Data.Colour.RGB:hslsv from colour-2.3.3, A

Time bar (total: 4.0s)

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample520.0ms (12.9%)

Memory
3.2MiB live, 1 023.6MiB allocated
Samples
315.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-div: 72.0ms (52.7% of total)
ival-add: 51.0ms (37.3% of total)
ival-true: 5.0ms (3.7% of total)
exact: 5.0ms (3.7% of total)
ival-assert: 3.0ms (2.2% of total)
Bogosity

preprocess22.0ms (0.6%)

Memory
1.2MiB live, 40.2MiB allocated
Algorithm
2×egg-herbie
Rules
82×sub-neg
70×div-sub
48×associate-/l*
48×distribute-rgt-in
40×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01532
13630
26730
314030
434830
552730
655930
758030
055
165
065
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (+ x y) 2)
Outputs
(/ (+ x y) 2)
(/.f64 (+.f64 x y) #s(literal 2 binary64))
Call 2
Inputs
(/ (+ x y) 2)
(/ (+ (neg x) y) 2)
(/ (+ x (neg y)) 2)
(neg (/ (+ (neg x) y) 2))
(neg (/ (+ x (neg y)) 2))
(/ (+ y x) 2)
Outputs
(/ (+ x y) 2)
(* (+ x y) 1/2)
(/ (+ (neg x) y) 2)
(* (- y x) 1/2)
(/ (+ x (neg y)) 2)
(* (- y x) -1/2)
(neg (/ (+ (neg x) y) 2))
(* (- y x) -1/2)
(neg (/ (+ x (neg y)) 2))
(* (- y x) 1/2)
(/ (+ y x) 2)
(* (+ x y) 1/2)
Symmetry

(sort x y)

explain48.0ms (1.2%)

Memory
28.8MiB live, 104.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (+.f64 x y) #s(literal 2 binary64))
00-0-y
00-0-#s(literal 2 binary64)
00-0-(+.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
24.0ms512×0valid
Compiler

Compiled 40 to 24 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (54.7% of total)
ival-add: 3.0ms (41% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval6.0ms (0.1%)

Memory
-41.1MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (+.f64 x y) #s(literal 2 binary64))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(/.f64 (+.f64 x y) #s(literal 2 binary64))
Rules
4×+-lowering-+.f64
4×+-lowering-+.f32
2×/-lowering-/.f32
2×/-lowering-/.f64
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
1611
0611
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (+ x y) 2)
(+ x y)
x
y
2
Outputs
(/ (+ x y) 2)
(/.f64 (+.f64 x y) #s(literal 2 binary64))
(+ x y)
(+.f64 x y)
x
y
2
#s(literal 2 binary64)

localize19.0ms (0.5%)

Memory
3.6MiB live, 40.0MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (+.f64 x y) #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 x y)
Samples
14.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (54.3% of total)
ival-add: 2.0ms (54.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
2 → 48
Calls
Call 1
Inputs
#<alt (/ (+ x y) 2)>
#<alt (+ x y)>
Outputs
#<alt (* 1/2 y)>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* 1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* 1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* 1/2 (/ x y))))>
#<alt (* y (+ 1/2 (* 1/2 (/ x y))))>
#<alt (* y (+ 1/2 (* 1/2 (/ x y))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ (+ x y) 2)
0.0ms
x
@-inf
(/ (+ x y) 2)
0.0ms
y
@inf
(/ (+ x y) 2)
0.0ms
x
@0
(/ (+ x y) 2)
0.0ms
y
@-inf
(/ (+ x y) 2)

rewrite555.0ms (13.7%)

Memory
1.5MiB live, 575.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 140×/-lowering-/.f32
5 140×/-lowering-/.f64
3 858×accelerator-lowering-fma.f32
3 858×accelerator-lowering-fma.f64
3 450×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1298
21808
317278
081988
Stop Event
1×iter limit
1×node limit
Counts
2 → 371
Calls
Call 1
Inputs
(/ (+ x y) 2)
(+ x y)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) #s(literal 2 binary64)))
(+.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 2 binary64)) (neg.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (-.f64 x y))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) (-.f64 x y)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) (-.f64 x y))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (-.f64 x y))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) (-.f64 x y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2 binary64)) (/.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)) (/.f64 y #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (-.f64 x y))) #s(literal -2 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 y (-.f64 y x))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 y (-.f64 y x))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y))))) (*.f64 #s(literal 2 binary64) (-.f64 x y))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y))))) (*.f64 #s(literal 2 binary64) (-.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (-.f64 x y))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x x) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (-.f64 x y))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (*.f64 y y) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y))))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y))))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 y y))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x x) (*.f64 y y))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (/.f64 (+.f64 x y) #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 y (-.f64 y x))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 y (-.f64 y x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (-.f64 x y)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (-.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (-.f64 x y))) (/.f64 (+.f64 x y) #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 x y)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 x y)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y)))))))
(-.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) (-.f64 y x))) (/.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (-.f64 y x))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 x y))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) (-.f64 x y)))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 2 binary64))))
(neg.f64 (/.f64 (+.f64 x y) #s(literal -2 binary64)))
(/.f64 (+.f64 x y) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) #s(literal -2 binary64))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 y (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 y (-.f64 y x)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (-.f64 (*.f64 x x) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 y (-.f64 y x)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))
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simplify559.0ms (13.8%)

Memory
6.3MiB live, 567.8MiB allocated
Algorithm
1×egg-herbie
Rules
17 664×accelerator-lowering-fma.f32
17 664×accelerator-lowering-fma.f64
2 856×+-lowering-+.f64
2 856×+-lowering-+.f32
2 768×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038168
1115168
2264168
3783168
41834168
52668168
63340168
73639168
83801168
93837168
106026168
08686168
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (+ 1/2 (* 1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* 1/2 x)
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (* 1/2 (/ x y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* y (+ 1/2 (* 1/2 (/ x y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* y (+ 1/2 (* 1/2 (/ x y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

eval49.0ms (1.2%)

Memory
-30.4MiB live, 123.1MiB allocated
Compiler

Compiled 11 599 to 1 096 computations (90.6% saved)

prune65.0ms (1.6%)

Memory
0.7MiB live, 122.8MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New4172419
Fresh000
Picked011
Done000
Total4173420
Accuracy
100.0%
Counts
420 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) #s(literal 2 binary64))
▶50.5%
(/.f64 y #s(literal 2 binary64))
▶49.9%
(/.f64 x #s(literal 2 binary64))
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify4.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 y #s(literal 2 binary64))
✓cost-diff0
(/.f64 x #s(literal 2 binary64))
Rules
4×/-lowering-/.f32
4×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0510
0510
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ x 2)
x
2
(/ y 2)
y
2
Outputs
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(/ y 2)
(/.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)

localize42.0ms (1%)

Memory
-8.3MiB live, 30.8MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 y #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 x #s(literal 2 binary64))
Samples
36.0ms256×0valid
Compiler

Compiled 12 to 7 computations (41.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 3.0ms (85.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (/ x 2)>
#<alt (/ y 2)>
Outputs
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/ x 2)
0.0ms
x
@0
(/ x 2)
0.0ms
x
@inf
(/ x 2)
0.0ms
y
@inf
(/ y 2)
0.0ms
y
@-inf
(/ y 2)

rewrite549.0ms (13.5%)

Memory
20.6MiB live, 538.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 736×accelerator-lowering-fma.f32
4 736×accelerator-lowering-fma.f64
4 170×*-lowering-*.f32
4 170×*-lowering-*.f64
2 984×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
1206
2636
32466
411756
089116
Stop Event
1×iter limit
1×node limit
Counts
2 → 712
Calls
Call 1
Inputs
(/ x 2)
(/ y 2)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64)))
(+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(exp.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (/.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)) (/.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 x (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 x (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
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(*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 y (-.f64 #s(literal 0 binary64) y)))
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(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))
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(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
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(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
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(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y))))
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(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 #s(literal 0 binary64) y)))
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(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) y))) (*.f64 y (*.f64 y y))) (*.f64 y y))
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(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/2 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y y))
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(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y (-.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y (*.f64 y y))) (*.f64 y y))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y)) y)

simplify10.0ms (0.2%)

Memory
-19.4MiB live, 19.5MiB allocated
Algorithm
1×egg-herbie
Rules
8×*-lowering-*.f32
8×*-lowering-*.f64
4×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0572
1772
0772
Stop Event
1×iter limit
1×saturated
Counts
24 → 24
Calls
Call 1
Inputs
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)

eval108.0ms (2.7%)

Memory
14.0MiB live, 162.5MiB allocated
Compiler

Compiled 8 891 to 1 130 computations (87.3% saved)

prune119.0ms (2.9%)

Memory
20.2MiB live, 231.6MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New7351736
Fresh000
Picked022
Done011
Total7354739
Accuracy
100.0%
Counts
739 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) #s(literal 2 binary64))
✓50.5%
(/.f64 y #s(literal 2 binary64))
✓49.9%
(/.f64 x #s(literal 2 binary64))
▶2.3%
(/.f64 x #s(literal -2 binary64))
Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify29.0ms (0.7%)

Memory
-30.5MiB live, 8.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x #s(literal -2 binary64))
Rules
2×/-lowering-/.f32
2×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035
035
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ x -2)
x
-2
Outputs
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)

localize12.0ms (0.3%)

Memory
32.0MiB live, 32.0MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x #s(literal -2 binary64))
Samples
7.0ms256×0valid
Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 2.0ms (90.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Counts
1 → 12
Calls
Call 1
Inputs
#<alt (/ x -2)>
Outputs
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ x -2)
0.0ms
x
@inf
(/ x -2)
0.0ms
x
@-inf
(/ x -2)

rewrite240.0ms (5.9%)

Memory
-25.9MiB live, 450.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 406×accelerator-lowering-fma.f32
3 406×accelerator-lowering-fma.f64
2 330×*-lowering-*.f32
2 330×*-lowering-*.f64
1 942×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
1133
2383
31393
46423
564103
083333
Stop Event
1×iter limit
1×node limit
Counts
1 → 341
Calls
Call 1
Inputs
(/ x -2)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x #s(literal -2 binary64)))
(+.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(exp.f64 (log.f64 (/.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -2 binary64) x))) (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -2 binary64) x)))))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64))) (/.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) (/.f64 x #s(literal -2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 x (pow.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 x (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 x #s(literal -2 binary64))) (sqrt.f64 (/.f64 x #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 x #s(literal -2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 x #s(literal -2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal -2 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) (sqrt.f64 (/.f64 x #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) (/.f64 (sqrt.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64))) x #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64))))) (sqrt.f64 (/.f64 x #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
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(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 x #s(literal -2 binary64))) (sqrt.f64 (/.f64 x #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (/.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 x #s(literal -2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 x #s(literal -2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64))))))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64))))))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64))))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64))))))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal -2 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) (sqrt.f64 (/.f64 x #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) (/.f64 (sqrt.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (pow.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64))) x)
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 x #s(literal -2 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64))))) (sqrt.f64 (/.f64 x #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 x #s(literal -2 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64)))) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal -2 binary64))))) (sqrt.f64 (/.f64 x #s(literal -2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 x #s(literal -2 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 x #s(literal -2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 x #s(literal -2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x x))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 x x)) x)

simplify6.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated
Algorithm
1×egg-herbie
Rules
4×*-lowering-*.f32
4×*-lowering-*.f64
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0336
1436
0436
Stop Event
1×iter limit
1×saturated
Counts
12 → 12
Calls
Call 1
Inputs
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
Outputs
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)

eval36.0ms (0.9%)

Memory
8.6MiB live, 84.8MiB allocated
Compiler

Compiled 4 144 to 555 computations (86.6% saved)

prune75.0ms (1.9%)

Memory
-7.1MiB live, 111.3MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3530353
Fresh000
Picked011
Done033
Total3534357
Accuracy
100.0%
Counts
357 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) #s(literal 2 binary64))
✓50.5%
(/.f64 y #s(literal 2 binary64))
✓49.9%
(/.f64 x #s(literal 2 binary64))
✓2.3%
(/.f64 x #s(literal -2 binary64))
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes23.0ms (0.6%)

Memory
-17.5MiB live, 21.8MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(/.f64 x #s(literal -2 binary64))
(/.f64 x #s(literal 2 binary64))
(/.f64 y #s(literal 2 binary64))
(/.f64 (+.f64 x y) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 x y) #s(literal 2 binary64))
Calls

4 calls:

16.0ms
x
2.0ms
y
2.0ms
(+.f64 x y)
2.0ms
(/.f64 (+.f64 x y) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (+.f64 x y) #s(literal 2 binary64))
100.0%1(+.f64 x y)
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(/.f64 x #s(literal -2 binary64))
(/.f64 x #s(literal 2 binary64))
(/.f64 y #s(literal 2 binary64))
Outputs
(/.f64 x #s(literal 2 binary64))
(/.f64 y #s(literal 2 binary64))
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
82.6%2x
85.1%2y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 x #s(literal -2 binary64))
(/.f64 x #s(literal 2 binary64))
Outputs
(/.f64 x #s(literal 2 binary64))
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
49.9%1x
49.9%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 x #s(literal -2 binary64))
Outputs
(/.f64 x #s(literal -2 binary64))
Calls

2 calls:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
2.3%1y
2.3%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch177.0ms (4.4%)

Memory
-29.7MiB live, 11.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
7.0ms
7.467985257698632e-93
4.3183788251575235e-91
Samples
4.0ms112×0valid
Compiler

Compiled 94 to 80 computations (14.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (66.3% of total)
ival-add: 1.0ms (66.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify7.0ms (0.2%)

Memory
6.9MiB live, 6.9MiB allocated
Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01221
11321
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) #s(literal 2 binary64))
(if (<=.f64 y #s(literal 5871356456934583/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (/.f64 x #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 x #s(literal -2 binary64))
Outputs
(/.f64 (+.f64 x y) #s(literal 2 binary64))
(if (<=.f64 y #s(literal 5871356456934583/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (/.f64 x #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 x #s(literal -2 binary64))

soundness663.0ms (16.4%)

Memory
7.0MiB live, 277.9MiB allocated
Rules
17 664×accelerator-lowering-fma.f32
17 664×accelerator-lowering-fma.f64
4 736×accelerator-lowering-fma.f32
4 736×accelerator-lowering-fma.f64
4 170×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
1206
2636
32466
411756
089116
038168
1115168
2264168
3783168
41834168
52668168
63340168
73639168
83801168
93837168
106026168
08686168
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 45 to 30 computations (33.3% saved)

preprocess86.0ms (2.1%)

Memory
12.6MiB live, 113.8MiB allocated
Remove

(sort x y)

Compiler

Compiled 88 to 54 computations (38.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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