Details

analyze144.0ms (10.3%)

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%	74.9%	0.1%	6
56.2%	43.7%	0.1%	7
56.2%	43.7%	0.1%	8
76.5%	23.4%	0.1%	9
76.5%	23.4%	0.1%	10
87.8%	12.1%	0.1%	11
87.8%	12.1%	0.1%	12
93.8%	6.1%	0.1%	13
93.8%	6.1%	0.1%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample899.0ms (64.5%)

Results

781.0ms

8256×

body

128

valid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify56.0ms (4%)

Algorithm

1×	egg-herbie

Rules

959×	`fma-neg_binary64`
595×	`times-frac_binary64`
494×	`neg-mul-1_binary64`
491×	`neg-sub0_binary64`
301×	`associate-/l*_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	52	10
3	113	10
4	203	10
5	436	10
6	758	10
7	2592	10
8	4299	10
9	5002	10

prune4.0ms (0.3%)

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

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
	18.7b	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 58 to 40 computations (31% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

series7.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

rewrite13.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64`
13×	`fma-def_binary64`
11×	`times-frac_binary64`
8×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`

Counts

1 → 29

Calls

1 calls:

12.0ms

(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

simplify86.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

889×	`div-sub_binary64`
786×	`sub-neg_binary64`
324×	`distribute-rgt-in_binary64`
310×	`associate-*l/_binary64`
292×	`distribute-lft-in_binary64`

Counts

53 → 44

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	466
1	128	436
2	336	435
3	1291	435
4	3780	435
5	4265	435
6	4960	435
7	5783	435

prune24.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	44	2	46

Error

Counts

46 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
▶	18.7b	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 617 to 453 computations (26.6% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	18.0b	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))

series8.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))

rewrite10.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-sqr-sqrt_binary64`
5×	`associate-/l*_binary64`

Counts

1 → 32

Calls

1 calls:

6.0ms

(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))

simplify53.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

749×	`fma-def_binary64`
658×	`times-frac_binary64`
546×	`associate-/r*_binary64`
522×	`associate-l_binary64`
490×	`div-sub_binary64`

Counts

56 → 50

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	826
1	241	704
2	891	655
3	4160	655
4	6127	655

prune19.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	50	2	52

Error

Counts

52 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
✓	18.7b	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 764 to 389 computations (49.1% saved)

regimes18.0ms (1.3%)

Accuracy

Total 0.0b remaining (34%)

Threshold costs 0.0b (34%)

Counts

4 → 1

Compiler

Compiled 124 to 88 computations (29% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	9	10
2	9	10

end42.0ms (3%)

Compiler: Compiled 38 to 28 computations (26.3% saved)

Details

analyze144.0ms (10.3%)

sample899.0ms (64.5%)

simplify56.0ms (4%)

prune4.0ms (0.3%)

localize4.0ms (0.3%)

series7.0ms (0.5%)

rewrite13.0ms (0.9%)

simplify86.0ms (6.2%)

prune24.0ms (1.7%)

localize5.0ms (0.4%)

series8.0ms (0.6%)

rewrite10.0ms (0.7%)

simplify53.0ms (3.8%)

prune19.0ms (1.3%)

regimes18.0ms (1.3%)

simplify2.0ms (0.1%)

end42.0ms (3%)

Profiling