Details

analyze304.0ms (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
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)

sample15.0ms (0.9%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 25 to 17 computations (32% saved)

simplify141.0ms (8.3%)

Algorithm

1×	egg-herbie

Rules

761×	`div-sub_binary64`
595×	`times-frac_binary64`
506×	`neg-mul-1_binary64`
502×	`neg-sub0_binary64`
378×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	52	10
3	112	10
4	200	10
5	417	10
6	697	10
7	2421	10
8	3775	10
9	3836	10
10	4261	10
11	4709	10
12	4977	10
13	5248	10

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite16.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`*-un-lft-identity_binary64`
3×	`add-log-exp_binary64`
2×	`distribute-lft-out_binary64`
2×	`times-frac_binary64`
1×	`+-commutative_binary64`

Counts

1 → 14

Calls

1 calls:

9.0ms

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

Compiler

Compiled 202 to 154 computations (23.8% saved)

series22.0ms (1.3%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

20.0ms

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

Compiler

Compiled 205 to 171 computations (16.6% saved)

simplify87.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

884×	`div-sub_binary64`
324×	`distribute-rgt-in_binary64`
310×	`associate-*l/_binary64`
292×	`distribute-lft-in_binary64`
267×	`neg-mul-1_binary64`

Counts

26 → 16

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	326
1	121	296
2	311	293
3	1160	293
4	3527	293
5	4260	293
6	4996	293
7	4853	293

prune6.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Error

0.0b

Counts

17 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
▶	32.1b	(*.f64 (sqrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (sqrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))))

Compiler

Compiled 193 to 147 computations (23.8% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
0.1b	(sqrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
0.1b	(sqrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
0.2b	(*.f64 (sqrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (sqrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))))

rewrite172.0ms (10.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

137×	`add-sqr-sqrt_binary64`
97×	`*-un-lft-identity_binary64`
82×	`sqrt-prod_binary64`
79×	`times-frac_binary64`
37×	`distribute-lft-out--_binary64`

Counts

4 → 179

Calls

4 calls:

29.0ms	(*.f64 (sqrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (sqrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
11.0ms	(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
9.0ms	(sqrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
9.0ms	(sqrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))

Compiler

Compiled 4476 to 3477 computations (22.3% saved)

series131.0ms (7.7%)

Error

0.0b

Counts

4 → 52

Calls

4 calls:

37.0ms	(sqrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
32.0ms	(sqrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
28.0ms	(*.f64 (sqrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (sqrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
20.0ms	(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))

Compiler

Compiled 2496 to 2092 computations (16.2% saved)

simplify160.0ms (9.4%)

Algorithm

1×	egg-herbie

Rules

368×	`associate-*l/_binary64`
347×	`associate-/r*_binary64`
315×	`associate-/l*_binary64`
308×	`associate-*r/_binary64`
260×	`times-frac_binary64`

Counts

231 → 166

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	249	4657
1	514	4297
2	1581	4199
3	4555	4183
4	5063	4183

prune52.0ms (3%)

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

0.0b

Counts

168 → 2

Alt Table

Status	Error	Program
	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
	32.1b	(*.f64 (sqrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (sqrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))))

Compiler

Compiled 2167 to 1622 computations (25.1% saved)

regimes42.0ms (2.5%)

Accuracy

Total 0.0b remaining (13.2%)

Threshold costs 0.0b (13.2%)

Compiler

Compiled 400 to 316 computations (21% saved)

simplify3.0ms (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

end0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

sample537.0ms (31.5%)

Algorithm

1×

intervals

Results

304.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 51 to 39 computations (23.5% saved)

Details

analyze304.0ms (17.9%)

sample15.0ms (0.9%)

simplify141.0ms (8.3%)

prune3.0ms (0.2%)

localize4.0ms (0.2%)

rewrite16.0ms (0.9%)

series22.0ms (1.3%)

simplify87.0ms (5.1%)

prune6.0ms (0.4%)

localize7.0ms (0.4%)

rewrite172.0ms (10.1%)

series131.0ms (7.7%)

simplify160.0ms (9.4%)

prune52.0ms (3%)

regimes42.0ms (2.5%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample537.0ms (31.5%)

Profiling