Details

analyze76.0ms (3.3%)

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
25%	74.9%	0.1%	3
37.5%	62.4%	0.1%	4
56.2%	43.7%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.1s (48.3%)

Results

953.0ms

8256×

body

128

valid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify79.0ms (3.4%)

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

prune5.0ms (0.2%)

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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
	14.1b	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 58 to 40 computations (31% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series14.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

13.0ms

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

rewrite23.0ms (1%)

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:

20.0ms

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

simplify119.0ms (5.2%)

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

prune32.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Error

Counts

46 → 3

Alt Table

Status	Error	Program
	31.9b	(fma.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x))
✓	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
▶	14.1b	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 645 to 475 computations (26.4% saved)

localize11.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.1b	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))

series10.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

9.0ms

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

rewrite9.0ms (0.4%)

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:

7.0ms

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

simplify65.0ms (2.8%)

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

prune29.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	51	2	53

Error

Counts

53 → 2

Alt Table

Status	Error	Program
▶	14.0b	(/.f64 1 (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)))
✓	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

Compiler

Compiled 779 to 400 computations (48.7% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)))
✓	14.1b	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))

series65.0ms (2.8%)

Counts

2 → 48

Calls

2 calls:

56.0ms	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
9.0ms	(/.f64 1 (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)))

rewrite43.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`times-frac_binary64`
45×	`add-exp-log_binary64`
36×	`*-un-lft-identity_binary64`
36×	`add-sqr-sqrt_binary64`
25×	`add-cbrt-cube_binary64`

Counts

2 → 109

Calls

2 calls:

19.0ms	(/.f64 1 (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)))
9.0ms	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))

simplify154.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

558×	`associate-/r/_binary64`
557×	`associate-*r/_binary64`
525×	`associate-/l/_binary64`
288×	`fma-def_binary64`
176×	`distribute-rgt-in_binary64`

Counts

157 → 166

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	3104
1	428	2645
2	1748	2500
3	4897	2497
4	4953	2497

prune153.0ms (6.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	166	2	168

Error

Counts

168 → 2

Alt Table

Status	Error	Program
✓	14.0b	(/.f64 1 (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)))
✓	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

Compiler

Compiled 3147 to 1733 computations (44.9% saved)

regimes102.0ms (4.4%)

Accuracy

Total 0.0b remaining (28.1%)

Threshold costs 0.0b (28.1%)

Counts

16 → 1

Compiler

Compiled 569 to 406 computations (28.6% saved)

simplify4.0ms (0.2%)

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

end182.0ms (7.9%)

Compiler: Compiled 40 to 30 computations (25% saved)

Details

analyze76.0ms (3.3%)

sample1.1s (48.3%)

simplify79.0ms (3.4%)

prune5.0ms (0.2%)

localize8.0ms (0.4%)

series14.0ms (0.6%)

rewrite23.0ms (1%)

simplify119.0ms (5.2%)

prune32.0ms (1.4%)

localize11.0ms (0.5%)

series10.0ms (0.4%)

rewrite9.0ms (0.4%)

simplify65.0ms (2.8%)

prune29.0ms (1.3%)

localize7.0ms (0.3%)

series65.0ms (2.8%)

rewrite43.0ms (1.9%)

simplify154.0ms (6.7%)

prune153.0ms (6.7%)

regimes102.0ms (4.4%)

simplify4.0ms (0.2%)

end182.0ms (7.9%)

Profiling