Details

analyze218.0ms (17.9%)

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
50%	50%	0.1%	6
56.2%	37.5%	6.3%	7
68.7%	25%	6.3%	8
71.8%	18.7%	9.5%	9
78%	12.5%	9.5%	10
79.6%	9.4%	11%	11
82.7%	6.2%	11%	12
83.6%	4.6%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample21.0ms (1.7%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify35.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

222×	`cancel-sign-sub-inv_binary64`
143×	`sub-neg_binary64`
82×	`associate--r+_binary64`
81×	`distribute-rgt-in_binary64`
77×	`distribute-neg-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	26	16
2	52	16
3	91	13
4	180	13
5	345	13
6	494	13
7	659	13
8	641	13
9	643	13
10	564	13

prune3.0ms (0.3%)

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

Counts

2 → 2

Alt Table

Status	Error	Program
	0.0b	(+.f64 (-.f64 (*.f64 y (+.f64 x -1/2)) x) 8277062471433911/9007199254740992)
▶	0.0b	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 8277062471433911/9007199254740992)

Compiler

Compiled 59 to 44 computations (25.4% saved)

localize7.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 x (-.f64 y 1))

rewrite26.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
7×	`associate-r_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`add-cube-cbrt_binary64`

Counts

1 → 32

Calls

1 calls:

5.0ms

(*.f64 x (-.f64 y 1))

Compiler

Compiled 498 to 362 computations (27.3% saved)

series14.0ms (1.2%)

Error

Counts

1 → 9

Calls

1 calls:

11.0ms

(*.f64 x (-.f64 y 1))

Compiler

Compiled 231 to 168 computations (27.3% saved)

simplify80.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

680×	`distribute-rgt-in_binary64`
661×	`distribute-lft-in_binary64`
535×	`associate--l+_binary64`
343×	`times-frac_binary64`
286×	`unsub-neg_binary64`

Counts

41 → 30

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	362
1	105	332
2	300	332
3	692	332
4	1793	332
5	2120	332
6	4760	332
7	5345	332

prune13.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	30	2	32

Error

Counts

32 → 2

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (-.f64 (*.f64 y (+.f64 x -1/2)) x) 8277062471433911/9007199254740992)
✓	0.0b	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 8277062471433911/9007199254740992)

Compiler

Compiled 300 to 216 computations (28% saved)

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 y (+.f64 x -1/2)) x)
0.0b	(*.f64 y (+.f64 x -1/2))

rewrite30.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

2 → 39

Calls

2 calls:

5.0ms	(-.f64 (*.f64 y (+.f64 x -1/2)) x)
4.0ms	(*.f64 y (+.f64 x -1/2))

Compiler

Compiled 576 to 391 computations (32.1% saved)

series36.0ms (2.9%)

Error

Counts

2 → 21

Calls

2 calls:

14.0ms	(-.f64 (*.f64 y (+.f64 x -1/2)) x)
12.0ms	(*.f64 y (+.f64 x -1/2))

Compiler

Compiled 470 to 334 computations (28.9% saved)

simplify74.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

456×	`associate-l_binary64`
389×	`associate-r_binary64`
339×	`distribute-rgt-in_binary64`
332×	`distribute-lft-in_binary64`
287×	`distribute-rgt-neg-out_binary64`

Counts

60 → 49

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	598
1	225	577
2	627	571
3	2261	571
4	4495	571
5	5184	571

prune18.0ms (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

51 → 2

Alt Table

Status	Error	Program
	0.0b	(+.f64 (-.f64 (*.f64 y (+.f64 x -1/2)) x) 8277062471433911/9007199254740992)
	0.0b	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 8277062471433911/9007199254740992)

Compiler

Compiled 461 to 314 computations (31.9% saved)

regimes61.0ms (5%)

Accuracy

Total 0.0b remaining (87.3%)

Threshold costs 0.0b (87.3%)

Compiler

Compiled 608 to 468 computations (23% saved)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`distribute-rgt-neg-in_binary64`
2×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	24	16
2	34	16
3	38	16
4	40	16
5	37	16

end0.0ms (0%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

sample573.0ms (47%)

Algorithm

1×

intervals

Results

328.0ms	7997×	body	128	valid
3.0ms	86×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 53 to 41 computations (22.6% saved)

Iter	Nodes	Cost
0	11	16
1	26	16
2	52	16
3	91	13
4	180	13
5	345	13
6	494	13
7	659	13
8	641	13
9	643	13
10	564	13

Iter	Nodes	Cost
0	11	16
1	26	16
2	52	16
3	91	13
4	180	13
5	345	13
6	494	13
7	659	13
8	641	13
9	643	13
10	564	13

Details

analyze218.0ms (17.9%)

sample21.0ms (1.7%)

simplify35.0ms (2.8%)

prune3.0ms (0.3%)

localize7.0ms (0.5%)

rewrite26.0ms (2.1%)

series14.0ms (1.2%)

simplify80.0ms (6.6%)

prune13.0ms (1%)

localize6.0ms (0.5%)

rewrite30.0ms (2.5%)

series36.0ms (2.9%)

simplify74.0ms (6.1%)

prune18.0ms (1.5%)

regimes61.0ms (5%)

simplify3.0ms (0.3%)

end0.0ms (0%)

sample573.0ms (47%)

Profiling

Iter	Nodes	Cost
0	11	16
1	26	16
2	52	16
3	91	13
4	180	13
5	345	13
6	494	13
7	659	13
8	641	13
9	643	13
10	564	13