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

Time bar (total: 10.8s)

analyze37.0ms (0.3%)

Memory
-2.8MiB live, 35.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
79.7%79.6%20.3%0.1%0%0%0%7
83.6%83.5%16.4%0.1%0%0%0%8
90.2%90.1%9.8%0.1%0%0%0%9
92%91.9%8%0.1%0%0%0%10
95.2%95.1%4.8%0.1%0%0%0%11
96%96%4%0.1%0%0%0%12
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample2.3s (21.4%)

Memory
-1.6MiB live, 1 187.4MiB allocated
Samples
2.1s8 250×0valid
0.0ms4×2valid
0.0ms2×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-sub: 644.0ms (53.8% of total)
ival-div: 281.0ms (23.5% of total)
ival-add: 258.0ms (21.6% of total)
ival-true: 6.0ms (0.5% of total)
exact: 5.0ms (0.4% of total)
ival-assert: 3.0ms (0.3% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess92.0ms (0.9%)

Memory
1.0MiB live, 121.1MiB allocated
Algorithm
1×egg-herbie
Rules
464×accelerator-lowering-fma.f32
464×accelerator-lowering-fma.f64
312×unsub-neg
260×div-sub
226×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951
16647
216846
349445
4109545
5163245
6188545
7199145
8204945
9206245
079
1179
2349
3759
41829
53429
66129
79009
89449
99609
109619
09619
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (- x y) (- 2 (+ x y)))
Outputs
(/ (- x y) (- 2 (+ x y)))
(/.f64 (-.f64 x y) (-.f64 (-.f64 #s(literal 2 binary64) y) x))

explain123.0ms (1.1%)

Memory
15.3MiB live, 212.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 2 binary64)
00-0-y
00-0-(-.f64 x y)
00-0-(+.f64 x y)
00-0-(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
00-0-(-.f64 #s(literal 2 binary64) (+.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
46.0ms510×0valid
0.0ms2×1valid
Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-sub: 25.0ms (77.1% of total)
ival-div: 3.0ms (9.3% of total)
ival-add: 3.0ms (9.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify32.0ms (0.3%)

Memory
1.8MiB live, 40.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Rules
464×accelerator-lowering-fma.f32
464×accelerator-lowering-fma.f64
224×*-lowering-*.f32
224×*-lowering-*.f64
152×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
11723
23423
37523
418223
534223
661223
790023
894423
996023
1096123
096123
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (- x y) (- 2 (+ x y)))
(- x y)
x
y
(- 2 (+ x y))
2
(+ x y)
Outputs
(/ (- x y) (- 2 (+ x y)))
(/.f64 (-.f64 x y) (-.f64 (-.f64 #s(literal 2 binary64) y) x))
(- x y)
(-.f64 x y)
x
y
(- 2 (+ x y))
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
2
#s(literal 2 binary64)
(+ x y)
(+.f64 x y)

localize25.0ms (0.2%)

Memory
-22.5MiB live, 58.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓accuracy100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Samples
16.0ms255×0valid
0.0ms1×1valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (37.1% of total)
ival-add: 2.0ms (24.7% of total)
ival-sub: 2.0ms (24.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (/ (- x y) (- 2 (+ x y)))>
#<alt (- x y)>
#<alt (- 2 (+ x y))>
#<alt (+ x y)>
Outputs
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (- 2 y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (- 2 x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<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

24 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(/ (- x y) (- 2 (+ x y)))
1.0ms
x
@0
(/ (- x y) (- 2 (+ x y)))
1.0ms
x
@inf
(/ (- x y) (- 2 (+ x y)))
1.0ms
y
@0
(/ (- x y) (- 2 (+ x y)))
0.0ms
y
@-inf
(/ (- x y) (- 2 (+ x y)))

rewrite355.0ms (3.3%)

Memory
-13.4MiB live, 545.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 750×accelerator-lowering-fma.f32
4 750×accelerator-lowering-fma.f64
4 670×*-lowering-*.f32
4 670×*-lowering-*.f64
4 200×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
15620
252120
3774520
0846720
Stop Event
1×iter limit
1×node limit
Counts
4 → 607
Calls
Call 1
Inputs
(/ (- x y) (- 2 (+ x y)))
(- x y)
(- 2 (+ x y))
(+ x y)
Outputs
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(+.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64))) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64))) #s(literal 4 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64))) (fma.f64 (+.f64 x y) (+.f64 x y) #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (+.f64 x y)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (+.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) y))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (+.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) x))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) (*.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64)))) (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64)))))
(+.f64 (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64)))))
(+.f64 (*.f64 (fma.f64 (+.f64 x y) (+.f64 x y) #s(literal 4 binary64)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))) (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))))
(+.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))))
(+.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))) (*.f64 y (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))))
(+.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))) (*.f64 x (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(-.f64 (/.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (*.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
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(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64))))
(fma.f64 (*.f64 y (+.f64 x y)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) y (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (*.f64 x y) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64))))
(fma.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x x) (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y (+.f64 x y))))
(fma.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y (+.f64 x y)) (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x y)))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (fma.f64 x (+.f64 x y) (*.f64 y y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) x) (*.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 x (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 x (+.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 x y))) (+.f64 x y) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 x (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 (neg.f64 y) x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(neg.f64 (-.f64 (neg.f64 y) x))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 (-.f64 x y) (+.f64 x y)))
(/.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 x y))
(/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (neg.f64 y)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y)))) (*.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(/.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 x x (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64)) (-.f64 x y))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) x))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
(*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) x) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 x y) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(*.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 (-.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 (neg.f64 y) x))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 (neg.f64 y) x))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x)))))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))

simplify533.0ms (4.9%)

Memory
25.7MiB live, 430.9MiB allocated
Algorithm
1×egg-herbie
Rules
12 038×accelerator-lowering-fma.f32
12 038×accelerator-lowering-fma.f64
4 472×*-lowering-*.f32
4 472×*-lowering-*.f64
2 680×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186985
1571921
21809857
37607851
08573806
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
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 (/ y (- 2 y)))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+.f64 (/.f64 y (+.f64 y #s(literal -2 binary64))) (fma.f64 x (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))) (/.f64 x (-.f64 #s(literal 2 binary64) y))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (fma.f64 x (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x)))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 #s(literal 2 binary64) y))) x)) x))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (fma.f64 y (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (fma.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))))))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 y y)) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (+.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 (+.f64 x x) #s(literal -2 binary64)) y) #s(literal -2 binary64))) y))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) (+.f64 (/.f64 (*.f64 (+.f64 (+.f64 x x) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 2 binary64) x))) y) #s(literal -2 binary64))) y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(- 2 y)
(-.f64 #s(literal 2 binary64) y)
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 x)
(neg.f64 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)

eval84.0ms (0.8%)

Memory
2.4MiB live, 191.7MiB allocated
Compiler

Compiled 19 591 to 1 839 computations (90.6% saved)

prune90.0ms (0.8%)

Memory
-1.0MiB live, 236.7MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New69013703
Fresh000
Picked011
Done000
Total69014704
Accuracy
100.0%
Counts
704 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.3%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 x (/.f64 y x) x)))
✓100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
64.4%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
61.5%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
40.3%
(/.f64 (-.f64 x y) (neg.f64 y))
36.2%
(/.f64 (-.f64 x y) (neg.f64 x))
▶52.7%
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶52.5%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
▶49.6%
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
49.1%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
40.5%
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
▶99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
39.9%
#s(literal 1 binary64)
▶35.9%
#s(literal -1 binary64)
Compiler

Compiled 233 to 159 computations (31.8% saved)

simplify46.0ms (0.4%)

Memory
-13.0MiB live, 34.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓cost-diff0
(neg.f64 y)
✓cost-diff128
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓cost-diff0
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓cost-diff0
(+.f64 y #s(literal -2 binary64))
✓cost-diff0
(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
Rules
512×accelerator-lowering-fma.f32
512×accelerator-lowering-fma.f64
272×*-lowering-*.f32
272×*-lowering-*.f64
178×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01683
13281
26981
317280
436680
559680
685280
7116280
8118880
9119180
10119580
0119580
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (/ 1 (- 2 (+ x y))) (- x y))
(/ 1 (- 2 (+ x y)))
1
(- 2 (+ x y))
2
(+ x y)
x
y
(- x y)
-1
(/ y (+ y -2))
y
(+ y -2)
-2
(/ x (- 2 (+ x y)))
x
(- 2 (+ x y))
2
(+ x y)
y
(/ (neg y) (- 2 (+ x y)))
(neg y)
y
(- 2 (+ x y))
2
(+ x y)
x
Outputs
(* (/ 1 (- 2 (+ x y))) (- x y))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/ 1 (- 2 (+ x y)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
1
#s(literal 1 binary64)
(- 2 (+ x y))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
2
#s(literal 2 binary64)
(+ x y)
(+.f64 x y)
x
y
(- x y)
(-.f64 x y)
-1
#s(literal -1 binary64)
(/ y (+ y -2))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
y
(+ y -2)
(+.f64 y #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ x (- 2 (+ x y)))
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
x
(- 2 (+ x y))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
2
#s(literal 2 binary64)
(+ x y)
(+.f64 x y)
y
(/ (neg y) (- 2 (+ x y)))
(/.f64 y (+.f64 x (+.f64 y #s(literal -2 binary64))))
(neg y)
(neg.f64 y)
y
(- 2 (+ x y))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
2
#s(literal 2 binary64)
(+ x y)
(+.f64 x y)
x

localize64.0ms (0.6%)

Memory
7.9MiB live, 123.6MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(neg.f64 y)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓accuracy100.0%
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓accuracy100.0%
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓accuracy100.0%
(+.f64 y #s(literal -2 binary64))
✓accuracy100.0%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
Samples
39.0ms255×0valid
0.0ms1×1valid
Compiler

Compiled 85 to 18 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-add: 12.0ms (47.6% of total)
ival-div: 7.0ms (27.8% of total)
ival-sub: 3.0ms (11.9% of total)
ival-mult: 2.0ms (7.9% of total)
ival-neg: 1.0ms (4% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
-15.7MiB live, 27.3MiB allocated
Counts
9 → 180
Calls
Call 1
Inputs
#<alt (* (/ 1 (- 2 (+ x y))) (- x y))>
#<alt (/ 1 (- 2 (+ x y)))>
#<alt (- 2 (+ x y))>
#<alt (+ x y)>
#<alt (/ y (+ y -2))>
#<alt (+ y -2)>
#<alt (/ x (- 2 (+ x y)))>
#<alt (/ (neg y) (- 2 (+ x y)))>
#<alt (neg y)>
Outputs
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))>
#<alt (/ 1 (- 2 y))>
#<alt (+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2)))>
#<alt (+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y)))>
#<alt (+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))>
#<alt (/ -1 x)>
#<alt (/ (- (/ y x) (+ 1 (* 2 (/ 1 x)))) x)>
#<alt (/ (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)>
#<alt (/ (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- y 2) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- 2 y) (- y 2)) x)) 2) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) x)) (* (- 2 y) (- y 2))) x))) 2) x))) x))>
#<alt (/ 1 (- 2 x))>
#<alt (+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2)))>
#<alt (+ (* y (+ (/ 1 (pow (- 2 x) 2)) (/ y (pow (- 2 x) 3)))) (/ 1 (- 2 x)))>
#<alt (+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x)))>
#<alt (/ -1 y)>
#<alt (/ (- (/ x y) (+ 1 (* 2 (/ 1 y)))) y)>
#<alt (/ (- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y)))) y)>
#<alt (/ (- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) y)>
#<alt (/ -1 y)>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- x 2) y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y))) y))>
#<alt (- 2 y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (- 2 x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<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)))>
#<alt (* -1/2 y)>
#<alt (* y (- (* -1/4 y) 1/2))>
#<alt (* y (- (* y (- (* -1/8 y) 1/4)) 1/2))>
#<alt (* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 y)))>
#<alt (+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 y)))>
#<alt (+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))>
#<alt -2>
#<alt (- y 2)>
#<alt (- y 2)>
#<alt (- y 2)>
#<alt y>
#<alt (* y (- 1 (* 2 (/ 1 y))))>
#<alt (* y (- 1 (* 2 (/ 1 y))))>
#<alt (* y (- 1 (* 2 (/ 1 y))))>
#<alt y>
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 1)))>
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 1)))>
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 1)))>
#<alt (/ x (- 2 y))>
#<alt (* x (+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2))))>
#<alt (* x (+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y))))>
#<alt (* x (+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y))))>
#<alt -1>
#<alt (- (/ y x) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* -1 (/ (- 2 y) x)) 1)>
#<alt (- (* -1 (/ (- (/ (pow (- 2 y) 2) x) (* -1 (- 2 y))) x)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- 2 y) 3) x)) (pow (- 2 y) 2)) x)) (* -1 (- 2 y))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (/ x (- 2 x)) (/ (* x y) (pow (- 2 x) 2)))>
#<alt (+ (* y (- (/ (* x y) (pow (- 2 x) 3)) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* y (- (/ (* x y) (pow (- 2 x) 4)) (* -1 (/ x (pow (- 2 x) 3))))) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))>
#<alt (* -1 (/ x y))>
#<alt (/ (+ (* -1 x) (* -1 (/ (* x (- 2 x)) y))) y)>
#<alt (/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 2)) (pow y 2)))) (/ (* x (- 2 x)) y)) y)>
#<alt (/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 3)) (pow y 3)))) (+ (/ (* x (- 2 x)) y) (/ (* x (pow (- 2 x) 2)) (pow y 2)))) y)>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ (+ x (/ (* x (- 2 x)) y)) y))>
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow (- 2 x) 2)) y)) (* x (- 2 x))) y))) y))>
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow (- 2 x) 3)) y) (* -1 (* x (pow (- 2 x) 2)))) y)) (* x (- 2 x))) y))) y))>
#<alt (* -1 (/ y (- 2 x)))>
#<alt (* y (- (* -1 (/ y (pow (- 2 x) 2))) (/ 1 (- 2 x))))>
#<alt (* y (- (* y (- (* -1 (/ y (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x))))>
#<alt (* y (- (* y (- (* y (- (* -1 (/ y (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x))))>
#<alt 1>
#<alt (- (+ 1 (* 2 (/ 1 y))) (/ x y))>
#<alt (- (+ 1 (/ (pow (- 2 x) 2) (pow y 2))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (/ (pow (- 2 x) 3) (pow y 3))) (+ (* -1 (/ (- 2 x) y)) (* -1 (/ (pow (- 2 x) 2) (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- x 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y)))>
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (* -1 (/ (* x y) (pow (- 2 y) 2))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (* -1 (/ (* x y) (pow (- 2 y) 3))))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (* -1 (/ (* x y) (pow (- 2 y) 4))))))))>
#<alt (/ y x)>
#<alt (/ (+ y (/ (* y (- 2 y)) x)) x)>
#<alt (/ (+ y (+ (/ (* y (- 2 y)) x) (/ (* y (pow (- 2 y) 2)) (pow x 2)))) x)>
#<alt (/ (+ y (+ (/ (* y (- 2 y)) x) (+ (/ (* y (pow (- 2 y) 2)) (pow x 2)) (/ (* y (pow (- 2 y) 3)) (pow x 3))))) x)>
#<alt (/ y x)>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (* y (- 2 y)) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* y (- 2 y)) (/ (* y (pow (- 2 y) 2)) x)) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow (- 2 y) 2))) (* -1 (/ (* y (pow (- 2 y) 3)) x))) x)) (* y (- 2 y))) x))) x))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
Calls

45 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(/ (neg y) (- 2 (+ x y)))
1.0ms
y
@inf
(/ 1 (- 2 (+ x y)))
0.0ms
x
@0
(/ (neg y) (- 2 (+ x y)))
0.0ms
x
@-inf
(/ (neg y) (- 2 (+ x y)))
0.0ms
x
@inf
(/ 1 (- 2 (+ x y)))

rewrite573.0ms (5.3%)

Memory
-115.1MiB live, 491.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 072×accelerator-lowering-fma.f32
5 072×accelerator-lowering-fma.f64
4 792×*-lowering-*.f32
4 792×*-lowering-*.f64
4 244×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01551
19749
279948
0880148
Stop Event
1×iter limit
1×node limit
Counts
9 → 765
Calls
Call 1
Inputs
(* (/ 1 (- 2 (+ x y))) (- x y))
(/ 1 (- 2 (+ x y)))
(- 2 (+ x y))
(+ x y)
(/ y (+ y -2))
(+ y -2)
(/ x (- 2 (+ x y)))
(/ (neg y) (- 2 (+ x y)))
(neg y)
Outputs
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(+.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) y))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) x))
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 x (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 0 binary64)) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 y (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
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(/.f64 (*.f64 y (neg.f64 y)) y)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (neg.f64 y)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y))) y)
(/.f64 (*.f64 (*.f64 y (*.f64 y (neg.f64 y))) #s(literal 1 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) #s(literal 1 binary64)) y)
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 y #s(literal -1 binary64))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (*.f64 y (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y))

simplify425.0ms (3.9%)

Memory
-10.5MiB live, 503.8MiB allocated
Algorithm
1×egg-herbie
Rules
7 460×accelerator-lowering-fma.f32
7 460×accelerator-lowering-fma.f64
4 046×*-lowering-*.f32
4 046×*-lowering-*.f64
2 780×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04892358
114942201
244912060
082451975
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(/ 1 (- 2 y))
(+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2)))
(+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y)))
(+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))
(/ -1 x)
(/ (- (/ y x) (+ 1 (* 2 (/ 1 x)))) x)
(/ (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)
(/ (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ (- y 2) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- 2 y) (- y 2)) x)) 2) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) x)) (* (- 2 y) (- y 2))) x))) 2) x))) x))
(/ 1 (- 2 x))
(+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2)))
(+ (* y (+ (/ 1 (pow (- 2 x) 2)) (/ y (pow (- 2 x) 3)))) (/ 1 (- 2 x)))
(+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x)))
(/ -1 y)
(/ (- (/ x y) (+ 1 (* 2 (/ 1 y)))) y)
(/ (- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y)))) y)
(/ (- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) y)
(/ -1 y)
(* -1 (/ (+ 1 (* -1 (/ (- x 2) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y))) y))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
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)))
(* -1/2 y)
(* y (- (* -1/4 y) 1/2))
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2))
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))
1
(+ 1 (* 2 (/ 1 y)))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))
1
(+ 1 (* 2 (/ 1 y)))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))
-2
(- y 2)
(- y 2)
(- y 2)
y
(* y (- 1 (* 2 (/ 1 y))))
(* y (- 1 (* 2 (/ 1 y))))
(* y (- 1 (* 2 (/ 1 y))))
y
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(/ x (- 2 y))
(* x (+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2))))
(* x (+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y))))
(* x (+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y))))
-1
(- (/ y x) (+ 1 (* 2 (/ 1 x))))
(- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* -1 (/ (- 2 y) x)) 1)
(- (* -1 (/ (- (/ (pow (- 2 y) 2) x) (* -1 (- 2 y))) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- 2 y) 3) x)) (pow (- 2 y) 2)) x)) (* -1 (- 2 y))) x)) 1)
(/ x (- 2 x))
(+ (/ x (- 2 x)) (/ (* x y) (pow (- 2 x) 2)))
(+ (* y (- (/ (* x y) (pow (- 2 x) 3)) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (/ (* x y) (pow (- 2 x) 4)) (* -1 (/ x (pow (- 2 x) 3))))) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))
(* -1 (/ x y))
(/ (+ (* -1 x) (* -1 (/ (* x (- 2 x)) y))) y)
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 2)) (pow y 2)))) (/ (* x (- 2 x)) y)) y)
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 3)) (pow y 3)))) (+ (/ (* x (- 2 x)) y) (/ (* x (pow (- 2 x) 2)) (pow y 2)))) y)
(* -1 (/ x y))
(* -1 (/ (+ x (/ (* x (- 2 x)) y)) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow (- 2 x) 2)) y)) (* x (- 2 x))) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow (- 2 x) 3)) y) (* -1 (* x (pow (- 2 x) 2)))) y)) (* x (- 2 x))) y))) y))
(* -1 (/ y (- 2 x)))
(* y (- (* -1 (/ y (pow (- 2 x) 2))) (/ 1 (- 2 x))))
(* y (- (* y (- (* -1 (/ y (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x))))
(* y (- (* y (- (* y (- (* -1 (/ y (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x))))
1
(- (+ 1 (* 2 (/ 1 y))) (/ x y))
(- (+ 1 (/ (pow (- 2 x) 2) (pow y 2))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (/ (pow (- 2 x) 3) (pow y 3))) (+ (* -1 (/ (- 2 x) y)) (* -1 (/ (pow (- 2 x) 2) (pow y 2)))))
1
(+ 1 (* -1 (/ (- x 2) y)))
(+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y)))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* -1 (/ (* x y) (pow (- 2 y) 2))))
(+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (* -1 (/ (* x y) (pow (- 2 y) 3))))))
(+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (* -1 (/ (* x y) (pow (- 2 y) 4))))))))
(/ y x)
(/ (+ y (/ (* y (- 2 y)) x)) x)
(/ (+ y (+ (/ (* y (- 2 y)) x) (/ (* y (pow (- 2 y) 2)) (pow x 2)))) x)
(/ (+ y (+ (/ (* y (- 2 y)) x) (+ (/ (* y (pow (- 2 y) 2)) (pow x 2)) (/ (* y (pow (- 2 y) 3)) (pow x 3))))) x)
(/ y x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (* y (- 2 y)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* y (- 2 y)) (/ (* y (pow (- 2 y) 2)) x)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow (- 2 y) 2))) (* -1 (/ (* y (pow (- 2 y) 3)) x))) x)) (* y (- 2 y))) x))) x))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
Outputs
(* -1 (/ y (- 2 y)))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (/.f64 x (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x))) x))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)))) x)) x))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (fma.f64 y (+.f64 (fma.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))))) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (/.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 y y)) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) y) (+.f64 x #s(literal -2 binary64))))) (/.f64 (-.f64 #s(literal 2 binary64) x) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y) (-.f64 (-.f64 #s(literal 2 binary64) x) x)) y))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x (+.f64 x #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 x (+.f64 x #s(literal -2 binary64))) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 2 binary64) x))) y)) y))
(/ 1 (- 2 y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y))
(+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))))
(+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y)))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (/.f64 x (*.f64 (+.f64 y #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)))
(+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))
(fma.f64 x (fma.f64 x (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 4 binary64))) (/.f64 x (*.f64 (+.f64 y #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))))
(/ -1 x)
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(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 2 binary64) x))) y) (-.f64 #s(literal 2 binary64) x)) y))
(* -1 (/ y (- 2 y)))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ (* -1 (/ y (- 2 y))) (* -1 (/ (* x y) (pow (- 2 y) 2))))
(*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) y))))
(+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (* -1 (/ (* x y) (pow (- 2 y) 3))))))
(fma.f64 x (*.f64 (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (-.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) y)))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (* -1 (/ (* x y) (pow (- 2 y) 4))))))))
(fma.f64 x (-.f64 (*.f64 (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (-.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 4 binary64))) x)) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(/ y x)
(/.f64 y x)
(/ (+ y (/ (* y (- 2 y)) x)) x)
(/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) y) x) y) x)
(/ (+ y (+ (/ (* y (- 2 y)) x) (/ (* y (pow (- 2 y) 2)) (pow x 2)))) x)
(/.f64 (fma.f64 y (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x) y) x)
(/ (+ y (+ (/ (* y (- 2 y)) x) (+ (/ (* y (pow (- 2 y) 2)) (pow x 2)) (/ (* y (pow (- 2 y) 3)) (pow x 3))))) x)
(/.f64 (fma.f64 y (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) (/.f64 (-.f64 #s(literal 2 binary64) y) x)) y) x)
(/ y x)
(/.f64 y x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (* y (- 2 y)) x))) x))
(/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) y) x) y) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* y (- 2 y)) (/ (* y (pow (- 2 y) 2)) x)) x))) x))
(/.f64 (+.f64 y (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)))) x)) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow (- 2 y) 2))) (* -1 (/ (* y (pow (- 2 y) 3)) x))) x)) (* y (- 2 y))) x))) x))
(/.f64 (+.f64 y (/.f64 (fma.f64 y (-.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))))) x)) x)) x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)

eval222.0ms (2.1%)

Memory
9.9MiB live, 363.2MiB allocated
Compiler

Compiled 34 200 to 2 913 computations (91.5% saved)

prune216.0ms (2%)

Memory
31.8MiB live, 347.2MiB allocated
Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New1 44981 457
Fresh268
Picked235
Done011
Total1 453181 471
Accuracy
100.0%
Counts
1 471 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶89.3%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 x (/.f64 y x) x)))
✓100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
61.5%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
40.3%
(/.f64 (-.f64 x y) (neg.f64 y))
36.2%
(/.f64 (-.f64 x y) (neg.f64 x))
▶52.7%
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
✓52.5%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
▶3.2%
(/.f64 y x)
✓49.6%
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶15.0%
(/.f64 x (-.f64 #s(literal 2 binary64) y))
49.1%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
40.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
49.5%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x)
40.2%
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 x y))
14.6%
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
15.1%
(*.f64 y #s(literal -1/2 binary64))
▶39.9%
#s(literal 1 binary64)
✓35.9%
#s(literal -1 binary64)
Compiler

Compiled 250 to 173 computations (30.8% saved)

simplify378.0ms (3.5%)

Memory
-39.9MiB live, 330.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(+.f64 (+.f64 x y) #s(literal -2 binary64))
✓cost-diff0
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
✓cost-diff0
(-.f64 #s(literal 2 binary64) y)
✓cost-diff0
(/.f64 x (-.f64 #s(literal 2 binary64) y))
✓cost-diff0
(/.f64 y x)
✓cost-diff0
(-.f64 #s(literal 2 binary64) (fma.f64 x (/.f64 y x) x))
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 x (/.f64 y x) x)))
✓cost-diff896
(fma.f64 x (/.f64 y x) x)
Rules
6 624×accelerator-lowering-fma.f32
6 624×accelerator-lowering-fma.f64
2 504×*-lowering-*.f32
2 504×*-lowering-*.f64
1 592×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01677
13677
27077
313465
431361
566361
6213161
7400661
8535461
9614861
10634561
11637961
12641561
13742561
0812161
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- x y) (- 2 (+ (* x (/ y x)) x)))
(- x y)
x
y
(- 2 (+ (* x (/ y x)) x))
2
(+ (* x (/ y x)) x)
(/ y x)
1
(/ y x)
y
x
(/ x (- 2 y))
x
(- 2 y)
2
y
(/ y (+ (+ x y) -2))
y
(+ (+ x y) -2)
(+ x y)
x
-2
Outputs
(/ (- x y) (- 2 (+ (* x (/ y x)) x)))
(/.f64 (-.f64 x y) (-.f64 (-.f64 #s(literal 2 binary64) x) y))
(- x y)
(-.f64 x y)
x
y
(- 2 (+ (* x (/ y x)) x))
(-.f64 (-.f64 #s(literal 2 binary64) x) y)
2
#s(literal 2 binary64)
(+ (* x (/ y x)) x)
(+.f64 x y)
(/ y x)
(/.f64 y x)
1
#s(literal 1 binary64)
(/ y x)
(/.f64 y x)
y
x
(/ x (- 2 y))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
x
(- 2 y)
(-.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
y
(/ y (+ (+ x y) -2))
(/.f64 y (-.f64 y (-.f64 #s(literal 2 binary64) x)))
y
(+ (+ x y) -2)
(-.f64 y (-.f64 #s(literal 2 binary64) x))
(+ x y)
(+.f64 x y)
x
-2
#s(literal -2 binary64)

localize74.0ms (0.7%)

Memory
31.4MiB live, 70.6MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(+.f64 (+.f64 x y) #s(literal -2 binary64))
✓accuracy100.0%
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) y)
✓accuracy100.0%
(/.f64 x (-.f64 #s(literal 2 binary64) y))
✓accuracy100.0%
(/.f64 y x)
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (fma.f64 x (/.f64 y x) x))
✓accuracy100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 x (/.f64 y x) x)))
✓accuracy89.7%
(fma.f64 x (/.f64 y x) x)
Samples
27.0ms255×0valid
0.0ms1×2valid
Compiler

Compiled 72 to 18 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 7.0ms (42.8% of total)
ival-sub: 4.0ms (24.4% of total)
ival-add: 3.0ms (18.3% of total)
ival-mult: 2.0ms (12.2% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
-13.9MiB live, 23.1MiB allocated
Counts
10 → 228
Calls
Call 1
Inputs
#<alt (+ (* x (/ y x)) x)>
#<alt (/ (- x y) (- 2 (+ (* x (/ y x)) x)))>
#<alt (- x y)>
#<alt (- 2 (+ (* x (/ y x)) x))>
#<alt (/ y x)>
#<alt (/ x (- 2 y))>
#<alt (- 2 y)>
#<alt (/ y (+ (+ x y) -2))>
#<alt (+ (+ x y) -2)>
#<alt (+ x y)>
Outputs
#<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)))>
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (- 2 y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (- 2 x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ x (- 2 y))>
#<alt (/ x (- 2 y))>
#<alt (/ x (- 2 y))>
#<alt (/ x (- 2 y))>
#<alt (/ x (- 2 y))>
#<alt (/ x (- 2 y))>
#<alt (/ x (- 2 y))>
#<alt (/ x (- 2 y))>
#<alt (/ x (- 2 y))>
#<alt (/ x (- 2 y))>
#<alt (/ x (- 2 y))>
#<alt (/ x (- 2 y))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/4 (* x y)) (* 1/2 x))>
#<alt (+ (* 1/2 x) (* y (- (* 1/8 (* x y)) (* -1/4 x))))>
#<alt (+ (* 1/2 x) (* y (- (* y (- (* 1/16 (* x y)) (* -1/8 x))) (* -1/4 x))))>
#<alt (* -1 (/ x y))>
#<alt (/ (+ (* -2 (/ x y)) (* -1 x)) y)>
#<alt (/ (- (+ (* -4 (/ x (pow y 2))) (* -1 x)) (* 2 (/ x y))) y)>
#<alt (/ (- (+ (* -8 (/ x (pow y 3))) (* -1 x)) (+ (* 2 (/ x y)) (* 4 (/ x (pow y 2))))) y)>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ (+ x (* 2 (/ x y))) y))>
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -4 (/ x y)) (* 2 x)) y))) y))>
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ x y)) (* -4 x)) y)) (* 2 x)) y))) y))>
#<alt 2>
#<alt (+ 2 (* -1 y))>
#<alt (+ 2 (* -1 y))>
#<alt (+ 2 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) 1))>
#<alt (* y (- (* 2 (/ 1 y)) 1))>
#<alt (* y (- (* 2 (/ 1 y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 2 (/ 1 y)))))>
#<alt (/ y (- x 2))>
#<alt (* y (+ (* -1 (/ y (pow (- x 2) 2))) (/ 1 (- x 2))))>
#<alt (* y (+ (* y (- (/ y (pow (- x 2) 3)) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))))>
#<alt (* y (+ (* y (- (* y (+ (* -1 (/ y (pow (- x 2) 4))) (/ 1 (pow (- x 2) 3)))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))))>
#<alt 1>
#<alt (- (+ 1 (* 2 (/ 1 y))) (/ x y))>
#<alt (- (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y)))) (/ x y))>
#<alt (- (+ 1 (+ (* 2 (/ 1 y)) (/ (* (- 2 x) (pow (- x 2) 2)) (pow y 3)))) (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- x 2) y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow (- x 2) 2) y)) (* -1 (- x 2))) y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- x 2) 3) y)) (* -1 (pow (- x 2) 2))) y)) (* -1 (- x 2))) y)))>
#<alt (/ y (- y 2))>
#<alt (+ (* -1 (/ (* x y) (pow (- y 2) 2))) (/ y (- y 2)))>
#<alt (+ (* x (- (/ (* x y) (pow (- y 2) 3)) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- y 2) 4))) (* -1 (/ y (pow (- y 2) 3))))) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))>
#<alt (/ y x)>
#<alt (/ (+ y (* -1 (/ (* y (- y 2)) x))) x)>
#<alt (/ (- (+ y (/ (* y (pow (- y 2) 2)) (pow x 2))) (/ (* y (- y 2)) x)) x)>
#<alt (/ (- (+ y (* -1 (/ (* y (pow (- y 2) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- y 2) 2)) (pow x 2))) (/ (* y (- y 2)) x))) x)>
#<alt (/ y x)>
#<alt (* -1 (/ (+ (* -1 y) (/ (* y (- y 2)) x)) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- y 2) 2)) x) (* y (- y 2))) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- y 2) 3)) x) (* y (pow (- y 2) 2))) x)) (* y (- y 2))) x))) x))>
#<alt (- y 2)>
#<alt (- (+ x y) 2)>
#<alt (- (+ x y) 2)>
#<alt (- (+ x y) 2)>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (* 2 (/ 1 x))))>
#<alt (* x (- (+ 1 (/ y x)) (* 2 (/ 1 x))))>
#<alt (* x (- (+ 1 (/ y x)) (* 2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y 2) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y 2) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y 2) x)) 1)))>
#<alt (- x 2)>
#<alt (- (+ x y) 2)>
#<alt (- (+ x y) 2)>
#<alt (- (+ x y) 2)>
#<alt y>
#<alt (* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))>
#<alt (* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))>
#<alt (* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- x 2) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- x 2) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- x 2) y)) 1)))>
#<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

57 calls:

TimeVariablePointExpression
6.0ms
y
@inf
(/ y x)
1.0ms
y
@inf
(/ x (- 2 y))
1.0ms
x
@inf
(/ x (- 2 y))
0.0ms
x
@-inf
(/ x (- 2 y))
0.0ms
x
@inf
(/ y (+ (+ x y) -2))

rewrite546.0ms (5.1%)

Memory
17.4MiB live, 575.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 166×accelerator-lowering-fma.f32
5 166×accelerator-lowering-fma.f64
4 320×/-lowering-/.f32
4 320×/-lowering-/.f64
3 266×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01562
112062
2107646
0922546
Stop Event
1×iter limit
1×node limit
Counts
10 → 642
Calls
Call 1
Inputs
(+ (* x (/ y x)) x)
(/ (- x y) (- 2 (+ (* x (/ y x)) x)))
(- x y)
(- 2 (+ (* x (/ y x)) x))
(/ y x)
(/ x (- 2 y))
(- 2 y)
(/ y (+ (+ x y) -2))
(+ (+ x y) -2)
(+ x y)
Outputs
(+.f64 x y)
(+.f64 y x)
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(-.f64 x (neg.f64 y))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) y))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (/.f64 (*.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(fma.f64 x (/.f64 y x) x)
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 (/.f64 y x) x x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (-.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x y) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 y) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) y)
(fma.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 x (+.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 x (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 x x) y x)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y (neg.f64 x)) x)
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x x) x)
(fma.f64 (/.f64 x (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 x (fma.f64 y (-.f64 y x) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(neg.f64 (-.f64 (neg.f64 x) y))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 y x) (-.f64 y x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (/.f64 (*.f64 y y) (-.f64 x y))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))) (+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y)))) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))) (fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 x) y))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 x y) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y))))
(-.f64 (/.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(-.f64 (/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))) (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))))) (/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))) (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))))))
(-.f64 (/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))) (/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 (/.f64 x (fma.f64 (+.f64 x y) (neg.f64 (*.f64 (+.f64 x y) (+.f64 x y))) #s(literal 8 binary64))) (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(neg.f64 (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(/.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 y (+.f64 x y) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)) (*.f64 (+.f64 (+.f64 x y) #s(literal -2 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (-.f64 x y) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))))) (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))) (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(/.f64 (-.f64 y x) (+.f64 (+.f64 x y) #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 y x)))
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(/.f64 (neg.f64 (fma.f64 (+.f64 x y) (neg.f64 (*.f64 (+.f64 x y) (+.f64 x y))) #s(literal 8 binary64))) (+.f64 (fma.f64 (+.f64 x y) (+.f64 x y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 x y))))
(/.f64 (neg.f64 (fma.f64 (+.f64 x y) (neg.f64 (*.f64 (+.f64 x y) (+.f64 x y))) #s(literal 8 binary64))) (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (fma.f64 (+.f64 x y) (neg.f64 (*.f64 (+.f64 x y) (+.f64 x y))) #s(literal 8 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (+.f64 x y) (neg.f64 (*.f64 (+.f64 x y) (+.f64 x y))) #s(literal 8 binary64))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (+.f64 x y) (+.f64 x y) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 x y))))))
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (+.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 x y))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 y #s(literal -2 binary64)) (*.f64 (+.f64 y #s(literal -2 binary64)) (+.f64 y #s(literal -2 binary64))))) (fma.f64 x x (-.f64 (*.f64 (+.f64 y #s(literal -2 binary64)) (+.f64 y #s(literal -2 binary64))) (*.f64 x (+.f64 y #s(literal -2 binary64))))))
(/.f64 (*.f64 (+.f64 (+.f64 x y) #s(literal -2 binary64)) (+.f64 x (-.f64 #s(literal 2 binary64) y))) (+.f64 x (-.f64 #s(literal 2 binary64) y)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 #s(literal 2 binary64) (+.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) (neg.f64 (*.f64 (+.f64 x y) (+.f64 x y))) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (-.f64 #s(literal -2 binary64) (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x)))) (fma.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 (-.f64 #s(literal 2 binary64) y) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (+.f64 (-.f64 #s(literal 2 binary64) y) x))
(/.f64 (neg.f64 (fma.f64 (+.f64 x y) (-.f64 (neg.f64 x) y) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (neg.f64 (fma.f64 (+.f64 x y) (-.f64 (neg.f64 x) y) #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 x y))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 y #s(literal -2 binary64)) (*.f64 (+.f64 y #s(literal -2 binary64)) (+.f64 y #s(literal -2 binary64)))))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (+.f64 y #s(literal -2 binary64)) (+.f64 y #s(literal -2 binary64))) (*.f64 x (+.f64 y #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (+.f64 x y) #s(literal -2 binary64)) (+.f64 x (-.f64 #s(literal 2 binary64) y)))) (neg.f64 (+.f64 x (-.f64 #s(literal 2 binary64) y))))
(/.f64 (fma.f64 y (*.f64 y y) (pow.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (+.f64 x #s(literal -2 binary64)) (+.f64 x #s(literal -2 binary64))) (*.f64 y (+.f64 x #s(literal -2 binary64))))))
(/.f64 (fma.f64 (+.f64 y #s(literal -2 binary64)) (*.f64 (+.f64 y #s(literal -2 binary64)) (+.f64 y #s(literal -2 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 (+.f64 y #s(literal -2 binary64)) (+.f64 y #s(literal -2 binary64)) (-.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal -2 binary64)) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (+.f64 #s(literal -2 binary64) x) (+.f64 #s(literal -2 binary64) x) (-.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal -2 binary64) x) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (+.f64 x #s(literal -2 binary64)) (+.f64 x #s(literal -2 binary64)))) (-.f64 y (+.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 y #s(literal -2 binary64)) (+.f64 y #s(literal -2 binary64))) (*.f64 x x)) (-.f64 (+.f64 y #s(literal -2 binary64)) x))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -2 binary64) x) (+.f64 #s(literal -2 binary64) x)) (*.f64 y y)) (-.f64 (+.f64 #s(literal -2 binary64) x) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x y))))) (+.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (+.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))
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(*.f64 (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64))))
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(*.f64 (fma.f64 (+.f64 x y) (neg.f64 (*.f64 (+.f64 x y) (+.f64 x y))) #s(literal 8 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)))))
(*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64)))
(*.f64 (fma.f64 (+.f64 x y) (+.f64 x y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x y))))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 x y))))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (fma.f64 (+.f64 x y) (-.f64 (neg.f64 x) y) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 x y))))
(*.f64 (neg.f64 (fma.f64 (+.f64 x y) (neg.f64 (*.f64 (+.f64 x y) (+.f64 x y))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64))))
(*.f64 (+.f64 #s(literal -4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x y))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 y #s(literal -2 binary64)) (*.f64 (+.f64 y #s(literal -2 binary64)) (+.f64 y #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 (+.f64 y #s(literal -2 binary64)) (+.f64 y #s(literal -2 binary64))) (*.f64 x (+.f64 y #s(literal -2 binary64)))))))
(*.f64 (*.f64 (+.f64 (+.f64 x y) #s(literal -2 binary64)) (+.f64 x (-.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 2 binary64) y))))
(+.f64 x y)
(+.f64 y x)
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(-.f64 x (neg.f64 y))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) y))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (/.f64 (*.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(fma.f64 x (/.f64 y x) x)
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 (/.f64 y x) x x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (-.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x y) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 y) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) y)
(fma.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 x (+.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 x (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 x x) y x)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y (neg.f64 x)) x)
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x x) x)
(fma.f64 (/.f64 x (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 x (fma.f64 y (-.f64 y x) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(neg.f64 (-.f64 (neg.f64 x) y))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 y x) (-.f64 y x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (/.f64 (*.f64 y y) (-.f64 x y))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))) (+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y)))) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))) (fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 x) y))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 x y) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))))

simplify900.0ms (8.4%)

Memory
-7.3MiB live, 553.7MiB allocated
Algorithm
1×egg-herbie
Rules
9 196×accelerator-lowering-fma.f32
9 196×accelerator-lowering-fma.f64
4 740×*-lowering-*.f32
4 740×*-lowering-*.f64
4 520×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03872032
111811919
236051816
085771723
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
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)))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ x (- 2 y))
(/ x (- 2 y))
(/ x (- 2 y))
(/ x (- 2 y))
(/ x (- 2 y))
(/ x (- 2 y))
(/ x (- 2 y))
(/ x (- 2 y))
(/ x (- 2 y))
(/ x (- 2 y))
(/ x (- 2 y))
(/ x (- 2 y))
(* 1/2 x)
(+ (* 1/4 (* x y)) (* 1/2 x))
(+ (* 1/2 x) (* y (- (* 1/8 (* x y)) (* -1/4 x))))
(+ (* 1/2 x) (* y (- (* y (- (* 1/16 (* x y)) (* -1/8 x))) (* -1/4 x))))
(* -1 (/ x y))
(/ (+ (* -2 (/ x y)) (* -1 x)) y)
(/ (- (+ (* -4 (/ x (pow y 2))) (* -1 x)) (* 2 (/ x y))) y)
(/ (- (+ (* -8 (/ x (pow y 3))) (* -1 x)) (+ (* 2 (/ x y)) (* 4 (/ x (pow y 2))))) y)
(* -1 (/ x y))
(* -1 (/ (+ x (* 2 (/ x y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -4 (/ x y)) (* 2 x)) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ x y)) (* -4 x)) y)) (* 2 x)) y))) y))
2
(+ 2 (* -1 y))
(+ 2 (* -1 y))
(+ 2 (* -1 y))
(* -1 y)
(* y (- (* 2 (/ 1 y)) 1))
(* y (- (* 2 (/ 1 y)) 1))
(* y (- (* 2 (/ 1 y)) 1))
(* -1 y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(/ y (- x 2))
(* y (+ (* -1 (/ y (pow (- x 2) 2))) (/ 1 (- x 2))))
(* y (+ (* y (- (/ y (pow (- x 2) 3)) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow (- x 2) 4))) (/ 1 (pow (- x 2) 3)))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))))
1
(- (+ 1 (* 2 (/ 1 y))) (/ x y))
(- (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y)))) (/ x y))
(- (+ 1 (+ (* 2 (/ 1 y)) (/ (* (- 2 x) (pow (- x 2) 2)) (pow y 3)))) (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))))
1
(+ 1 (* -1 (/ (- x 2) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (- x 2) 2) y)) (* -1 (- x 2))) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- x 2) 3) y)) (* -1 (pow (- x 2) 2))) y)) (* -1 (- x 2))) y)))
(/ y (- y 2))
(+ (* -1 (/ (* x y) (pow (- y 2) 2))) (/ y (- y 2)))
(+ (* x (- (/ (* x y) (pow (- y 2) 3)) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- y 2) 4))) (* -1 (/ y (pow (- y 2) 3))))) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))
(/ y x)
(/ (+ y (* -1 (/ (* y (- y 2)) x))) x)
(/ (- (+ y (/ (* y (pow (- y 2) 2)) (pow x 2))) (/ (* y (- y 2)) x)) x)
(/ (- (+ y (* -1 (/ (* y (pow (- y 2) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- y 2) 2)) (pow x 2))) (/ (* y (- y 2)) x))) x)
(/ y x)
(* -1 (/ (+ (* -1 y) (/ (* y (- y 2)) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- y 2) 2)) x) (* y (- y 2))) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- y 2) 3)) x) (* y (pow (- y 2) 2))) x)) (* y (- y 2))) x))) x))
(- y 2)
(- (+ x y) 2)
(- (+ x y) 2)
(- (+ x y) 2)
x
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x))))
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x))))
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x))))
x
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1)))
(- x 2)
(- (+ x y) 2)
(- (+ x y) 2)
(- (+ x y) 2)
y
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))
y
(* -1 (* y (- (* -1 (/ (- x 2) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x 2) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x 2) y)) 1)))
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
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (/ y (- 2 y)))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (/.f64 x (-.f64 #s(literal 2 binary64) y)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (+.f64 (fma.f64 x (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (+.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 y #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y))) x)) x))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (fma.f64 y (+.f64 (fma.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 x #s(literal -2 binary64))) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y)) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y)) (*.f64 (+.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) y) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 x #s(literal -2 binary64))) y))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) (fma.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64))) y))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x (+.f64 x #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 x (+.f64 x #s(literal -2 binary64))) (*.f64 (+.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) y) #s(literal -1 binary64)))) y)) y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(fma.f64 x (/.f64 y (neg.f64 x)) x)
(* x (+ 1 (* -1 (/ y x))))
(fma.f64 x (/.f64 y (neg.f64 x)) x)
(* x (+ 1 (* -1 (/ y x))))
(fma.f64 x (/.f64 y (neg.f64 x)) x)
x
(* -1 (* x (- (/ y x) 1)))
(fma.f64 x (/.f64 y (neg.f64 x)) x)
(* -1 (* x (- (/ y x) 1)))
(fma.f64 x (/.f64 y (neg.f64 x)) x)
(* -1 (* x (- (/ y x) 1)))
(fma.f64 x (/.f64 y (neg.f64 x)) x)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 (*.f64 y (/.f64 x y)) y)
(* y (- (/ x y) 1))
(-.f64 (*.f64 y (/.f64 x y)) y)
(* y (- (/ x y) 1))
(-.f64 (*.f64 y (/.f64 x y)) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 (*.f64 y (/.f64 x y)) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 (*.f64 y (/.f64 x y)) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 (*.f64 y (/.f64 x y)) y)
(- 2 y)
(-.f64 #s(literal 2 binary64) y)
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 x)
(neg.f64 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x)) x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x)) x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x)) x)
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ x (- 2 y))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(/ x (- 2 y))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(/ x (- 2 y))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(/ x (- 2 y))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(/ x (- 2 y))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(/ x (- 2 y))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(/ x (- 2 y))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(/ x (- 2 y))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(/ x (- 2 y))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(/ x (- 2 y))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(/ x (- 2 y))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(/ x (- 2 y))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* 1/4 (* x y)) (* 1/2 x))
(*.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 x) (* y (- (* 1/8 (* x y)) (* -1/4 x))))
(fma.f64 y (*.f64 x (fma.f64 y #s(literal 1/8 binary64) #s(literal 1/4 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(+ (* 1/2 x) (* y (- (* y (- (* 1/16 (* x y)) (* -1/8 x))) (* -1/4 x))))
(fma.f64 y (fma.f64 y (*.f64 x (fma.f64 y #s(literal 1/16 binary64) #s(literal 1/8 binary64))) (*.f64 x #s(literal 1/4 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(/ (+ (* -2 (/ x y)) (* -1 x)) y)
(/.f64 (+.f64 x (/.f64 (+.f64 x x) y)) (neg.f64 y))
(/ (- (+ (* -4 (/ x (pow y 2))) (* -1 x)) (* 2 (/ x y))) y)
(/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)) (neg.f64 x)) y)
(/ (- (+ (* -8 (/ x (pow y 3))) (* -1 x)) (+ (* 2 (/ x y)) (* 4 (/ x (pow y 2))))) y)
(/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)) (fma.f64 #s(literal -8 binary64) (/.f64 x (*.f64 y (*.f64 y y))) (neg.f64 x))) y)
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ (+ x (* 2 (/ x y))) y))
(/.f64 (+.f64 x (/.f64 (+.f64 x x) y)) (neg.f64 y))
(* -1 (/ (+ x (* -1 (/ (- (* -4 (/ x y)) (* 2 x)) y))) y))
(/.f64 (-.f64 x (/.f64 (*.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) y))) y)) (neg.f64 y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ x y)) (* -4 x)) y)) (* 2 x)) y))) y))
(/.f64 (+.f64 x (/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 #s(literal 8 binary64) y) #s(literal -4 binary64)) (+.f64 x x)) y)) (neg.f64 y))
2
#s(literal 2 binary64)
(+ 2 (* -1 y))
(-.f64 #s(literal 2 binary64) y)
(+ 2 (* -1 y))
(-.f64 #s(literal 2 binary64) y)
(+ 2 (* -1 y))
(-.f64 #s(literal 2 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ 1 y)) 1))
(fma.f64 y (/.f64 #s(literal 2 binary64) y) (neg.f64 y))
(* y (- (* 2 (/ 1 y)) 1))
(fma.f64 y (/.f64 #s(literal 2 binary64) y) (neg.f64 y))
(* y (- (* 2 (/ 1 y)) 1))
(fma.f64 y (/.f64 #s(literal 2 binary64) y) (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(neg.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) y) y))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(neg.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) y) y))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(neg.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) y) y))
(/ y (- x 2))
(/.f64 y (+.f64 x #s(literal -2 binary64)))
(* y (+ (* -1 (/ y (pow (- x 2) 2))) (/ 1 (- x 2))))
(fma.f64 y (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(* y (+ (* y (- (/ y (pow (- x 2) 3)) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))))
(fma.f64 y (fma.f64 y (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow (- x 2) 4))) (/ 1 (pow (- x 2) 3)))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))))
(fma.f64 y (fma.f64 y (fma.f64 y (/.f64 (neg.f64 y) (pow.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (/.f64 y (+.f64 x #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(- (+ 1 (* 2 (/ 1 y))) (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))
(- (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y)))) (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) y) #s(literal -1 binary64))) y))
(- (+ 1 (+ (* 2 (/ 1 y)) (/ (* (- 2 x) (pow (- x 2) 2)) (pow y 3)))) (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (+.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) y) #s(literal -1 binary64))) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- x 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (- x 2) 2) y)) (* -1 (- x 2))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) y) #s(literal -1 binary64))) y))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- x 2) 3) y)) (* -1 (pow (- x 2) 2))) y)) (* -1 (- x 2))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) y) #s(literal -1 binary64))) y)) y))
(/ y (- y 2))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ (* -1 (/ (* x y) (pow (- y 2) 2))) (/ y (- y 2)))
(fma.f64 x (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* x (- (/ (* x y) (pow (- y 2) 3)) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))
(fma.f64 x (*.f64 (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (+.f64 (/.f64 x (+.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- y 2) 4))) (* -1 (/ y (pow (- y 2) 3))))) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))
(fma.f64 x (fma.f64 x (-.f64 (/.f64 y (*.f64 (+.f64 y #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 y x) (pow.f64 (+.f64 y #s(literal -2 binary64)) #s(literal 4 binary64)))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(/ y x)
(/.f64 y x)
(/ (+ y (* -1 (/ (* y (- y 2)) x))) x)
(/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) y) x) y) x)
(/ (- (+ y (/ (* y (pow (- y 2) 2)) (pow x 2))) (/ (* y (- y 2)) x)) x)
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 (+.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 y #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y)) y) x)
(/ (- (+ y (* -1 (/ (* y (pow (- y 2) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- y 2) 2)) (pow x 2))) (/ (* y (- y 2)) x))) x)
(/.f64 (+.f64 y (/.f64 (-.f64 (*.f64 y (-.f64 #s(literal 2 binary64) y)) (/.f64 (*.f64 y (*.f64 (+.f64 y #s(literal -2 binary64)) (fma.f64 (+.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 y #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y)))) x)) x)) x)
(/ y x)
(/.f64 y x)
(* -1 (/ (+ (* -1 y) (/ (* y (- y 2)) x)) x))
(/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) y) x) y) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- y 2) 2)) x) (* y (- y 2))) x))) x))
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 (+.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 y #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y)) y) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- y 2) 3)) x) (* y (pow (- y 2) 2))) x)) (* y (- y 2))) x))) x))
(/.f64 (+.f64 y (/.f64 (-.f64 (*.f64 y (-.f64 #s(literal 2 binary64) y)) (/.f64 (*.f64 y (*.f64 (+.f64 y #s(literal -2 binary64)) (fma.f64 (+.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 y #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y)))) x)) x)) x)
(- y 2)
(+.f64 y #s(literal -2 binary64))
(- (+ x y) 2)
(+.f64 y (+.f64 x #s(literal -2 binary64)))
(- (+ x y) 2)
(+.f64 y (+.f64 x #s(literal -2 binary64)))
(- (+ x y) 2)
(+.f64 y (+.f64 x #s(literal -2 binary64)))
x
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x))))
(fma.f64 x (/.f64 (+.f64 y #s(literal -2 binary64)) x) x)
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x))))
(fma.f64 x (/.f64 (+.f64 y #s(literal -2 binary64)) x) x)
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x))))
(fma.f64 x (/.f64 (+.f64 y #s(literal -2 binary64)) x) x)
x
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1)))
(fma.f64 x (/.f64 (+.f64 y #s(literal -2 binary64)) x) x)
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1)))
(fma.f64 x (/.f64 (+.f64 y #s(literal -2 binary64)) x) x)
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1)))
(fma.f64 x (/.f64 (+.f64 y #s(literal -2 binary64)) x) x)
(- x 2)
(+.f64 x #s(literal -2 binary64))
(- (+ x y) 2)
(+.f64 y (+.f64 x #s(literal -2 binary64)))
(- (+ x y) 2)
(+.f64 y (+.f64 x #s(literal -2 binary64)))
(- (+ x y) 2)
(+.f64 y (+.f64 x #s(literal -2 binary64)))
y
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))
(fma.f64 y (/.f64 (+.f64 x #s(literal -2 binary64)) y) y)
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))
(fma.f64 y (/.f64 (+.f64 x #s(literal -2 binary64)) y) y)
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))
(fma.f64 y (/.f64 (+.f64 x #s(literal -2 binary64)) y) y)
y
(* -1 (* y (- (* -1 (/ (- x 2) y)) 1)))
(fma.f64 y (/.f64 (+.f64 x #s(literal -2 binary64)) y) y)
(* -1 (* y (- (* -1 (/ (- x 2) y)) 1)))
(fma.f64 y (/.f64 (+.f64 x #s(literal -2 binary64)) y) y)
(* -1 (* y (- (* -1 (/ (- x 2) y)) 1)))
(fma.f64 y (/.f64 (+.f64 x #s(literal -2 binary64)) y) y)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)

eval155.0ms (1.4%)

Memory
-6.1MiB live, 263.5MiB allocated
Compiler

Compiled 17 533 to 2 046 computations (88.3% saved)

prune116.0ms (1.1%)

Memory
-0.4MiB live, 256.5MiB allocated
Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New9081909
Fresh099
Picked235
Done044
Total91017927
Accuracy
100.0%
Counts
927 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓89.3%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 x (/.f64 y x) x)))
✓100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶61.5%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
▶40.3%
(/.f64 (-.f64 x y) (neg.f64 y))
36.2%
(/.f64 (-.f64 x y) (neg.f64 x))
✓52.7%
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
✓52.5%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓49.6%
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶49.1%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
40.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
49.5%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x)
40.2%
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 x y))
▶14.6%
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
15.1%
(*.f64 y #s(literal -1/2 binary64))
▶14.6%
(*.f64 x #s(literal 1/2 binary64))
✓39.9%
#s(literal 1 binary64)
✓35.9%
#s(literal -1 binary64)
Compiler

Compiled 210 to 148 computations (29.5% saved)

simplify64.0ms (0.6%)

Memory
-12.7MiB live, 64.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 y)
✓cost-diff0
(-.f64 x y)
✓cost-diff128
(/.f64 (-.f64 x y) (neg.f64 y))
✓cost-diff0
(-.f64 #s(literal 2 binary64) x)
✓cost-diff0
(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓cost-diff0
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(-.f64 #s(literal 2 binary64) x)
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
Rules
728×accelerator-lowering-fma.f32
728×accelerator-lowering-fma.f64
472×*-lowering-*.f32
472×*-lowering-*.f64
322×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01659
14059
27459
313458
422258
555958
6125158
7145358
8151358
9153558
10153758
0153756
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (- x y) (- 2 x))
(- x y)
x
y
(- 2 x)
2
(* x 1/2)
x
1/2
(* y (+ (* y -1/4) -1/2))
y
(+ (* y -1/4) -1/2)
-1/4
-1/2
(/ x (- 2 x))
x
(- 2 x)
2
(/ (- x y) (neg y))
(- x y)
x
y
(neg y)
Outputs
(/ (- x y) (- 2 x))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
(- x y)
(-.f64 x y)
x
y
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(* y (+ (* y -1/4) -1/2))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
y
(+ (* y -1/4) -1/2)
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
-1/4
#s(literal -1/4 binary64)
-1/2
#s(literal -1/2 binary64)
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
x
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
(/ (- x y) (neg y))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(- x y)
(-.f64 x y)
x
y
(neg y)
(neg.f64 y)

localize51.0ms (0.5%)

Memory
-3.5MiB live, 109.9MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (-.f64 x y) (neg.f64 y))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(neg.f64 y)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) x)
✓accuracy100.0%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓accuracy100.0%
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) x)
✓accuracy100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
Samples
30.0ms256×0valid
Compiler

Compiled 59 to 18 computations (69.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 5.0ms (33% of total)
ival-mult: 4.0ms (26.4% of total)
ival-sub: 3.0ms (19.8% of total)
ival-add: 1.0ms (6.6% of total)
ival-neg: 1.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated
Counts
9 → 144
Calls
Call 1
Inputs
#<alt (/ (- x y) (- 2 x))>
#<alt (- x y)>
#<alt (- 2 x)>
#<alt (* x 1/2)>
#<alt (* y (+ (* y -1/4) -1/2))>
#<alt (+ (* y -1/4) -1/2)>
#<alt (/ x (- 2 x))>
#<alt (/ (- x y) (neg y))>
#<alt (neg y)>
Outputs
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* x (- 1/2 (* 1/4 y))))>
#<alt (+ (* -1/2 y) (* x (- (+ 1/2 (* 1/2 (* x (- 1/2 (* 1/4 y))))) (* 1/4 y))))>
#<alt (+ (* -1/2 y) (* x (- (+ 1/2 (* x (- (* 1/4 (* x (- 1/2 (* 1/4 y)))) (* -1/2 (- 1/2 (* 1/4 y)))))) (* 1/4 y))))>
#<alt -1>
#<alt (- (/ y x) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ (- y 2) (pow x 2))) (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 4 (/ (- y 2) (pow x 3))) (/ y x)) (+ 1 (+ (* -2 (/ (- y 2) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (/ y x) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ (* -2 (/ (- y 2) x)) (* -1 (- y 2))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- y 2)) (* -1 (/ (+ (* 2 (- y 2)) (* 4 (/ (- y 2) x))) x))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))>
#<alt (+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))>
#<alt (+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))>
#<alt (* -1 (/ y (- 2 x)))>
#<alt (* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))>
#<alt (* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))>
#<alt (* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))>
#<alt (* -1 (/ y (- 2 x)))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt 2>
#<alt (+ 2 (* -1 x))>
#<alt (+ 2 (* -1 x))>
#<alt (+ 2 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 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 x)>
#<alt (* -1/2 y)>
#<alt (* y (- (* -1/4 y) 1/2))>
#<alt (* y (- (* -1/4 y) 1/2))>
#<alt (* y (- (* -1/4 y) 1/2))>
#<alt (* -1/4 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* -1/4 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt -1/2>
#<alt (- (* -1/4 y) 1/2)>
#<alt (- (* -1/4 y) 1/2)>
#<alt (- (* -1/4 y) 1/2)>
#<alt (* -1/4 y)>
#<alt (* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* -1/4 y)>
#<alt (* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/4 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (/ x y))>
#<alt (/ (+ y (* -1 x)) y)>
#<alt (/ (+ y (* -1 x)) y)>
#<alt (/ (+ y (* -1 x)) y)>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
Calls

36 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(/ (- x y) (- 2 x))
0.0ms
y
@inf
(* y (+ (* y -1/4) -1/2))
0.0ms
x
@0
(/ (- x y) (- 2 x))
0.0ms
y
@-inf
(* y (+ (* y -1/4) -1/2))
0.0ms
y
@0
(* y (+ (* y -1/4) -1/2))

rewrite376.0ms (3.5%)

Memory
9.8MiB live, 536.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 016×*-lowering-*.f32
5 016×*-lowering-*.f64
4 598×/-lowering-/.f32
4 598×/-lowering-/.f64
4 566×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01641
19741
271940
0876438
Stop Event
1×iter limit
1×node limit
Counts
9 → 866
Calls
Call 1
Inputs
(/ (- x y) (- 2 x))
(- x y)
(- 2 x)
(* x 1/2)
(* y (+ (* y -1/4) -1/2))
(+ (* y -1/4) -1/2)
(/ x (- 2 x))
(/ (- x y) (neg y))
(neg y)
Outputs
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 y)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 y)) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) #s(literal 4 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x))) x) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x))) x))
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))))
(+.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))))
(+.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))))
(+.f64 (*.f64 x (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x)))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 x (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (-.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (+.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 x y) (+.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (-.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) x) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 2 binary64) x) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x y))))
(-.f64 (/.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) y) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (*.f64 x (+.f64 x #s(literal -2 binary64))) (*.f64 (+.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 (+.f64 x #s(literal -2 binary64)) y) (*.f64 (+.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) x)) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) y) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) x)))
(-.f64 (/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (+.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (/.f64 x (-.f64 #s(literal 2 binary64) x)))))) (/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (+.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (/.f64 x (-.f64 #s(literal 2 binary64) x)))))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (+.f64 x y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 y)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x)))))
(fma.f64 y (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x)))))
(fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
(fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 y)))
(fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 y)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))))
(fma.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 2 binary64) x)) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (+.f64 x #s(literal -2 binary64))) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (+.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (+.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (+.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
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(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) y))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) y))
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(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64)))
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(*.f64 (/.f64 (+.f64 x y) (neg.f64 y)) (/.f64 (-.f64 x y) (+.f64 x y)))
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(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
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(+.f64 #s(literal 0 binary64) (neg.f64 y))
(-.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) y)
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 y (*.f64 y (neg.f64 y)))))
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(/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(/.f64 (*.f64 y (neg.f64 y)) y)
(*.f64 y #s(literal -1 binary64))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (*.f64 y (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y))

simplify367.0ms (3.4%)

Memory
-12.4MiB live, 692.9MiB allocated
Algorithm
1×egg-herbie
Rules
12 994×accelerator-lowering-fma.f32
12 994×accelerator-lowering-fma.f64
4 160×+-lowering-+.f64
4 160×+-lowering-+.f32
3 762×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157812
1457768
21259754
33709714
08305677
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* -1/2 y)
(+ (* -1/2 y) (* x (- 1/2 (* 1/4 y))))
(+ (* -1/2 y) (* x (- (+ 1/2 (* 1/2 (* x (- 1/2 (* 1/4 y))))) (* 1/4 y))))
(+ (* -1/2 y) (* x (- (+ 1/2 (* x (- (* 1/4 (* x (- 1/2 (* 1/4 y)))) (* -1/2 (- 1/2 (* 1/4 y)))))) (* 1/4 y))))
-1
(- (/ y x) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ (- y 2) (pow x 2))) (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 4 (/ (- y 2) (pow x 3))) (/ y x)) (+ 1 (+ (* -2 (/ (- y 2) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (/ y x) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -2 (/ (- y 2) x)) (* -1 (- y 2))) x)) 1)
(- (* -1 (/ (+ (* -1 (- y 2)) (* -1 (/ (+ (* 2 (- y 2)) (* 4 (/ (- y 2) x))) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(* -1 (/ y (- 2 x)))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(* -1 (/ y (- 2 x)))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
2
(+ 2 (* -1 x))
(+ 2 (* -1 x))
(+ 2 (* -1 x))
(* -1 x)
(* x (- (* 2 (/ 1 x)) 1))
(* x (- (* 2 (/ 1 x)) 1))
(* x (- (* 2 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 1 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 x)
(* -1/2 y)
(* y (- (* -1/4 y) 1/2))
(* y (- (* -1/4 y) 1/2))
(* y (- (* -1/4 y) 1/2))
(* -1/4 (pow y 2))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1/4 (pow y 2))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
-1/2
(- (* -1/4 y) 1/2)
(- (* -1/4 y) 1/2)
(- (* -1/4 y) 1/2)
(* -1/4 y)
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1/4 y)
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (/ x y))
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
Outputs
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* x (- 1/2 (* 1/4 y))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 x (fma.f64 y #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(+ (* -1/2 y) (* x (- (+ 1/2 (* 1/2 (* x (- 1/2 (* 1/4 y))))) (* 1/4 y))))
(fma.f64 x (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 y #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* x (- (+ 1/2 (* x (- (* 1/4 (* x (- 1/2 (* 1/4 y)))) (* -1/2 (- 1/2 (* 1/4 y)))))) (* 1/4 y))))
(fma.f64 x (*.f64 (fma.f64 y #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) y))
-1
#s(literal -1 binary64)
(- (/ y x) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x))
(- (+ (* 2 (/ (- y 2) (pow x 2))) (/ y x)) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 (+.f64 y #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 4 (/ (- y 2) (pow x 3))) (/ y x)) (+ 1 (+ (* -2 (/ (- y 2) (pow x 2))) (* 2 (/ 1 x)))))
(-.f64 (fma.f64 (/.f64 (+.f64 y #s(literal -2 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) y) x))
-1
#s(literal -1 binary64)
(- (/ y x) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x))
(- (* -1 (/ (+ (* -2 (/ (- y 2) x)) (* -1 (- y 2))) x)) 1)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 (+.f64 y #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- y 2)) (* -1 (/ (+ (* 2 (- y 2)) (* 4 (/ (- y 2) x))) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 (+.f64 y #s(literal -2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x))) x)) x))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y))
(* -1 (/ y (- 2 x)))
(/.f64 y (+.f64 x #s(literal -2 binary64)))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y))
(* -1 (/ y (- 2 x)))
(/.f64 y (+.f64 x #s(literal -2 binary64)))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
2
#s(literal 2 binary64)
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 2 (/ 1 x)) 1))
(-.f64 #s(literal 2 binary64) x)
(* x (- (* 2 (/ 1 x)) 1))
(-.f64 #s(literal 2 binary64) x)
(* x (- (* 2 (/ 1 x)) 1))
(-.f64 #s(literal 2 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* -1/4 y) 1/2))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* y (- (* -1/4 y) 1/2))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* y (- (* -1/4 y) 1/2))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* -1/4 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/4 binary64)))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* -1/4 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/4 binary64)))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* -1/4 y) 1/2)
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(- (* -1/4 y) 1/2)
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(- (* -1/4 y) 1/2)
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(* -1/4 y)
(*.f64 y #s(literal -1/4 binary64))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(* -1/4 y)
(*.f64 y #s(literal -1/4 binary64))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/4 x)))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)) x))
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) x) #s(literal 2 binary64)) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)) x))
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)

eval249.0ms (2.3%)

Memory
22.7MiB live, 284.1MiB allocated
Compiler

Compiled 22 563 to 2 216 computations (90.2% saved)

prune177.0ms (1.6%)

Memory
-20.6MiB live, 311.4MiB allocated
Pruning

19 alts after pruning (8 fresh and 11 done)

PrunedKeptTotal
New1 19951 204
Fresh235
Picked145
Done077
Total1 202191 221
Accuracy
100.0%
Counts
1 221 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.3%
(/.f64 (-.f64 y x) y)
✓89.3%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 x (/.f64 y x) x)))
✓100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓61.5%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
36.2%
(/.f64 (-.f64 x y) (neg.f64 x))
26.4%
(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓52.7%
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
✓52.5%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓49.6%
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓49.1%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
40.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
40.2%
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 y x))
✓14.6%
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
15.1%
(*.f64 y #s(literal -1/2 binary64))
14.5%
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
14.3%
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
✓14.6%
(*.f64 x #s(literal 1/2 binary64))
✓39.9%
#s(literal 1 binary64)
✓35.9%
#s(literal -1 binary64)
Compiler

Compiled 323 to 163 computations (49.5% saved)

regimes26.0ms (0.2%)

Memory
36.6MiB live, 74.9MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(/.f64 y x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 y x) y)
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 x y) (neg.f64 y))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 y x))
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 x (/.f64 y x) x)))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Calls

3 calls:

9.0ms
y
8.0ms
x
7.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes27.0ms (0.2%)

Memory
-16.7MiB live, 61.7MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(/.f64 y x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 y x) y)
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 x y) (neg.f64 y))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 y x))
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
Calls

3 calls:

10.0ms
x
9.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
7.0ms
y
Results
AccuracySegmentsBranch
86.1%3x
87.0%3y
99.1%2(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes7.0ms (0.1%)

Memory
18.6MiB live, 18.6MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(/.f64 y x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 y x) y)
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 x y) (neg.f64 y))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 y x))
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Outputs
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
Calls

1 calls:

6.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
98.9%2(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0.1%)

Memory
-22.7MiB live, 15.9MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(/.f64 y x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 y x) y)
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 x y) (neg.f64 y))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
Calls

1 calls:

6.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
98.9%2(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes6.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(/.f64 y x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 y x) y)
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 x y) (neg.f64 y))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
Outputs
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
Calls

1 calls:

5.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
98.7%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0.1%)

Memory
-23.0MiB live, 14.9MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(/.f64 y x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 y x) y)
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 x y) (neg.f64 y))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Outputs
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
Calls

1 calls:

6.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
98.7%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes5.0ms (0%)

Memory
13.2MiB live, 13.2MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(/.f64 y x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 y x) y)
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 x y) (neg.f64 y))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
Outputs
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
Calls

1 calls:

4.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
98.7%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory
10.0MiB live, 10.0MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(/.f64 y x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
Outputs
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
Calls

1 calls:

3.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
89.9%2(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory
8.9MiB live, 8.9MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(/.f64 y x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
Outputs
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
Calls

1 calls:

3.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
89.8%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes8.0ms (0.1%)

Memory
-21.0MiB live, 15.6MiB allocated
Counts
8 → 4
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(/.f64 y x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
Outputs
#s(literal -1 binary64)
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
Calls

2 calls:

4.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
3.0ms
y
Results
AccuracySegmentsBranch
61.4%3y
88.4%4(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes3.0ms (0%)

Memory
7.3MiB live, 7.3MiB allocated
Counts
7 → 4
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(/.f64 y x)
Outputs
#s(literal -1 binary64)
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
88.1%4(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
5 → 4
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
Outputs
#s(literal -1 binary64)
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y #s(literal -1/2 binary64))
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
88.0%4(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes2.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
4 → 4
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
Outputs
#s(literal -1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
87.8%4(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes8.0ms (0.1%)

Memory
-29.8MiB live, 10.1MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
Outputs
#s(literal -1 binary64)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1 binary64)
Calls

2 calls:

6.0ms
x
2.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
61.8%3x
84.6%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes2.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Calls

1 calls:

1.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
74.1%2(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory
11.3MiB live, 11.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
Outputs
#s(literal -1 binary64)
Calls

3 calls:

1.0ms
x
1.0ms
y
1.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
35.9%1y
35.9%1x
35.9%1(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.8814204787849248e-11
0.9999997259063216
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2.9334705748169105e-7
-7.718403791318627e-9
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.8814204787849248e-11
0.9999997259063216
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.8814204787849248e-11
0.9999997259063216
0.0ms
-2.9334705748169105e-7
-7.718403791318627e-9
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.8814204787849248e-11
0.9999997259063216
0.0ms
-2.9334705748169105e-7
-7.718403791318627e-9
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.8814204787849248e-11
0.9999997259063216
0.0ms
-2.9334705748169105e-7
-7.718403791318627e-9
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.6994300179895514e-186
-9.410675811780887e-194
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
5.1959300457284536e-14
1.8814204787849248e-11
0.0ms
-4.6994300179895514e-186
-9.410675811780887e-194
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
5.1959300457284536e-14
1.8814204787849248e-11
0.0ms
-4.6994300179895514e-186
-9.410675811780887e-194
0.0ms
-0.9999759127048247
-0.00994962229600437
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
5.1959300457284536e-14
1.8814204787849248e-11
0.0ms
-4.6994300179895514e-186
-9.410675811780887e-194
0.0ms
-0.9999759127048247
-0.00994962229600437
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
5.1959300457284536e-14
1.8814204787849248e-11
0.0ms
-4.6994300179895514e-186
-9.410675811780887e-194
0.0ms
-0.9999759127048247
-0.00994962229600437
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
5.1959300457284536e-14
1.8814204787849248e-11
0.0ms
-4.6994300179895514e-186
-9.410675811780887e-194
0.0ms
-0.9999759127048247
-0.00994962229600437
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.8814204787849248e-11
0.9999997259063216
0.0ms
-0.9999759127048247
-0.00994962229600437
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch12.0ms (0.1%)

Memory
-15.6MiB live, 22.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
-1.3946494897468986e-273
1.3148685889756305e-243
Samples
5.0ms208×0valid
Compiler

Compiled 118 to 116 computations (1.7% saved)

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

simplify14.0ms (0.1%)

Memory
30.8MiB live, 30.8MiB allocated
Algorithm
1×egg-herbie
Rules
28×+-commutative_binary64
18×sub-neg_binary64
16×*-commutative_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072513
193513
2109513
3120513
4124513
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (-.f64 x y) #s(literal 2 binary64)) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (-.f64 x y) #s(literal 2 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (-.f64 x y) #s(literal 2 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -2449441655328671/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -2449441655328671/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -2449441655328671/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -2449441655328671/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -2449441655328671/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -2449441655328671/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) (*.f64 x #s(literal 1/2 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (-.f64 x y) #s(literal 2 binary64)) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (-.f64 x y) #s(literal 2 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (-.f64 x y) #s(literal 2 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -2449441655328671/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -2449441655328671/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -2449441655328671/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -2449441655328671/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -2449441655328671/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -2449441655328671/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) (*.f64 x #s(literal 1/2 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

soundness1.8s (16.6%)

Memory
-0.4MiB live, 1 192.9MiB allocated
Rules
12 994×accelerator-lowering-fma.f32
12 994×accelerator-lowering-fma.f64
12 038×accelerator-lowering-fma.f32
12 038×accelerator-lowering-fma.f64
9 196×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0157812
1457768
21259754
33709714
08305677
04892358
114942201
244912060
082451975
01551
19749
279948
0880148
03872032
111811919
236051816
085771723
0186985
1571921
21809857
37607851
08573806
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 919 to 371 computations (59.6% saved)

preprocess106.0ms (1%)

Memory
-21.1MiB live, 269.9MiB allocated
Compiler

Compiled 1 086 to 174 computations (84% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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