Details

analyze3.2s (14.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	199.8%	-99.8%	0%	0%	0%	1
0%	0%	399.6%	-299.6%	0%	0%	0%	2
0%	0%	799.2%	-699.2%	0%	0%	0%	3
0%	0%	1598.4%	-1498.4%	0%	0%	0%	4
0%	0%	3196.9%	-3096.9%	0%	0%	0%	5
0%	0%	6393.8%	-6293.8%	0%	0%	0%	6
0%	0%	12787.5%	-12687.5%	0%	0%	0%	7
0%	0%	25575%	-25475%	0%	0%	0%	8
0%	0%	51150%	-51050%	0%	0%	0%	9
0%	0%	102300%	-102200%	0%	0%	0%	10
0%	0%	204600%	-204500%	0%	0%	0%	11
0%	0%	409200.1%	-409100.1%	0%	0%	0%	12

Compiler

Compiled 17 to 14 computations (17.6% saved)

sample15.3s (69.5%)

Results

8.0s	7472×	body	8192	exit
4.4s	15737×	body	256	invalid
2.5s	7315×	body	256	valid
320.0ms	941×	body	256	infinite

Bogosity

preprocess572.0ms (2.6%)

Algorithm

2×	egg-herbie

Rules

3704×	`fma-def`
1500×	`fma-neg`
936×	`div-sub`
820×	`cancel-sign-sub-inv`
728×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	82
1	48	70
2	102	70
3	212	70
4	450	62
5	848	62
6	1717	62
7	3262	62
8	4614	62
9	4841	62
10	5205	62
11	5855	62
12	6125	62
13	7153	62
14	7365	62
15	7797	62
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1 (.f64 y 9))) (/.f64 x (.f64 3 (sqrt.f64 y))))

Outputs
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (/.f64 y (*.f64 3 (sqrt.f64 x)))))
(+.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 (/.f64 y 3) (sqrt.f64 x))))
(+.f64 1 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) (/.f64 -1/9 x)))
(+.f64 (/.f64 -1/9 x) (fma.f64 (/.f64 y (sqrt.f64 x)) -1/3 1))
(-.f64 (-.f64 1 (/.f64 1 (.f64 y 9))) (/.f64 x (.f64 3 (sqrt.f64 y))))
(-.f64 (-.f64 1 (/.f64 1 (.f64 9 y))) (/.f64 x (.f64 3 (sqrt.f64 y))))
(-.f64 (-.f64 1 (/.f64 1/9 y)) (/.f64 x (*.f64 3 (sqrt.f64 y))))
(+.f64 1 (-.f64 (/.f64 -1/9 y) (/.f64 x (*.f64 3 (sqrt.f64 y)))))
(+.f64 1 (-.f64 (/.f64 -1/9 y) (/.f64 (/.f64 x 3) (sqrt.f64 y))))
(+.f64 1 (fma.f64 -1/3 (/.f64 x (sqrt.f64 y)) (/.f64 -1/9 y)))
(+.f64 1 (fma.f64 (/.f64 x (sqrt.f64 y)) -1/3 (/.f64 -1/9 y)))

Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1536×	`fma-def`
386×	`cancel-sign-sub-inv`
242×	`associate-r`
218×	`associate-/r*`
162×	`distribute-lft-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	29	35
2	58	35
3	117	35
4	240	31
5	451	31
6	863	31
7	1584	31
8	2512	31
9	2545	31
10	2569	31

Stop Event

1×

saturated

Counts

1 → 8

Calls

Call 1

Inputs
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))

Outputs
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
(-.f64 1 (+.f64 (/.f64 1 (*.f64 x 9)) (/.f64 (/.f64 y 3) (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(+.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x)))))
(+.f64 1 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (/.f64 y (sqrt.f64 x)) -1/3 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))

eval2.0ms (0%)

Compiler: Compiled 99 to 67 computations (32.3% saved)

prune5.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	4	4	8
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	4	9

Accurracy

99.8%

Counts

9 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
▶	99.6%	(-.f64 1 (+.f64 (/.f64 1 (*.f64 x 9)) (/.f64 (/.f64 y 3) (sqrt.f64 x))))
▶	99.5%	(+.f64 1 (fma.f64 (/.f64 y (sqrt.f64 x)) -1/3 (/.f64 -1/9 x)))
▶	99.5%	(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))
▶	99.5%	(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
▶	99.6%	(-.f64 1 (+.f64 (/.f64 1 (*.f64 x 9)) (/.f64 (/.f64 y 3) (sqrt.f64 x))))
▶	99.5%	(+.f64 1 (fma.f64 (/.f64 y (sqrt.f64 x)) -1/3 (/.f64 -1/9 x)))
▶	99.5%	(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))

Compiler

Compiled 112 to 88 computations (21.4% saved)

localize2.4s (11%)

Compiler: Compiled 158 to 93 computations (41.1% saved)

eval1.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune23.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	4	4
Done	0	0
Total	4	4

Accurracy

99.8%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
✓	99.6%	(-.f64 1 (+.f64 (/.f64 1 (*.f64 x 9)) (/.f64 (/.f64 y 3) (sqrt.f64 x))))
✓	99.5%	(+.f64 1 (fma.f64 (/.f64 y (sqrt.f64 x)) -1/3 (/.f64 -1/9 x)))
✓	99.5%	(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))

Compiler

Compiled 120 to 89 computations (25.8% saved)

regimes67.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

Inputs
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 1 (+.f64 (/.f64 1 (*.f64 x 9)) (/.f64 (/.f64 y 3) (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (/.f64 y (sqrt.f64 x)) -1/3 (/.f64 -1/9 x)))

Outputs
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))

Calls

3 calls:

25.0ms	y
18.0ms	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
17.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))`

Compiler

Compiled 86 to 62 computations (27.9% saved)

regimes38.0ms (0.2%)

Counts

2 → 1

Calls

Call 1

Inputs
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 1 (+.f64 (/.f64 1 (*.f64 x 9)) (/.f64 (/.f64 y 3) (sqrt.f64 x))))

Outputs
(-.f64 1 (+.f64 (/.f64 1 (*.f64 x 9)) (/.f64 (/.f64 y 3) (sqrt.f64 x))))

Calls

2 calls:

14.0ms	y
14.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes18.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))

Outputs
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))

Calls

2 calls:

14.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`y`

Compiler

Compiled 20 to 15 computations (25% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

64×	`unsub-neg`
50×	`neg-mul-1`
30×	`+-commutative`
28×	`sub-neg`
24×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	117
1	37	117
2	60	117
3	80	117
4	97	117
5	135	117
6	199	117
7	201	117

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))

(-.f64 1 (+.f64 (/.f64 1 (*.f64 x 9)) (/.f64 (/.f64 y 3) (sqrt.f64 x))))

(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))

Outputs
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
(-.f64 1 (+.f64 (/.f64 1 (*.f64 x 9)) (/.f64 (/.f64 y 3) (sqrt.f64 x))))
(+.f64 1 (-.f64 (/.f64 -1 (*.f64 x 9)) (/.f64 (/.f64 y 3) (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))

Compiler

Compiled 46 to 37 computations (19.6% saved)

soundness252.0ms (1.1%)

Rules

1536×	`fma-def`
1536×	`fma-def`
386×	`cancel-sign-sub-inv`
386×	`cancel-sign-sub-inv`
242×	`associate-r`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	29	35
2	58	35
3	117	35
4	240	31
5	451	31
6	863	31
7	1584	31
8	2512	31
9	2545	31
10	2569	31
0	15	41
1	29	35
2	58	35
3	117	35
4	240	31
5	451	31
6	863	31
7	1584	31
8	2512	31
9	2545	31
10	2569	31

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 128 to 94 computations (26.6% saved)

end69.0ms (0.3%)

Compiler: Compiled 148 to 114 computations (23% saved)

Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, D

Details

analyze3.2s (14.5%)

sample15.3s (69.5%)

preprocess572.0ms (2.6%)

simplify66.0ms (0.3%)

eval2.0ms (0%)

prune5.0ms (0%)

localize2.4s (11%)

eval1.0ms (0%)

prune23.0ms (0.1%)

regimes67.0ms (0.3%)

regimes38.0ms (0.2%)

regimes18.0ms (0.1%)

simplify8.0ms (0%)

soundness252.0ms (1.1%)

end69.0ms (0.3%)

Profiling