computations (34.5% saved)

simplify9.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`
2×	`*-commutative_binary64`
1×	`distribute-lft-out_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	16	13
2	24	13
3	24	13
4	24	13

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	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 x (+.f64 x 2)) (.f64 y y))

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize5.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 x 2))
0.0b	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))

rewrite29.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 36

Calls

2 calls:

7.0ms	(*.f64 x (+.f64 x 2))
5.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))

Compiler

Compiled 552 to 295 computations (46.6% saved)

series35.0ms (3.1%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

22.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
7.0ms	(*.f64 x (+.f64 x 2))

Compiler

Compiled 380 to 277 computations (27.1% saved)

simplify79.0ms (7%)

Algorithm

1×	egg-herbie

Rules

445×	`distribute-rgt-in_binary64`
434×	`distribute-lft-in_binary64`
400×	`associate-l_binary64`
361×	`cancel-sign-sub-inv_binary64`
322×	`associate-r_binary64`

Counts

57 → 49

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	656
1	203	620
2	641	611
3	2393	611
4	4118	611
5	4997	611

prune18.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	2	50

Error

Counts

50 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
▶	0.0b	(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 2 x)))

Compiler

Compiled 474 to 258 computations (45.6% saved)

localize6.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 y y) (.f64 2 x))
0.0b	(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 2 x)))

rewrite19.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
2×	`+-commutative_binary64`
2×	`flip-+_binary64`
2×	`*-un-lft-identity_binary64`

Counts

2 → 24

Calls

2 calls:

5.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 2 x)))
3.0ms	(+.f64 (.f64 y y) (.f64 2 x))

Compiler

Compiled 512 to 232 computations (54.7% saved)

series45.0ms (4%)

Error

Counts

2 → 27

Calls

2 calls:

23.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 2 x)))
18.0ms	(+.f64 (.f64 y y) (.f64 2 x))

Compiler

Compiled 485 to 349 computations (28% saved)

simplify95.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

437×	`sub-neg_binary64`
425×	`cancel-sign-sub-inv_binary64`
311×	`distribute-rgt-in_binary64`
273×	`distribute-lft-in_binary64`
268×	`unswap-sqr_binary64`

Counts

51 → 45

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	762
1	196	642
2	608	636
3	2190	636
4	4285	636
5	4995	636
6	4953	636

prune11.0ms (1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	45	2	47

Error

Counts

47 → 2

Alt Table

Status	Error	Program
	0.0b	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
	0.0b	(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 2 x)))

Compiler

Compiled 381 to 145 computations (61.9% saved)

regimes105.0ms (9.4%)

Accuracy

Total 0.0b remaining (51.7%)

Threshold costs 0.0b (51.7%)

Compiler

Compiled 1012 to 664 computations (34.4% saved)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	11	13
2	11	13

end0.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

sample524.0ms (46.8%)

Algorithm

1×

intervals

Results

283.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 51 to 33 computations (35.3% saved)

Details

analyze116.0ms (10.4%)

sample18.0ms (1.6%)

simplify9.0ms (0.8%)

prune3.0ms (0.2%)

localize5.0ms (0.5%)

rewrite29.0ms (2.6%)

series35.0ms (3.1%)

simplify79.0ms (7%)

prune18.0ms (1.6%)

localize6.0ms (0.6%)

rewrite19.0ms (1.7%)

series45.0ms (4%)

simplify95.0ms (8.5%)

prune11.0ms (1%)

regimes105.0ms (9.4%)

simplify3.0ms (0.3%)

end0.0ms (0%)

sample524.0ms (46.8%)

Profiling