Details

analyze89.0ms (8.1%)

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 (1.7%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 29 to 19 computations (34.5% saved)

simplify8.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

prune4.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 2

Alt Table

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

Compiler

Compiled 59 to 37 computations (37.3% saved)

localize5.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite40.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `associate-r_binary64`
3×	`associate-l_binary64`
2×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64` `associate-+l+_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-lft-out_binary64` `*-commutative_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

6.0ms	(*.f64 x (+.f64 x 2))
6.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))

Compiler

Compiled 552 to 295 computations (46.6% saved)

series49.0ms (4.4%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

29.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
10.0ms	(*.f64 x (+.f64 x 2))

Compiler

Compiled 380 to 277 computations (27.1% saved)

simplify77.0ms (7%)

Algorithm

1×	egg-herbie

Rules

475×	`distribute-rgt-in_binary64`
464×	`distribute-lft-in_binary64`
397×	`associate-l_binary64`
361×	`cancel-sign-sub-inv_binary64`
322×	`associate-r_binary64`

Counts

57 → 48

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	656
1	205	620
2	650	611
3	2434	611
4	4131	611
5	5011	611

prune25.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

0.0b

Counts

50 → 2

Alt Table

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

Compiler

Compiled 465 to 254 computations (45.4% saved)

localize6.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

rewrite29.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
2×	`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` `+-commutative_binary64`
1×	`distribute-lft-out_binary64` `associate-+l+_binary64`

Counts

2 → 25

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
3.0ms	(+.f64 (.f64 x 2) (.f64 x x))

Compiler

Compiled 521 to 236 computations (54.7% saved)

series46.0ms (4.2%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

31.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
11.0ms	(+.f64 (.f64 x 2) (.f64 x x))

Compiler

Compiled 380 to 277 computations (27.1% saved)

simplify93.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

465×	`cancel-sign-sub-inv_binary64`
410×	`distribute-rgt-out_binary64`
328×	`associate-l_binary64`
285×	`distribute-rgt-in_binary64`
284×	`distribute-lft-out_binary64`

Counts

46 → 38

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	601
1	195	550
2	615	541
3	2298	541
4	4422	541
5	4907	541
6	4973	541

prune16.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	38	2	40

Error

0.0b

Counts

40 → 2

Alt Table

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

Compiler

Compiled 322 to 180 computations (44.1% saved)

regimes89.0ms (8.1%)

Accuracy

Total 0.0b remaining (52.8%)

Threshold costs 0.0b (52.8%)

Compiler

Compiled 591 to 392 computations (33.7% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	12	16
2	12	16

end1.0ms (0.1%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

sample500.0ms (45.5%)

Algorithm

1×

intervals

Results

227.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 53 to 34 computations (35.8% saved)

Details

analyze89.0ms (8.1%)

sample18.0ms (1.7%)

simplify8.0ms (0.8%)

prune4.0ms (0.4%)

localize5.0ms (0.5%)

rewrite40.0ms (3.6%)

series49.0ms (4.4%)

simplify77.0ms (7%)

prune25.0ms (2.3%)

localize6.0ms (0.6%)

rewrite29.0ms (2.6%)

series46.0ms (4.2%)

simplify93.0ms (8.5%)

prune16.0ms (1.4%)

regimes89.0ms (8.1%)

simplify3.0ms (0.2%)

end1.0ms (0.1%)

sample500.0ms (45.5%)

Profiling