Details

analyze468.0ms (25.1%)

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
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
31.2%	68.6%	0.1%	8
39%	56.2%	4.8%	9
50.7%	43.7%	5.6%	10
60.3%	33.7%	6%	11
64.6%	26.5%	8.9%	12
70.5%	20.3%	9.2%	13
74.6%	16.1%	9.4%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample16.0ms (0.9%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
3×	`associate-+l+_binary64` `associate-+r+_binary64`
1×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	14	13
2	20	13
3	20	13
4	20	13

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	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 (/.f64 x 2) (*.f64 y x)) z)

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite35.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64` `*-un-lft-identity_binary64`
2×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`
1×	`distribute-lft-out_binary64` `associate-+l+_binary64`

Counts

2 → 25

Calls

2 calls:

8.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
6.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))

Compiler

Compiled 445 to 232 computations (47.9% saved)

series60.0ms (3.2%)

Error

0.0b

Counts

2 → 27

Calls

2 calls:

31.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
18.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))

Compiler

Compiled 502 to 325 computations (35.3% saved)

simplify86.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

367×	`associate-l_binary64`
366×	`cancel-sign-sub-inv_binary64`
329×	`sub-neg_binary64`
279×	`distribute-rgt-out_binary64`
264×	`associate-r_binary64`

Counts

52 → 34

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	670
1	183	643
2	491	628
3	1474	622
4	2686	622
5	4484	622
6	5010	622

prune21.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	2	35

Error

Counts

35 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
▶	30.0b	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x y) (/.f64 x 2))) (sqrt.f64 (+.f64 (*.f64 x y) (/.f64 x 2)))) z)

Compiler

Compiled 390 to 218 computations (44.1% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x y) (/.f64 x 2))) (sqrt.f64 (+.f64 (*.f64 x y) (/.f64 x 2)))) z)
0.0b	(sqrt.f64 (+.f64 (*.f64 x y) (/.f64 x 2)))
0.0b	(sqrt.f64 (+.f64 (*.f64 x y) (/.f64 x 2)))
0.3b	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (/.f64 x 2))) (sqrt.f64 (+.f64 (*.f64 x y) (/.f64 x 2))))

rewrite147.0ms (7.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`add-sqr-sqrt_binary64`
30×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`

Counts

4 → 105

Calls

4 calls:

17.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (/.f64 x 2))) (sqrt.f64 (+.f64 (*.f64 x y) (/.f64 x 2))))
16.0ms	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x y) (/.f64 x 2))) (sqrt.f64 (+.f64 (*.f64 x y) (/.f64 x 2)))) z)
6.0ms	(sqrt.f64 (+.f64 (*.f64 x y) (/.f64 x 2)))
6.0ms	(sqrt.f64 (+.f64 (*.f64 x y) (/.f64 x 2)))

Compiler

Compiled 2801 to 1581 computations (43.6% saved)

series124.0ms (6.6%)

Error

Counts

4 → 44

Calls

4 calls:

37.0ms	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x y) (/.f64 x 2))) (sqrt.f64 (+.f64 (*.f64 x y) (/.f64 x 2)))) z)
26.0ms	(sqrt.f64 (+.f64 (*.f64 x y) (/.f64 x 2)))
24.0ms	(sqrt.f64 (+.f64 (*.f64 x y) (/.f64 x 2)))
21.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (/.f64 x 2))) (sqrt.f64 (+.f64 (*.f64 x y) (/.f64 x 2))))

Compiler

Compiled 1816 to 1261 computations (30.6% saved)

simplify112.0ms (6%)

Algorithm

1×	egg-herbie

Rules

402×	`unswap-sqr_binary64`
367×	`times-frac_binary64`
349×	`cancel-sign-sub-inv_binary64`
254×	`*-commutative_binary64`
247×	`distribute-rgt-in_binary64`

Counts

149 → 104

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	2723
1	356	2527
2	1085	2382
3	3056	2348
4	4962	2348

prune51.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	104	2	106

Error

Counts

106 → 2

Alt Table

Status	Error	Program
	0.0b	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
	30.0b	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x y) (/.f64 x 2))) (sqrt.f64 (+.f64 (*.f64 x y) (/.f64 x 2)))) z)

Compiler

Compiled 1382 to 790 computations (42.8% saved)

regimes153.0ms (8.2%)

Accuracy

Total 0.0b remaining (9.3%)

Threshold costs 0.0b (9.3%)

Compiler

Compiled 1493 to 1033 computations (30.8% 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	13
1	12	13
2	12	13

end2.0ms (0.1%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

sample561.0ms (30.1%)

Algorithm

1×

intervals

Results

236.0ms	7998×	body	128	valid
9.0ms	340×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 62 to 42 computations (32.3% saved)

Details

analyze468.0ms (25.1%)

sample16.0ms (0.9%)

simplify8.0ms (0.5%)

prune3.0ms (0.1%)

localize7.0ms (0.4%)

rewrite35.0ms (1.9%)

series60.0ms (3.2%)

simplify86.0ms (4.6%)

prune21.0ms (1.1%)

localize9.0ms (0.5%)

rewrite147.0ms (7.9%)

series124.0ms (6.6%)

simplify112.0ms (6%)

prune51.0ms (2.7%)

regimes153.0ms (8.2%)

simplify3.0ms (0.2%)

end2.0ms (0.1%)

sample561.0ms (30.1%)

Profiling