Metrics for Numeric.SpecFunctions:incompleteGamma from math-functions-0.1.5.2, B

analyze25.0ms (0.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
66.7%	50%	25%	0.1%	0%	25%	0%	4
66.7%	50%	25%	0.1%	0%	25%	0%	5
80%	50%	12.5%	0.1%	0%	37.5%	0%	6
80%	50%	12.5%	0.1%	0%	37.5%	0%	7
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	8
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	9
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	10
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	11
97%	50%	1.6%	0.1%	0%	48.4%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample6.5s (95.6%)

Results

1.5s	8256×	valid-rival
810.0ms	8249×	valid-sollya
33.0ms	222×	invalid-rival
162.0ms	221×	invalid-sollya
40.0ms	8×	exit-sollya

Bogosity

preprocess190.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

680×	`fma-define`
644×	`fma-neg`
487×	`distribute-lft-in`
476×	`distribute-rgt-in`
366×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	382
1	102	324
2	352	316
3	1453	288
4	4697	288
5	7896	288

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 (neg.f64 x))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 9 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(neg.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 (neg.f64 x))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 9 binary64)))) #s(literal 1 binary64))))
(neg.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 y)) (-.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 9 binary64)))) #s(literal 1 binary64)))

Outputs
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 (neg.f64 x))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 9 binary64)))) #s(literal 1 binary64)))
(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 (neg.f64 x)) (+.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))))
(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 (neg.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) (neg.f64 x)) (+.f64 y #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (neg.f64 x)) (+.f64 #s(literal -3 binary64) (.f64 #s(literal 3 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x)))))
(*.f64 (sqrt.f64 (neg.f64 x)) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)))
(neg.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 (neg.f64 x))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 9 binary64)))) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 (neg.f64 x))) (neg.f64 (+.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))))
(.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 (neg.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) (neg.f64 x)) (+.f64 y #s(literal -1 binary64)))))
(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x)))))
(*.f64 (sqrt.f64 (neg.f64 x)) (fma.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)))
(neg.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))))
(.f64 (neg.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (+.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))))
(.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 y)) (-.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 9 binary64)))) #s(literal 1 binary64)))
(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 y) (+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 9 binary64)))) #s(literal -1 binary64))))
(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 y) (+.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) y) #s(literal -1 binary64)))))
(.f64 (sqrt.f64 y) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) y) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 y) (fma.f64 #s(literal 3 binary64) x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) y))))

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))

Compiler

Compiled 32 to 24 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
3×	`1-exp`
3×	`+-commutative`
2×	`unsub-neg`
2×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	50
1	29	50
2	33	50
3	36	50
4	39	50
5	42	50

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))

Outputs

(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))

(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)))

soundness1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 16 to 13 computations (18.8% saved)

preprocess78.0ms (1.1%)

Compiler: Compiled 102 to 76 computations (25.5% saved)

Numeric.SpecFunctions:incompleteGamma from math-functions-0.1.5.2, B

analyze25.0ms (0.4%)

sample6.5s (95.6%)

preprocess190.0ms (2.8%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify5.0ms (0.1%)

soundness1.0ms (0%)

preprocess78.0ms (1.1%)

end0.0ms (0%)

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