Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, B

Time bar (total: 6.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze23.0ms (0.4%)

Memory
9.8MiB live, 48.9MiB allocated
Algorithm
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
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
68.8%68.7%31.2%0.1%0%0%0%6
78.1%78%21.9%0.1%0%0%0%7
82.8%82.7%17.2%0.1%0%0%0%8
88.3%88.2%11.7%0.1%0%0%0%9
91%90.9%9%0.1%0%0%0%10
93.9%93.9%6%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.1s (17.9%)

Memory
-10.3MiB live, 1 018.9MiB allocated
Samples
735.0ms8 253×0valid
0.0ms2valid
0.0ms3valid
Precisions
Click to see histograms. Total time spent on operations: 267.0ms
ival-div: 117.0ms (43.8% of total)
ival-mult: 58.0ms (21.7% of total)
ival-add: 39.0ms (14.6% of total)
ival-sub: 35.0ms (13.1% of total)
exact: 8.0ms (3% of total)
ival-true: 6.0ms (2.2% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain103.0ms (1.6%)

Memory
25.6MiB live, 223.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
340-0-(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
00-0-(/.f64 (*.f64 x y) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-(*.f64 x y)
00-0-(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
00-0-(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
00-0-#s(literal 2 binary64)
00-0-y
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))n/o10
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))overflow34
(/.f64 (*.f64 x y) #s(literal 2 binary64))overflow34
(*.f64 x y)overflow34
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
32.0ms512×0valid
Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 6.0ms (37.5% of total)
ival-mult: 4.0ms (25% of total)
ival-sub: 2.0ms (12.5% of total)
ival-add: 2.0ms (12.5% of total)
exact: 1.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess60.0ms (0.9%)

Memory
4.7MiB live, 42.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02363
15761
212157
325355
454755
591555
6102655
7105055
8106055
9106455
0911
01411
12211
23311
34811
49011
516311
627411
737311
860011
969611
1081711
1185311
12101611
13102511
0102510
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Outputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify33.0ms (0.5%)

Memory
-21.9MiB live, 14.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
cost-diff0
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
cost-diff128
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
cost-diff384
(/.f64 (*.f64 x y) #s(literal 2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0939
01439
12239
23339
34839
49039
516339
627439
737339
860039
969639
1081739
1185339
12101639
13102539
0102536
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
x
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
y
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
#s(literal 2 binary64)
Outputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
x
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
y
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
#s(literal 2 binary64)

localize21.0ms (0.3%)

Memory
23.1MiB live, 23.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
accuracy0.0
(*.f64 x y)
accuracy0.00390625
(/.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy8.019486641499224
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
Samples
15.0ms256×0valid
Compiler

Compiled 80 to 20 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (38.1% of total)
ival-mult: 2.0ms (25.4% of total)
ival-sub: 1.0ms (12.7% of total)
ival-add: 1.0ms (12.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
5 → 47
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 x y)
Outputs
(* 1/2 (* x y))
1
(+ 1 (* 1/2 (* x y)))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(* x y)
(* x (+ (* 1/2 y) (/ 1 x)))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* y (+ (* 1/2 x) (/ 1 y)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((/ (* x y) 2) (+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x y))
1.0ms
y
@0
((/ (* x y) 2) (+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x y))
1.0ms
y
@inf
((/ (* x y) 2) (+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x y))
1.0ms
x
@0
((/ (* x y) 2) (+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x y))
1.0ms
y
@-inf
((/ (* x y) 2) (+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x y))

simplify239.0ms (3.8%)

Memory
-14.2MiB live, 136.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0231702
1738677
21999654
36194648
08591614
Stop Event
iter limit
node limit
Counts
47 → 45
Calls
Call 1
Inputs
(* 1/2 (* x y))
1
(+ 1 (* 1/2 (* x y)))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(* x y)
(* x (+ (* 1/2 y) (/ 1 x)))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* y (+ (* 1/2 x) (/ 1 y)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
Outputs
(* 1/2 (* x y))
(*.f64 (*.f64 y x) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y))
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x (neg.f64 y))
y
(+ y (* -1/2 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x y)
(* x y)
(*.f64 y x)
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x (/.f64 (-.f64 (/.f64 #s(literal -8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #s(literal -4 binary64) (*.f64 x x))) y))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 y y) x))) x) #s(literal -2 binary64)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (-.f64 (/.f64 #s(literal -16 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 y y) x))) x))) x)
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x (/.f64 (-.f64 (/.f64 #s(literal -8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #s(literal -4 binary64) (*.f64 x x))) y))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 y y) x))) x) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 #s(literal 8 binary64) (*.f64 y y))) x)) x) #s(literal -2 binary64)) x)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y))
(* y (+ 1 (* -1/2 (* x y))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64))) y)) y #s(literal 1 binary64)) y)
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x)
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 y y) x))) x)) x) x)
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y)) (/.f64 #s(literal 2 binary64) x))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 y y) x))) x) #s(literal -2 binary64)) x)
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(-.f64 (/.f64 (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 y y) x))) x)) x))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 y y) x))) x)) x) x)
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y)) (/.f64 #s(literal 2 binary64) x))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 y y) x))) x) #s(literal -2 binary64)) x)
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(-.f64 (/.f64 (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 y y) x))) x)) x))

rewrite312.0ms (4.9%)

Memory
-13.0MiB live, 153.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
01435
16335
250035
3690235
0855632
Stop Event
iter limit
node limit
iter limit
Counts
5 → 279
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 x y)
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 (neg.f64 x) (/.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(*.f64 (neg.f64 y) (/.f64 x #s(literal -2 binary64)))
(*.f64 (neg.f64 y) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (neg.f64 x) y) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 (*.f64 y x) #s(literal 1/2 binary64))
(*.f64 y (*.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(*.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y x)))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 6 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))))
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(*.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) y)
(*.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
(*.f64 y (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y))
(/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y))
(/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(neg.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))))
(fma.f64 (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 y x))))
(fma.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) (*.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) (/.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (log.f64 y)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 y x))))
(+.f64 (*.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y x)
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))

eval266.0ms (4.2%)

Memory
21.9MiB live, 63.0MiB allocated
Compiler

Compiled 8 357 to 1 088 computations (87% saved)

prune17.0ms (0.3%)

Memory
-17.7MiB live, 20.9MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New29510305
Fresh000
Picked101
Done000
Total29610306
Accuracy
100.0%
Counts
306 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) y x)
71.1%
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
75.1%
(-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
99.7%
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
99.7%
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
62.6%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)))
58.4%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
66.1%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
75.5%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
29.2%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
Compiler

Compiled 322 to 234 computations (27.3% saved)

simplify65.0ms (1%)

Memory
2.3MiB live, 40.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
cost-diff0
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
cost-diff5952
(fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) y x)
cost-diff0
(*.f64 (*.f64 y y) x)
cost-diff0
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)
cost-diff0
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y))
cost-diff0
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)))
cost-diff0
(/.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
cost-diff0
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
(/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff0
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029170
047169
180169
2131169
3186164
4349164
5564164
6959164
71180164
81528164
91638164
101691164
111695164
121696164
131696164
01696164
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
x
(/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
y
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 y x)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
(neg.f64 y)
y
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
x
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)))
x
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
#s(literal -1/2 binary64)
(fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) y x)
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
#s(literal -1/2 binary64)
(*.f64 y x)
y
x
#s(literal -1 binary64)
Outputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(-.f64 x (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
x
(/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
y
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
(neg.f64 y)
y
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
x
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) x) y)))
x
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) x) y))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) x) y)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
#s(literal -1/2 binary64)
(fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) y x)
(-.f64 x (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
#s(literal -1/2 binary64)
(*.f64 y x)
y
x
#s(literal -1 binary64)

localize152.0ms (2.4%)

Memory
-2.0MiB live, 76.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
accuracy0.0
(*.f64 y x)
accuracy0.0234375
(fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) y x)
accuracy0.4581677362311094
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
accuracy0.0
(*.f64 y y)
accuracy0.00390625
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)
accuracy7.5466960952647515
(*.f64 (*.f64 y y) x)
accuracy29.511657761563388
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y))
accuracy0.0
(/.f64 #s(literal 2 binary64) x)
accuracy0.0
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
accuracy34.12876380816016
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
accuracy0.0
(neg.f64 y)
accuracy45.29391940690013
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
accuracy0.0
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy0.0
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
accuracy0.0
(*.f64 y x)
accuracy8.019486641499224
(/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
Samples
88.0ms256×0valid
Compiler

Compiled 321 to 61 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-mult: 51.0ms (69.4% of total)
ival-div: 8.0ms (10.9% of total)
ival-add: 5.0ms (6.8% of total)
ival-pow: 5.0ms (6.8% of total)
ival-sub: 2.0ms (2.7% of total)
exact: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
16.0MiB live, 16.0MiB allocated
Counts
17 → 82
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 y x)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
(neg.f64 y)
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)
(*.f64 (*.f64 y y) x)
(fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) y x)
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(*.f64 y y)
Outputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
1
(+ 1 (* 1/2 (* x y)))
(* x y)
(/ 2 x)
(* x (pow y 2))
(+ (* -1 y) (* x (- 1 (* -1/2 (pow y 2)))))
(+ (* -1 y) (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))))
(+ (* -1 y) (* x (- (+ 1 (* x (- (* 1/8 (* x (pow y 4))) (* 1/4 (pow y 3))))) (* -1/2 (pow y 2)))))
-1
(- (* 1/2 (* x y)) 1)
(- (* x (- (* -1/4 (* x (pow y 2))) (* -1/2 y))) 1)
(- (* x (- (* x (- (* 1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* -1/2 y))) 1)
(- (* -1/2 (* x y)) 1)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* -1/2 (* x (pow y 2)))
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(/ -2 (* x y))
(/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x)
(/ (- (/ 4 (* x (pow y 2))) (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/ (- (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))) (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3)))))) x)
(* -1/2 (* x y))
(* x (- (* -1/2 y) (/ 1 x)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* -1 (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow y 2))) (* 8 (/ 1 (* x (pow y 3))))) x)) (* 2 (/ 1 y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 3))) (* 16 (/ 1 (* x (pow y 4))))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(* -1 (* x (+ (* 1/2 y) (/ 1 x))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)
(- (* y (- (* y (- (* 1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* -1/2 x))) 1)
(pow y 2)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* y (+ (* 1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y)
(/ (- (/ 4 (* (pow x 2) y)) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/ (- (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) y)
(* y (- (* -1/2 x) (/ 1 y)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(* -1 (* y (+ (* 1/2 x) (/ 1 y))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@0
((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (+ (* (pow (+ (* -1/2 (* y x)) -1) -1) y) x) (pow (+ (* -1/2 (* y x)) -1) -1) (+ (* -1/2 (* y x)) -1) (* y y))
2.0ms
x
@inf
((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (+ (* (pow (+ (* -1/2 (* y x)) -1) -1) y) x) (pow (+ (* -1/2 (* y x)) -1) -1) (+ (* -1/2 (* y x)) -1) (* y y))
2.0ms
x
@-inf
((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (+ (* (pow (+ (* -1/2 (* y x)) -1) -1) y) x) (pow (+ (* -1/2 (* y x)) -1) -1) (+ (* -1/2 (* y x)) -1) (* y y))
2.0ms
y
@inf
((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (+ (* (pow (+ (* -1/2 (* y x)) -1) -1) y) x) (pow (+ (* -1/2 (* y x)) -1) -1) (+ (* -1/2 (* y x)) -1) (* y y))
2.0ms
y
@-inf
((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (+ (* (pow (+ (* -1/2 (* y x)) -1) -1) y) x) (pow (+ (* -1/2 (* y x)) -1) -1) (+ (* -1/2 (* y x)) -1) (* y y))

simplify192.0ms (3%)

Memory
15.3MiB live, 127.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03381219
110741171
229311140
083031079
Stop Event
iter limit
node limit
Counts
82 → 80
Calls
Call 1
Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
1
(+ 1 (* 1/2 (* x y)))
(* x y)
(/ 2 x)
(* x (pow y 2))
(+ (* -1 y) (* x (- 1 (* -1/2 (pow y 2)))))
(+ (* -1 y) (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))))
(+ (* -1 y) (* x (- (+ 1 (* x (- (* 1/8 (* x (pow y 4))) (* 1/4 (pow y 3))))) (* -1/2 (pow y 2)))))
-1
(- (* 1/2 (* x y)) 1)
(- (* x (- (* -1/4 (* x (pow y 2))) (* -1/2 y))) 1)
(- (* x (- (* x (- (* 1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* -1/2 y))) 1)
(- (* -1/2 (* x y)) 1)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* -1/2 (* x (pow y 2)))
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(/ -2 (* x y))
(/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x)
(/ (- (/ 4 (* x (pow y 2))) (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/ (- (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))) (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3)))))) x)
(* -1/2 (* x y))
(* x (- (* -1/2 y) (/ 1 x)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* -1 (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow y 2))) (* 8 (/ 1 (* x (pow y 3))))) x)) (* 2 (/ 1 y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 3))) (* 16 (/ 1 (* x (pow y 4))))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(* -1 (* x (+ (* 1/2 y) (/ 1 x))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)
(- (* y (- (* y (- (* 1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* -1/2 x))) 1)
(pow y 2)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* y (+ (* 1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y)
(/ (- (/ 4 (* (pow x 2) y)) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/ (- (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) y)
(* y (- (* -1/2 x) (/ 1 y)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(* -1 (* y (+ (* 1/2 x) (/ 1 y))))
Outputs
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x (neg.f64 y))
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y))
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x x) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) y)
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x y)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(+ (* -1 y) (* x (- 1 (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x (neg.f64 y))
(+ (* -1 y) (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y))
(+ (* -1 y) (* x (- (+ 1 (* x (- (* 1/8 (* x (pow y 4))) (* 1/4 (pow y 3))))) (* -1/2 (pow y 2)))))
(-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x x) y)
-1
#s(literal -1 binary64)
(- (* 1/2 (* x y)) 1)
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(- (* x (- (* -1/4 (* x (pow y 2))) (* -1/2 y))) 1)
(fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64))) x #s(literal -1 binary64))
(- (* x (- (* x (- (* 1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* -1/2 y))) 1)
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) y #s(literal -1/4 binary64))) x (*.f64 #s(literal 1/2 binary64) y)) x #s(literal -1 binary64))
(- (* -1/2 (* x y)) 1)
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) x #s(literal -1 binary64))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x x)
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) y) y)) x x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) x)
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(* -1/2 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) x) y)
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) y)
(/ -2 (* x y))
(/.f64 (/.f64 #s(literal -2 binary64) y) x)
(/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x)
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) y)
(/ (- (/ 4 (* x (pow y 2))) (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) y)
(/ (- (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))) (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3)))))) x)
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) y) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) (/.f64 #s(literal 2 binary64) y)) x)
(* -1/2 (* x y))
(*.f64 (*.f64 #s(literal -1/2 binary64) y) x)
(* x (- (* -1/2 y) (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) x #s(literal -1 binary64))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x x)
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(*.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x))) (pow.f64 x #s(literal 3 binary64)))))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 #s(literal 8 binary64) (*.f64 y y))) x)) x) #s(literal 2 binary64)) x)
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) y)
(* -1 (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) y)
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow y 2))) (* 8 (/ 1 (* x (pow y 3))))) x)) (* 2 (/ 1 y))) x))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) y) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 3))) (* 16 (/ 1 (* x (pow y 4))))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) y) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x)) (neg.f64 x))
(* -1 (* x (+ (* 1/2 y) (/ 1 x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) x #s(literal -1 binary64))
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) y (*.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y x)
(* y (+ 1 (* -1/2 (* x y))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/4 binary64))) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64))) y)) y #s(literal 1 binary64)) y)
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) y (*.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y x)
(- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) y (*.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64))
(- (* y (- (* y (- (* 1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* -1/2 x))) 1)
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) y (*.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64))
(pow y 2)
(*.f64 y y)
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x)
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x)
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))))
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) y)
(/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y)
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) y)
(/ (- (/ 4 (* (pow x 2) y)) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) y)
(/ (- (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) y)
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))) y)
(* y (- (* -1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) x #s(literal -1 binary64))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x)
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) y)) (/.f64 #s(literal 2 binary64) x))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) y) (/.f64 #s(literal 2 binary64) x))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(* -1 (/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) y)
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) y))
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) y)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y) (/.f64 #s(literal 4 binary64) (*.f64 x x))) y) (/.f64 #s(literal 2 binary64) x)) y)
(* -1 (* y (+ (* 1/2 x) (/ 1 y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) x #s(literal -1 binary64))

rewrite478.0ms (7.5%)

Memory
-8.0MiB live, 187.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029153
047148
1222147
21452147
08492147
Stop Event
iter limit
node limit
iter limit
Counts
17 → 359
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 y x)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
(neg.f64 y)
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)
(*.f64 (*.f64 y y) x)
(fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) y x)
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(*.f64 y y)
Outputs
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) x) (*.f64 x x)) #s(literal -1 binary64)))
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(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) #s(literal -1/2 binary64) (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
(/.f64 (exp.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))
(/.f64 (exp.f64 (log.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)))) (exp.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval80.0ms (1.3%)

Memory
21.1MiB live, 95.0MiB allocated
Compiler

Compiled 13 608 to 1 544 computations (88.7% saved)

prune27.0ms (0.4%)

Memory
-5.7MiB live, 32.1MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New4144418
Fresh325
Picked145
Done000
Total41810428
Accuracy
100.0%
Counts
428 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.1%
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
99.7%
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y x)
66.1%
(fma.f64 #s(approx (pow (+ (* -1/2 (* y x)) -1) -1) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y x)
75.1%
(-.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (neg.f64 y))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))
99.7%
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
99.7%
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
62.6%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)))
58.4%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
75.5%
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
29.2%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
Compiler

Compiled 293 to 193 computations (34.1% saved)

simplify241.0ms (3.8%)

Memory
-11.1MiB live, 112.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff128
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (neg.f64 y))
cost-diff192
(-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (neg.f64 y)))
cost-diff1024
(*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
cost-diff2048
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (neg.f64 y))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
cost-diff0
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))
cost-diff0
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
cost-diff128
(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
cost-diff768
(/.f64 x (/.f64 #s(literal 2 binary64) y))
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
cost-diff0
#s(approx (pow (+ (* -1/2 (* y x)) -1) -1) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))
cost-diff0
(fma.f64 #s(approx (pow (+ (* -1/2 (* y x)) -1) -1) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y x)
cost-diff0
(-.f64 x y)
cost-diff0
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
cost-diff-5760
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
cost-diff5952
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y x)
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039282
065216
1139207
2352207
31558203
44591203
57756203
08128203
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
#s(literal -1/2 binary64)
(*.f64 y x)
y
x
#s(literal -1 binary64)
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
(-.f64 x y)
x
y
(fma.f64 #s(approx (pow (+ (* -1/2 (* y x)) -1) -1) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y x)
#s(approx (pow (+ (* -1/2 (* y x)) -1) -1) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
#s(literal 1/2 binary64)
(*.f64 y x)
y
x
#s(literal -1 binary64)
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
x
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))
y
(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
#s(literal 1 binary64)
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
(-.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (neg.f64 y))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))
x
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (neg.f64 y))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
(-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (neg.f64 y)))
(*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
#s(literal 0 binary64)
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 y x)
y
#s(literal 1 binary64)
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (neg.f64 y))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(neg.f64 y)
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
Outputs
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y x)
(+.f64 (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))
#s(literal -1/2 binary64)
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal -1 binary64)
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
(-.f64 x y)
x
y
(fma.f64 #s(approx (pow (+ (* -1/2 (* y x)) -1) -1) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y x)
(fma.f64 #s(approx (pow (+ (* -1/2 (* y x)) -1) -1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64))) y x)
#s(approx (pow (+ (* -1/2 (* y x)) -1) -1) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))
#s(approx (pow (+ (* -1/2 (* y x)) -1) -1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64))
#s(literal 1/2 binary64)
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal -1 binary64)
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
(+.f64 (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) x)
x
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))
(/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)))
y
(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(/.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
(-.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (neg.f64 y))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))
(+.f64 (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) x)
x
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (neg.f64 y))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
(/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (neg.f64 y)))
(*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)
(*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
#s(literal 0 binary64)
#s(literal 0 binary64)
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 y x)
(*.f64 x y)
y
#s(literal 1 binary64)
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (neg.f64 y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y)
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))
(neg.f64 y)
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)))

localize225.0ms (3.6%)

Memory
-4.9MiB live, 192.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.06640625
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (neg.f64 y))
accuracy0.12337875976844201
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
accuracy8.367140715007679
(*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
accuracy18.7698847908596
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (neg.f64 y))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
accuracy0.0
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
accuracy0.0
(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
accuracy0.19140625
(/.f64 x (/.f64 #s(literal 2 binary64) y))
accuracy8.019486641499224
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))
accuracy0.0
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
accuracy0.0
(*.f64 y x)
accuracy0.0234375
(fma.f64 #s(approx (pow (+ (* -1/2 (* y x)) -1) -1) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y x)
accuracy29.457287870490955
#s(approx (pow (+ (* -1/2 (* y x)) -1) -1) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))
accuracy0.0
(-.f64 x y)
accuracy15.65810056958141
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
accuracy0.0
(fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
accuracy0.0
(*.f64 y x)
accuracy0.0234375
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y x)
accuracy0.4581677362311094
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))
Samples
196.0ms256×0valid
Compiler

Compiled 574 to 83 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 154.0ms
ival-sub: 114.0ms (74.2% of total)
ival-mult: 12.0ms (7.8% of total)
ival-div: 9.0ms (5.9% of total)
ival-add: 8.0ms (5.2% of total)
ival-pow: 7.0ms (4.6% of total)
ival-neg: 2.0ms (1.3% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
20.8MiB live, 20.8MiB allocated
Counts
18 → 108
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(*.f64 y x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
(-.f64 x y)
(fma.f64 #s(approx (pow (+ (* -1/2 (* y x)) -1) -1) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y x)
#s(approx (pow (+ (* -1/2 (* y x)) -1) -1) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (neg.f64 y))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
(*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (neg.f64 y)))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (neg.f64 y))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
Outputs
(* -1 y)
(+ (* -1 y) (* x (- 1 (* -1/2 (pow y 2)))))
(+ (* -1 y) (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))))
(+ (* -1 y) (* x (- (+ 1 (* x (- (* 1/8 (* x (pow y 4))) (* 1/4 (pow y 3))))) (* -1/2 (pow y 2)))))
-1
(- (* -1/2 (* x y)) 1)
(* x y)
(- (* 1/2 (* x y)) 1)
(- (* x (- (* -1/4 (* x (pow y 2))) (* -1/2 y))) 1)
(- (* x (- (* x (- (* 1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* -1/2 y))) 1)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(- x y)
(* 1/2 (* x y))
1
(+ 1 (* 1/2 (* x y)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
0
(- (* -1/2 (* x (pow y 2))) y)
(+ y (* 1/2 (* x (pow y 2))))
(- (* -1 (* x y)) 1)
(- (* x (+ (* -1 y) (* -1/4 (* x (pow y 2))))) 1)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(* -1/2 (* x y))
(* x (- (* -1/2 y) (/ 1 x)))
(/ -2 (* x y))
(/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x)
(/ (- (/ 4 (* x (pow y 2))) (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/ (- (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))) (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3)))))) x)
(* x (+ 1 (* -1 (/ y x))))
(* x (- (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* -1/2 (* x (pow y 2)))
(* x (- (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* 1/2 (* x (pow y 2)))
(* x (+ (* 1/2 (pow y 2)) (/ y x)))
(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ y x)) (* -1/4 (pow y 2))))
(* (pow x 2) (- (+ (* -1 (/ y x)) (* -1/4 (pow y 2))) (/ 1 (pow x 2))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (* x (+ (* 1/2 y) (/ 1 x))))
(* -1 (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow y 2))) (* 8 (/ 1 (* x (pow y 3))))) x)) (* 2 (/ 1 y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 3))) (* 16 (/ 1 (* x (pow y 4))))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (- (/ y x) (* -1/2 (pow y 2)))))
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (pow y 2)))))
(* (pow x 2) (+ (* -1 (/ (+ y (/ 1 x)) x)) (* -1/4 (pow y 2))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)
(- (* y (- (* y (- (* 1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* -1/2 x))) 1)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* y (- (* -1/2 (* x y)) 1))
(* y (+ 1 (* 1/2 (* x y))))
(- (* y (+ (* -1 x) (* -1/4 (* (pow x 2) y)))) 1)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(* y (- (* -1/2 x) (/ 1 y)))
(/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y)
(/ (- (/ 4 (* (pow x 2) y)) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/ (- (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) y)
(* y (- (/ x y) 1))
(* y (- (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* -1 (* (pow y 2) (+ (* 1/2 x) (/ 1 y))))
(* (pow y 2) (+ (* 1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1 (/ x y)) (* -1/4 (pow x 2))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (* -1/4 (pow x 2))) (/ 1 (pow y 2))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(* -1 (* y (+ (* 1/2 x) (/ 1 y))))
(* -1 (/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* (pow y 2) (+ (* -1 (/ (+ x (/ 1 y)) y)) (* -1/4 (pow x 2))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@inf
((+ (* (/ 1 (+ (* -1/2 (* y x)) -1)) y) x) (+ (* -1/2 (* y x)) -1) (* y x) (/ 1 (+ (* -1/2 (* y x)) -1)) (- x (/ y (+ (* (* y x) 1/2) 1))) (- x y) (+ (* (pow (+ (* -1/2 (* y x)) -1) -1) y) x) (pow (+ (* -1/2 (* y x)) -1) -1) (+ (* 1/2 (* y x)) -1) (/ x (/ 2 y)) (+ 1 (/ x (/ 2 y))) (- x (/ y (+ 1 (/ x (/ 2 y))))) (/ y (+ 1 (/ x (/ 2 y)))) (/ (- (* 0 (+ (* 1/2 (* y x)) 1)) (* (neg (+ (* 1/2 (* y x)) 1)) (neg y))) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1))) (* 0 (+ (* 1/2 (* y x)) 1)) (- (* 0 (+ (* 1/2 (* y x)) 1)) (* (neg (+ (* 1/2 (* y x)) 1)) (neg y))) (* (neg (+ (* 1/2 (* y x)) 1)) (neg y)) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1)))
2.0ms
x
@-inf
((+ (* (/ 1 (+ (* -1/2 (* y x)) -1)) y) x) (+ (* -1/2 (* y x)) -1) (* y x) (/ 1 (+ (* -1/2 (* y x)) -1)) (- x (/ y (+ (* (* y x) 1/2) 1))) (- x y) (+ (* (pow (+ (* -1/2 (* y x)) -1) -1) y) x) (pow (+ (* -1/2 (* y x)) -1) -1) (+ (* 1/2 (* y x)) -1) (/ x (/ 2 y)) (+ 1 (/ x (/ 2 y))) (- x (/ y (+ 1 (/ x (/ 2 y))))) (/ y (+ 1 (/ x (/ 2 y)))) (/ (- (* 0 (+ (* 1/2 (* y x)) 1)) (* (neg (+ (* 1/2 (* y x)) 1)) (neg y))) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1))) (* 0 (+ (* 1/2 (* y x)) 1)) (- (* 0 (+ (* 1/2 (* y x)) 1)) (* (neg (+ (* 1/2 (* y x)) 1)) (neg y))) (* (neg (+ (* 1/2 (* y x)) 1)) (neg y)) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1)))
2.0ms
y
@-inf
((+ (* (/ 1 (+ (* -1/2 (* y x)) -1)) y) x) (+ (* -1/2 (* y x)) -1) (* y x) (/ 1 (+ (* -1/2 (* y x)) -1)) (- x (/ y (+ (* (* y x) 1/2) 1))) (- x y) (+ (* (pow (+ (* -1/2 (* y x)) -1) -1) y) x) (pow (+ (* -1/2 (* y x)) -1) -1) (+ (* 1/2 (* y x)) -1) (/ x (/ 2 y)) (+ 1 (/ x (/ 2 y))) (- x (/ y (+ 1 (/ x (/ 2 y))))) (/ y (+ 1 (/ x (/ 2 y)))) (/ (- (* 0 (+ (* 1/2 (* y x)) 1)) (* (neg (+ (* 1/2 (* y x)) 1)) (neg y))) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1))) (* 0 (+ (* 1/2 (* y x)) 1)) (- (* 0 (+ (* 1/2 (* y x)) 1)) (* (neg (+ (* 1/2 (* y x)) 1)) (neg y))) (* (neg (+ (* 1/2 (* y x)) 1)) (neg y)) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1)))
1.0ms
x
@inf
((+ (* (/ 1 (+ (* -1/2 (* y x)) -1)) y) x) (+ (* -1/2 (* y x)) -1) (* y x) (/ 1 (+ (* -1/2 (* y x)) -1)) (- x (/ y (+ (* (* y x) 1/2) 1))) (- x y) (+ (* (pow (+ (* -1/2 (* y x)) -1) -1) y) x) (pow (+ (* -1/2 (* y x)) -1) -1) (+ (* 1/2 (* y x)) -1) (/ x (/ 2 y)) (+ 1 (/ x (/ 2 y))) (- x (/ y (+ 1 (/ x (/ 2 y))))) (/ y (+ 1 (/ x (/ 2 y)))) (/ (- (* 0 (+ (* 1/2 (* y x)) 1)) (* (neg (+ (* 1/2 (* y x)) 1)) (neg y))) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1))) (* 0 (+ (* 1/2 (* y x)) 1)) (- (* 0 (+ (* 1/2 (* y x)) 1)) (* (neg (+ (* 1/2 (* y x)) 1)) (neg y))) (* (neg (+ (* 1/2 (* y x)) 1)) (neg y)) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1)))
1.0ms
x
@0
((+ (* (/ 1 (+ (* -1/2 (* y x)) -1)) y) x) (+ (* -1/2 (* y x)) -1) (* y x) (/ 1 (+ (* -1/2 (* y x)) -1)) (- x (/ y (+ (* (* y x) 1/2) 1))) (- x y) (+ (* (pow (+ (* -1/2 (* y x)) -1) -1) y) x) (pow (+ (* -1/2 (* y x)) -1) -1) (+ (* 1/2 (* y x)) -1) (/ x (/ 2 y)) (+ 1 (/ x (/ 2 y))) (- x (/ y (+ 1 (/ x (/ 2 y))))) (/ y (+ 1 (/ x (/ 2 y)))) (/ (- (* 0 (+ (* 1/2 (* y x)) 1)) (* (neg (+ (* 1/2 (* y x)) 1)) (neg y))) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1))) (* 0 (+ (* 1/2 (* y x)) 1)) (- (* 0 (+ (* 1/2 (* y x)) 1)) (* (neg (+ (* 1/2 (* y x)) 1)) (neg y))) (* (neg (+ (* 1/2 (* y x)) 1)) (neg y)) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1)))

simplify289.0ms (4.6%)

Memory
-17.1MiB live, 229.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04011501
112731440
235981402
083851314
Stop Event
iter limit
node limit
Counts
108 → 106
Calls
Call 1
Inputs
(* -1 y)
(+ (* -1 y) (* x (- 1 (* -1/2 (pow y 2)))))
(+ (* -1 y) (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))))
(+ (* -1 y) (* x (- (+ 1 (* x (- (* 1/8 (* x (pow y 4))) (* 1/4 (pow y 3))))) (* -1/2 (pow y 2)))))
-1
(- (* -1/2 (* x y)) 1)
(* x y)
(- (* 1/2 (* x y)) 1)
(- (* x (- (* -1/4 (* x (pow y 2))) (* -1/2 y))) 1)
(- (* x (- (* x (- (* 1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* -1/2 y))) 1)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(- x y)
(* 1/2 (* x y))
1
(+ 1 (* 1/2 (* x y)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
0
(- (* -1/2 (* x (pow y 2))) y)
(+ y (* 1/2 (* x (pow y 2))))
(- (* -1 (* x y)) 1)
(- (* x (+ (* -1 y) (* -1/4 (* x (pow y 2))))) 1)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(* -1/2 (* x y))
(* x (- (* -1/2 y) (/ 1 x)))
(/ -2 (* x y))
(/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x)
(/ (- (/ 4 (* x (pow y 2))) (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/ (- (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))) (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3)))))) x)
(* x (+ 1 (* -1 (/ y x))))
(* x (- (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* -1/2 (* x (pow y 2)))
(* x (- (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* 1/2 (* x (pow y 2)))
(* x (+ (* 1/2 (pow y 2)) (/ y x)))
(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ y x)) (* -1/4 (pow y 2))))
(* (pow x 2) (- (+ (* -1 (/ y x)) (* -1/4 (pow y 2))) (/ 1 (pow x 2))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (* x (+ (* 1/2 y) (/ 1 x))))
(* -1 (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow y 2))) (* 8 (/ 1 (* x (pow y 3))))) x)) (* 2 (/ 1 y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 3))) (* 16 (/ 1 (* x (pow y 4))))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (- (/ y x) (* -1/2 (pow y 2)))))
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (pow y 2)))))
(* (pow x 2) (+ (* -1 (/ (+ y (/ 1 x)) x)) (* -1/4 (pow y 2))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)
(- (* y (- (* y (- (* 1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* -1/2 x))) 1)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* y (- (* -1/2 (* x y)) 1))
(* y (+ 1 (* 1/2 (* x y))))
(- (* y (+ (* -1 x) (* -1/4 (* (pow x 2) y)))) 1)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(* y (- (* -1/2 x) (/ 1 y)))
(/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y)
(/ (- (/ 4 (* (pow x 2) y)) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/ (- (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) y)
(* y (- (/ x y) 1))
(* y (- (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* -1 (* (pow y 2) (+ (* 1/2 x) (/ 1 y))))
(* (pow y 2) (+ (* 1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1 (/ x y)) (* -1/4 (pow x 2))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (* -1/4 (pow x 2))) (/ 1 (pow y 2))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(* -1 (* y (+ (* 1/2 x) (/ 1 y))))
(* -1 (/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* (pow y 2) (+ (* -1 (/ (+ x (/ 1 y)) y)) (* -1/4 (pow x 2))))
Outputs
(* -1 y)
(neg.f64 y)
(+ (* -1 y) (* x (- 1 (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
(+ (* -1 y) (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y))
(+ (* -1 y) (* x (- (+ 1 (* x (- (* 1/8 (* x (pow y 4))) (* 1/4 (pow y 3))))) (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x (neg.f64 y))
-1
#s(literal -1 binary64)
(- (* -1/2 (* x y)) 1)
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal -1 binary64))
(* x y)
(*.f64 x y)
(- (* 1/2 (* x y)) 1)
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* x (- (* -1/4 (* x (pow y 2))) (* -1/2 y))) 1)
(fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64))) x #s(literal -1 binary64))
(- (* x (- (* x (- (* 1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* -1/2 y))) 1)
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) y #s(literal -1/4 binary64))) x (*.f64 #s(literal 1/2 binary64) y)) x #s(literal -1 binary64))
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y))
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x (neg.f64 y))
(- x y)
(-.f64 x y)
(* 1/2 (* x y))
(*.f64 (*.f64 x y) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
y
(+ y (* -1/2 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y)
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)))) x (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x y)
0
#s(literal 0 binary64)
(- (* -1/2 (* x (pow y 2))) y)
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal -1 binary64)) y)
(+ y (* 1/2 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y)
(- (* -1 (* x y)) 1)
(fma.f64 (neg.f64 y) x #s(literal -1 binary64))
(- (* x (+ (* -1 y) (* -1/4 (* x (pow y 2))))) 1)
(fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal -1 binary64))) x #s(literal -1 binary64))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x x)
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y y)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) x x)
(* -1/2 (* x y))
(*.f64 (*.f64 x y) #s(literal -1/2 binary64))
(* x (- (* -1/2 y) (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal -1 binary64))
(/ -2 (* x y))
(/.f64 (/.f64 #s(literal -2 binary64) x) y)
(/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x)
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) #s(literal 2 binary64)) x) y)
(/ (- (/ 4 (* x (pow y 2))) (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) y) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x) (/.f64 #s(literal 2 binary64) y)) x)
(/ (- (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))) (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3)))))) x)
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) y) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) (/.f64 #s(literal 2 binary64) y)) x)
(* x (+ 1 (* -1 (/ y x))))
(fma.f64 (/.f64 y #s(literal 1 binary64)) #s(literal -1 binary64) x)
(* x (- (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x y))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal 4 binary64) y)) x) (-.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) x)
(* -1/2 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/2 binary64))
(* x (- (* -1 (/ y x)) (* 1/2 (pow y 2))))
(*.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) x))) x)
(* 1/2 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x)
(* x (+ (* 1/2 (pow y 2)) (/ y x)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (/.f64 y x)) x)
(* -1/4 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) #s(literal -1/4 binary64)) y)
(* (pow x 2) (+ (* -1 (/ y x)) (* -1/4 (pow y 2))))
(*.f64 (*.f64 y (fma.f64 y #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 x x))
(* (pow x 2) (- (+ (* -1 (/ y x)) (* -1/4 (pow y 2))) (/ 1 (pow x 2))))
(*.f64 (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x x)
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(*.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x y) y))) (pow.f64 x #s(literal 3 binary64)))))
(* -1 (* x (+ (* 1/2 y) (/ 1 x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal -1 binary64))
(* -1 (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) #s(literal 2 binary64)) x) y)
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow y 2))) (* 8 (/ 1 (* x (pow y 3))))) x)) (* 2 (/ 1 y))) x))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) y) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 3))) (* 16 (/ 1 (* x (pow y 4))))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) y) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x)) (neg.f64 x))
(* -1 (* x (- (/ y x) 1)))
(fma.f64 (/.f64 y #s(literal 1 binary64)) #s(literal -1 binary64) x)
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x y))) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 #s(literal 8 binary64) (*.f64 y y))) x)) x) #s(literal 2 binary64)) x)
(* -1 (* x (- (/ y x) (* -1/2 (pow y 2)))))
(*.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) x))) x)
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (pow y 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (/.f64 y x)) x)
(* (pow x 2) (+ (* -1 (/ (+ y (/ 1 x)) x)) (* -1/4 (pow y 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) y) y (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) y) x)) x) x)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(fma.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64))) x #s(literal -1 binary64)) y x)
(- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)
(fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64))) x #s(literal -1 binary64))
(- (* y (- (* y (- (* 1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* -1/2 x))) 1)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 1/8 binary64))) y)) y #s(literal -1 binary64))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64))) x #s(literal -1 binary64)) y x)
(* y (+ 1 (* -1/2 (* x y))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y (*.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) y (*.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y)
(* y (- (* -1/2 (* x y)) 1))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal -1 binary64)) y)
(* y (+ 1 (* 1/2 (* x y))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y)
(- (* y (+ (* -1 x) (* -1/4 (* (pow x 2) y)))) 1)
(fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal -1 binary64))) x #s(literal -1 binary64))
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) #s(literal 2 binary64)) x) x)
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal 4 binary64) y)) x)) x) x)
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal 4 binary64) y)) x)) x) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))) x)
(* y (- (* -1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal -1 binary64))
(/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y)
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) #s(literal 2 binary64)) x) y)
(/ (- (/ 4 (* (pow x 2) y)) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal 4 binary64) y)) x)) x) y)
(/ (- (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) y)
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal 4 binary64) y)) x)) x) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x y))) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))))
(* -1 (* (pow y 2) (+ (* 1/2 x) (/ 1 y))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal -1 binary64)) y)
(* (pow y 2) (+ (* 1/2 x) (/ 1 y)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y)
(* (pow y 2) (+ (* -1 (/ x y)) (* -1/4 (pow x 2))))
(*.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal -1 binary64))) x)
(* (pow y 2) (- (+ (* -1 (/ x y)) (* -1/4 (pow x 2))) (/ 1 (pow y 2))))
(*.f64 (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 y y))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal 4 binary64) y)) x)) x) x)
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) y)) (/.f64 #s(literal 2 binary64) x))
(* -1 (* y (+ (* 1/2 x) (/ 1 y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal -1 binary64))
(* -1 (/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) #s(literal 2 binary64)) x) y)
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) y))
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal 4 binary64) y)) x)) x) y)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y) (/.f64 #s(literal 4 binary64) (*.f64 x x))) y) (/.f64 #s(literal 2 binary64) x)) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) y) (/.f64 #s(literal 2 binary64) x))
(* (pow y 2) (+ (* -1 (/ (+ x (/ 1 y)) y)) (* -1/4 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) x) y)) y) y)

rewrite210.0ms (3.3%)

Memory
-19.1MiB live, 300.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038202
063161
1305146
22486146
09187146
Stop Event
iter limit
node limit
iter limit
Counts
18 → 682
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(*.f64 y x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
(-.f64 x y)
(fma.f64 #s(approx (pow (+ (* -1/2 (* y x)) -1) -1) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y x)
#s(approx (pow (+ (* -1/2 (* y x)) -1) -1) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (neg.f64 y))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
(*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (neg.f64 y)))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (neg.f64 y))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
Outputs
(*.f64 (fma.f64 x x (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal -2 binary64))) (pow.f64 (-.f64 x (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal -2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal -3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal -3 binary64))) (pow.f64 (fma.f64 (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) (-.f64 x (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) x) (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal -2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal -3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))) (fma.f64 x x (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) (-.f64 x (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal -3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal -2 binary64)) (-.f64 (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) x)) (*.f64 (-.f64 (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) x) (*.f64 x x))) (*.f64 (-.f64 (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) x) (-.f64 (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))))) (*.f64 (-.f64 x (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal -2 binary64)))) (fma.f64 x x (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) (-.f64 x (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) (-.f64 x (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))) (*.f64 x x)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal -3 binary64)))) (*.f64 (fma.f64 (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) (-.f64 x (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))) (*.f64 x x)) (fma.f64 (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) (-.f64 x (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal -2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) x)))
(/.f64 (neg.f64 (fma.f64 x x (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal -2 binary64)))) (neg.f64 (-.f64 x (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) #s(literal 3 binary64))))
(neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y))
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(fma.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) #s(literal 2 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal -1 binary64)) #s(literal 0 binary64))
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(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal 0 binary64))
(fma.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y)) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y))
(+.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y))
(*.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) y)
(*.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) (neg.f64 (neg.f64 y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y)
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y))
(pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y))
(/.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y))
(/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) #s(literal 2 binary64)))
(neg.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y))
(fma.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) y #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (neg.f64 y) (*.f64 #s(literal -1 binary64) (neg.f64 y)))
(fma.f64 (neg.f64 y) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(fma.f64 (neg.f64 y) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) (neg.f64 (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y))
(+.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (neg.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 y)))
(+.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))))))
(neg.f64 (pow.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) x (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 x y) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 x y)) #s(literal 1/2 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)))
(fma.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)))
(fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)))
(fma.f64 (*.f64 x y) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)))
(-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(+.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)))

eval202.0ms (3.2%)

Memory
24.9MiB live, 175.7MiB allocated
Compiler

Compiled 16 514 to 2 181 computations (86.8% saved)

prune14.0ms (0.2%)

Memory
13.3MiB live, 51.5MiB allocated
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New6251626
Fresh011
Picked145
Done044
Total62610636
Accuracy
100.0%
Counts
636 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.1%
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
99.7%
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y x)
66.1%
(fma.f64 #s(approx (pow (+ (* -1/2 (* y x)) -1) -1) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y x)
75.1%
(-.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))
99.7%
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
99.7%
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
62.6%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)))
58.4%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
75.5%
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
29.2%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
Compiler

Compiled 165 to 119 computations (27.9% saved)

simplify156.0ms (2.5%)

Memory
-27.4MiB live, 127.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff0
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
cost-diff128
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))
cost-diff128
(/.f64 (neg.f64 y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)
cost-diff0
(-.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))
cost-diff128
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
cost-diff2048
(/.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026186
048185
1115182
2394155
31892154
46022154
08262149
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))
x
(/.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)
(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))
(*.f64 x y)
y
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 y x)
#s(literal 1 binary64)
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(neg.f64 y)
y
(fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))
#s(literal 1/8 binary64)
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
x
#s(literal 3 binary64)
#s(literal 1 binary64)
(fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 y x))
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
Outputs
(-.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
x
(/.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
(/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)
(*.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)
(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))
(*.f64 x y)
(*.f64 y x)
y
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 y x)
#s(literal 1 binary64)
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) (*.f64 y x) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) x)
(/.f64 (neg.f64 y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(neg.f64 y)
y
(fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))
#s(literal 1/8 binary64)
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
x
#s(literal 3 binary64)
#s(literal 1 binary64)
(fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) (*.f64 y x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 y x))
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)

localize237.0ms (3.7%)

Memory
-16.9MiB live, 138.5MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.10546875
(fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy0.2034950683790941
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy3.093150228574055
(/.f64 (neg.f64 y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
accuracy16.53269136330569
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
accuracy0.0
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
accuracy0.06640625
(*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)
accuracy0.12337875976844201
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
accuracy18.7698847908596
(/.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
Samples
201.0ms256×0valid
Compiler

Compiled 392 to 59 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 187.0ms
ival-mult: 147.0ms (78.7% of total)
ival-add: 26.0ms (13.9% of total)
ival-pow: 4.0ms (2.1% of total)
ival-div: 3.0ms (1.6% of total)
ival-sub: 2.0ms (1.1% of total)
ival-neg: 2.0ms (1.1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series45.0ms (0.7%)

Memory
-0.2MiB live, 36.3MiB allocated
Counts
11 → 104
Calls
Call 1
Inputs
(/.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(-.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)
(/.f64 (neg.f64 y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(neg.f64 y)
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
Outputs
y
(+ y (* -1 (* x (- (* -1/2 (pow y 2)) (* -1 (pow y 2))))))
(+ y (* x (+ (* -1 (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))) (* x (+ (* -1/4 (pow y 3)) (* y (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))))))))
(+ y (* x (+ (* -1 (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))) (* x (+ (* -1/4 (pow y 3)) (+ (* x (+ (* -1 (* y (+ (* -1/4 (pow y 3)) (* y (- (* -1/2 (pow y 2)) (* -1 (pow y 2))))))) (* 1/4 (* (pow y 2) (- (* -1/2 (pow y 2)) (* -1 (pow y 2))))))) (* y (- (* -1/2 (pow y 2)) (* -1 (pow y 2))))))))))
-1
(- (* -1/2 (* x y)) 1)
(* -1 y)
(- (* x (- 1 (* -1 (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))))) y)
(- (* x (- (+ 1 (* -1 (* x (+ (* -1/4 (pow y 3)) (* y (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))))))) (* -1 (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))))) y)
(- (* x (- (+ 1 (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1/4 (pow y 3)) (* y (- (* -1/2 (pow y 2)) (* -1 (pow y 2))))))) (* 1/4 (* (pow y 2) (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))))))) (+ (* -1/4 (pow y 3)) (* y (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))))))) (* -1 (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))))) y)
(+ (* -1 y) (* -1/2 (* x (pow y 2))))
(+ (* -1 y) (* 1/8 (* (pow x 3) (pow y 4))))
(+ (* -1 y) (* (pow x 3) (+ (* -1/64 (* (pow x 3) (pow y 7))) (* 1/8 (pow y 4)))))
(+ (* -1 y) (* (pow x 3) (+ (* 1/8 (pow y 4)) (* (pow x 3) (+ (* -1/64 (pow y 7)) (* 1/512 (* (pow x 3) (pow y 10))))))))
-1/2
(- (* 1/4 (* x y)) 1/2)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))))
(+ (* -1 y) (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))))
(- (* -1 (* x y)) 1)
(- (* x (+ (* -1 y) (* -1/4 (* x (pow y 2))))) 1)
(* (pow x 3) (pow y 3))
1
(+ 1 (* -1/2 (* x y)))
(+ 1 (* x (+ (* -1/2 y) (* 1/4 (* x (pow y 2))))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* -1/2 (* x y))
(* -1 (* x (+ (* 1/2 y) (/ 1 x))))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(* -1/2 (* x (pow y 2)))
(* x (+ (* -1 (/ y x)) (* -1/2 (pow y 2))))
(/ -8 (* (pow x 3) (pow y 2)))
(/ (- (* 64 (/ 1 (* (pow x 3) (pow y 5)))) (* 8 (/ 1 (pow y 2)))) (pow x 3))
(/ (- (/ 64 (* (pow x 3) (pow y 5))) (+ (* 8 (/ 1 (pow y 2))) (/ 512 (* (pow x 6) (pow y 8))))) (pow x 3))
(/ (- (+ (* 4096 (/ 1 (* (pow x 9) (pow y 11)))) (/ 64 (* (pow x 3) (pow y 5)))) (+ (* 512 (/ 1 (* (pow x 6) (pow y 8)))) (* 8 (/ 1 (pow y 2))))) (pow x 3))
(* 1/4 (* x y))
(* x (- (* 1/4 y) (* 1/2 (/ 1 x))))
(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ y x)) (* -1/4 (pow y 2))))
(* (pow x 2) (- (+ (* -1 (/ y x)) (* -1/4 (pow y 2))) (/ 1 (pow x 2))))
(* 1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/2 (/ y x)) (* 1/4 (pow y 2))))
(* (pow x 2) (+ (* -1/2 (/ y x)) (+ (* 1/4 (pow y 2)) (/ 1 (pow x 2)))))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (- (/ 1 x) (* -1/2 y))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (* x (+ (* 1/2 (pow y 2)) (/ y x))))
(* -1 (/ (- (* 8 (/ 1 (pow y 2))) (* 64 (/ 1 (* (pow x 3) (pow y 5))))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* 64 (/ 1 (pow y 5))) (* 512 (/ 1 (* (pow x 3) (pow y 8))))) (pow x 3))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 512 (/ 1 (pow y 8))) (* 4096 (/ 1 (* (pow x 3) (pow y 11))))) (pow x 3))) (* 64 (/ 1 (pow y 5)))) (pow x 3))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(* -1 (* x (+ (* -1/4 y) (* 1/2 (/ 1 x)))))
(* (pow x 2) (+ (* -1 (/ (+ y (/ 1 x)) x)) (* -1/4 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (- (* 1/2 y) (/ 1 x)) x)) (* 1/4 (pow y 2))))
(* y (+ 1 (* -1 (* y (- (* -1/2 x) (* -1 x))))))
(* y (+ 1 (* y (+ (* -1 (- (* -1/2 x) (* -1 x))) (* y (+ (* -1/4 (pow x 2)) (* x (- (* -1/2 x) (* -1 x)))))))))
(* y (+ 1 (* y (+ (* -1 (- (* -1/2 x) (* -1 x))) (* y (+ (* -1/4 (pow x 2)) (+ (* x (- (* -1/2 x) (* -1 x))) (* y (+ (* -1 (* x (+ (* -1/4 (pow x 2)) (* x (- (* -1/2 x) (* -1 x)))))) (* 1/4 (* (pow x 2) (- (* -1/2 x) (* -1 x)))))))))))))
(+ x (* -1 y))
(+ x (* y (- (* y (- (* -1/2 x) (* -1 x))) 1)))
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1/4 (pow x 2)) (* x (- (* -1/2 x) (* -1 x)))))) (* -1 (- (* -1/2 x) (* -1 x))))) 1)))
(* y (- (* -1/2 (* x y)) 1))
(* y (- (* 1/8 (* (pow x 3) (pow y 3))) 1))
(* y (- (* (pow y 3) (+ (* -1/64 (* (pow x 6) (pow y 3))) (* 1/8 (pow x 3)))) 1))
(* y (- (* (pow y 3) (+ (* 1/8 (pow x 3)) (* (pow y 3) (+ (* -1/64 (pow x 6)) (* 1/512 (* (pow x 9) (pow y 3))))))) 1))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- (* y (+ (* -1 x) (* -1/4 (* (pow x 2) y)))) 1)
(+ 1 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y)))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* -1 (* y (+ (* 1/2 x) (/ 1 y))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(* (pow y 2) (- (* -1/2 x) (/ 1 y)))
(/ (- (* 64 (/ 1 (* (pow x 6) (pow y 3)))) (* 8 (/ 1 (pow x 3)))) (pow y 2))
(/ (- (/ 64 (* (pow x 6) (pow y 3))) (+ (* 8 (/ 1 (pow x 3))) (/ 512 (* (pow x 9) (pow y 6))))) (pow y 2))
(/ (- (+ (* 4096 (/ 1 (* (pow x 12) (pow y 9)))) (/ 64 (* (pow x 6) (pow y 3)))) (+ (* 512 (/ 1 (* (pow x 9) (pow y 6)))) (* 8 (/ 1 (pow x 3))))) (pow y 2))
(* y (- (* 1/4 x) (* 1/2 (/ 1 y))))
(* (pow y 2) (+ (* -1 (/ x y)) (* -1/4 (pow x 2))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (* -1/4 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/4 (pow x 2))))
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* 1/4 (pow x 2)) (/ 1 (pow y 2)))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (* y (- (/ 1 y) (* -1/2 x))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(/ (- (* -1 (/ (- (* 512 (/ 1 (* (pow x 9) (pow y 3)))) (* 64 (/ 1 (pow x 6)))) (pow y 3))) (* 8 (/ 1 (pow x 3)))) (pow y 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 4096 (/ 1 (* (pow x 12) (pow y 3)))) (* 512 (/ 1 (pow x 9)))) (pow y 3))) (* 64 (/ 1 (pow x 6)))) (pow y 3))) (* 8 (/ 1 (pow x 3)))) (pow y 2))
(* -1 (* y (+ (* -1/4 x) (* 1/2 (/ 1 y)))))
(* (pow y 2) (+ (* -1 (/ (+ x (/ 1 y)) y)) (* -1/4 (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (- (* 1/2 x) (/ 1 y)) y)) (* 1/4 (pow x 2))))
Calls

6 calls:

TimeVariablePointExpression
27.0ms
y
@-inf
((/ (* (+ (* (* x y) -1/2) -1) y) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1))) (neg (+ (* 1/2 (* y x)) 1)) (- x (/ (* (+ (* (* x y) -1/2) -1) y) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1)))) (* (+ (* (* x y) -1/2) -1) y) (/ (neg y) (+ (* 1/8 (pow (* y x) 3)) 1)) (- (* 1/4 (* y x)) 1/2) (+ (* (/ (neg y) (+ (* 1/8 (pow (* y x) 3)) 1)) (+ (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1)) x) (neg y) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1)) (pow (* y x) 3) (+ (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1))
4.0ms
x
@0
((/ (* (+ (* (* x y) -1/2) -1) y) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1))) (neg (+ (* 1/2 (* y x)) 1)) (- x (/ (* (+ (* (* x y) -1/2) -1) y) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1)))) (* (+ (* (* x y) -1/2) -1) y) (/ (neg y) (+ (* 1/8 (pow (* y x) 3)) 1)) (- (* 1/4 (* y x)) 1/2) (+ (* (/ (neg y) (+ (* 1/8 (pow (* y x) 3)) 1)) (+ (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1)) x) (neg y) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1)) (pow (* y x) 3) (+ (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1))
3.0ms
y
@inf
((/ (* (+ (* (* x y) -1/2) -1) y) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1))) (neg (+ (* 1/2 (* y x)) 1)) (- x (/ (* (+ (* (* x y) -1/2) -1) y) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1)))) (* (+ (* (* x y) -1/2) -1) y) (/ (neg y) (+ (* 1/8 (pow (* y x) 3)) 1)) (- (* 1/4 (* y x)) 1/2) (+ (* (/ (neg y) (+ (* 1/8 (pow (* y x) 3)) 1)) (+ (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1)) x) (neg y) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1)) (pow (* y x) 3) (+ (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1))
3.0ms
x
@inf
((/ (* (+ (* (* x y) -1/2) -1) y) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1))) (neg (+ (* 1/2 (* y x)) 1)) (- x (/ (* (+ (* (* x y) -1/2) -1) y) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1)))) (* (+ (* (* x y) -1/2) -1) y) (/ (neg y) (+ (* 1/8 (pow (* y x) 3)) 1)) (- (* 1/4 (* y x)) 1/2) (+ (* (/ (neg y) (+ (* 1/8 (pow (* y x) 3)) 1)) (+ (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1)) x) (neg y) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1)) (pow (* y x) 3) (+ (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1))
3.0ms
x
@-inf
((/ (* (+ (* (* x y) -1/2) -1) y) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1))) (neg (+ (* 1/2 (* y x)) 1)) (- x (/ (* (+ (* (* x y) -1/2) -1) y) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1)))) (* (+ (* (* x y) -1/2) -1) y) (/ (neg y) (+ (* 1/8 (pow (* y x) 3)) 1)) (- (* 1/4 (* y x)) 1/2) (+ (* (/ (neg y) (+ (* 1/8 (pow (* y x) 3)) 1)) (+ (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1)) x) (neg y) (* (neg (+ (* 1/2 (* y x)) 1)) (+ (* 1/2 (* y x)) 1)) (pow (* y x) 3) (+ (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1))

simplify201.0ms (3.2%)

Memory
21.8MiB live, 299.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05261825
117221740
255281713
087981623
Stop Event
iter limit
node limit
Counts
104 → 102
Calls
Call 1
Inputs
y
(+ y (* -1 (* x (- (* -1/2 (pow y 2)) (* -1 (pow y 2))))))
(+ y (* x (+ (* -1 (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))) (* x (+ (* -1/4 (pow y 3)) (* y (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))))))))
(+ y (* x (+ (* -1 (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))) (* x (+ (* -1/4 (pow y 3)) (+ (* x (+ (* -1 (* y (+ (* -1/4 (pow y 3)) (* y (- (* -1/2 (pow y 2)) (* -1 (pow y 2))))))) (* 1/4 (* (pow y 2) (- (* -1/2 (pow y 2)) (* -1 (pow y 2))))))) (* y (- (* -1/2 (pow y 2)) (* -1 (pow y 2))))))))))
-1
(- (* -1/2 (* x y)) 1)
(* -1 y)
(- (* x (- 1 (* -1 (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))))) y)
(- (* x (- (+ 1 (* -1 (* x (+ (* -1/4 (pow y 3)) (* y (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))))))) (* -1 (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))))) y)
(- (* x (- (+ 1 (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1/4 (pow y 3)) (* y (- (* -1/2 (pow y 2)) (* -1 (pow y 2))))))) (* 1/4 (* (pow y 2) (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))))))) (+ (* -1/4 (pow y 3)) (* y (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))))))) (* -1 (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))))) y)
(+ (* -1 y) (* -1/2 (* x (pow y 2))))
(+ (* -1 y) (* 1/8 (* (pow x 3) (pow y 4))))
(+ (* -1 y) (* (pow x 3) (+ (* -1/64 (* (pow x 3) (pow y 7))) (* 1/8 (pow y 4)))))
(+ (* -1 y) (* (pow x 3) (+ (* 1/8 (pow y 4)) (* (pow x 3) (+ (* -1/64 (pow y 7)) (* 1/512 (* (pow x 3) (pow y 10))))))))
-1/2
(- (* 1/4 (* x y)) 1/2)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))))
(+ (* -1 y) (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))))
(- (* -1 (* x y)) 1)
(- (* x (+ (* -1 y) (* -1/4 (* x (pow y 2))))) 1)
(* (pow x 3) (pow y 3))
1
(+ 1 (* -1/2 (* x y)))
(+ 1 (* x (+ (* -1/2 y) (* 1/4 (* x (pow y 2))))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* -1/2 (* x y))
(* -1 (* x (+ (* 1/2 y) (/ 1 x))))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(* -1/2 (* x (pow y 2)))
(* x (+ (* -1 (/ y x)) (* -1/2 (pow y 2))))
(/ -8 (* (pow x 3) (pow y 2)))
(/ (- (* 64 (/ 1 (* (pow x 3) (pow y 5)))) (* 8 (/ 1 (pow y 2)))) (pow x 3))
(/ (- (/ 64 (* (pow x 3) (pow y 5))) (+ (* 8 (/ 1 (pow y 2))) (/ 512 (* (pow x 6) (pow y 8))))) (pow x 3))
(/ (- (+ (* 4096 (/ 1 (* (pow x 9) (pow y 11)))) (/ 64 (* (pow x 3) (pow y 5)))) (+ (* 512 (/ 1 (* (pow x 6) (pow y 8)))) (* 8 (/ 1 (pow y 2))))) (pow x 3))
(* 1/4 (* x y))
(* x (- (* 1/4 y) (* 1/2 (/ 1 x))))
(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ y x)) (* -1/4 (pow y 2))))
(* (pow x 2) (- (+ (* -1 (/ y x)) (* -1/4 (pow y 2))) (/ 1 (pow x 2))))
(* 1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/2 (/ y x)) (* 1/4 (pow y 2))))
(* (pow x 2) (+ (* -1/2 (/ y x)) (+ (* 1/4 (pow y 2)) (/ 1 (pow x 2)))))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (- (/ 1 x) (* -1/2 y))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (* x (+ (* 1/2 (pow y 2)) (/ y x))))
(* -1 (/ (- (* 8 (/ 1 (pow y 2))) (* 64 (/ 1 (* (pow x 3) (pow y 5))))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* 64 (/ 1 (pow y 5))) (* 512 (/ 1 (* (pow x 3) (pow y 8))))) (pow x 3))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 512 (/ 1 (pow y 8))) (* 4096 (/ 1 (* (pow x 3) (pow y 11))))) (pow x 3))) (* 64 (/ 1 (pow y 5)))) (pow x 3))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(* -1 (* x (+ (* -1/4 y) (* 1/2 (/ 1 x)))))
(* (pow x 2) (+ (* -1 (/ (+ y (/ 1 x)) x)) (* -1/4 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (- (* 1/2 y) (/ 1 x)) x)) (* 1/4 (pow y 2))))
(* y (+ 1 (* -1 (* y (- (* -1/2 x) (* -1 x))))))
(* y (+ 1 (* y (+ (* -1 (- (* -1/2 x) (* -1 x))) (* y (+ (* -1/4 (pow x 2)) (* x (- (* -1/2 x) (* -1 x)))))))))
(* y (+ 1 (* y (+ (* -1 (- (* -1/2 x) (* -1 x))) (* y (+ (* -1/4 (pow x 2)) (+ (* x (- (* -1/2 x) (* -1 x))) (* y (+ (* -1 (* x (+ (* -1/4 (pow x 2)) (* x (- (* -1/2 x) (* -1 x)))))) (* 1/4 (* (pow x 2) (- (* -1/2 x) (* -1 x)))))))))))))
(+ x (* -1 y))
(+ x (* y (- (* y (- (* -1/2 x) (* -1 x))) 1)))
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1/4 (pow x 2)) (* x (- (* -1/2 x) (* -1 x)))))) (* -1 (- (* -1/2 x) (* -1 x))))) 1)))
(* y (- (* -1/2 (* x y)) 1))
(* y (- (* 1/8 (* (pow x 3) (pow y 3))) 1))
(* y (- (* (pow y 3) (+ (* -1/64 (* (pow x 6) (pow y 3))) (* 1/8 (pow x 3)))) 1))
(* y (- (* (pow y 3) (+ (* 1/8 (pow x 3)) (* (pow y 3) (+ (* -1/64 (pow x 6)) (* 1/512 (* (pow x 9) (pow y 3))))))) 1))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- (* y (+ (* -1 x) (* -1/4 (* (pow x 2) y)))) 1)
(+ 1 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y)))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* -1 (* y (+ (* 1/2 x) (/ 1 y))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(* (pow y 2) (- (* -1/2 x) (/ 1 y)))
(/ (- (* 64 (/ 1 (* (pow x 6) (pow y 3)))) (* 8 (/ 1 (pow x 3)))) (pow y 2))
(/ (- (/ 64 (* (pow x 6) (pow y 3))) (+ (* 8 (/ 1 (pow x 3))) (/ 512 (* (pow x 9) (pow y 6))))) (pow y 2))
(/ (- (+ (* 4096 (/ 1 (* (pow x 12) (pow y 9)))) (/ 64 (* (pow x 6) (pow y 3)))) (+ (* 512 (/ 1 (* (pow x 9) (pow y 6)))) (* 8 (/ 1 (pow x 3))))) (pow y 2))
(* y (- (* 1/4 x) (* 1/2 (/ 1 y))))
(* (pow y 2) (+ (* -1 (/ x y)) (* -1/4 (pow x 2))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (* -1/4 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/4 (pow x 2))))
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* 1/4 (pow x 2)) (/ 1 (pow y 2)))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (* y (- (/ 1 y) (* -1/2 x))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(/ (- (* -1 (/ (- (* 512 (/ 1 (* (pow x 9) (pow y 3)))) (* 64 (/ 1 (pow x 6)))) (pow y 3))) (* 8 (/ 1 (pow x 3)))) (pow y 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 4096 (/ 1 (* (pow x 12) (pow y 3)))) (* 512 (/ 1 (pow x 9)))) (pow y 3))) (* 64 (/ 1 (pow x 6)))) (pow y 3))) (* 8 (/ 1 (pow x 3)))) (pow y 2))
(* -1 (* y (+ (* -1/4 x) (* 1/2 (/ 1 y)))))
(* (pow y 2) (+ (* -1 (/ (+ x (/ 1 y)) y)) (* -1/4 (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (- (* 1/2 x) (/ 1 y)) y)) (* 1/4 (pow x 2))))
Outputs
y
(+ y (* -1 (* x (- (* -1/2 (pow y 2)) (* -1 (pow y 2))))))
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x y)
(+ y (* x (+ (* -1 (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))) (* x (+ (* -1/4 (pow y 3)) (* y (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x y)
(+ y (* x (+ (* -1 (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))) (* x (+ (* -1/4 (pow y 3)) (+ (* x (+ (* -1 (* y (+ (* -1/4 (pow y 3)) (* y (- (* -1/2 (pow y 2)) (* -1 (pow y 2))))))) (* 1/4 (* (pow y 2) (- (* -1/2 (pow y 2)) (* -1 (pow y 2))))))) (* y (- (* -1/2 (pow y 2)) (* -1 (pow y 2))))))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 4 binary64)))))) x (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)))) x (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x y)
-1
#s(literal -1 binary64)
(- (* -1/2 (* x y)) 1)
(fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))
(* -1 y)
(neg.f64 y)
(- (* x (- 1 (* -1 (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))))) y)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) y x)
(- (* x (- (+ 1 (* -1 (* x (+ (* -1/4 (pow y 3)) (* y (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))))))) (* -1 (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))))) y)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x))) x (neg.f64 y))
(- (* x (- (+ 1 (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1/4 (pow y 3)) (* y (- (* -1/2 (pow y 2)) (* -1 (pow y 2))))))) (* 1/4 (* (pow y 2) (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))))))) (+ (* -1/4 (pow y 3)) (* y (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))))))) (* -1 (- (* -1/2 (pow y 2)) (* -1 (pow y 2)))))) y)
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 4 binary64)))))) x (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))))) x (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x (neg.f64 y))
(+ (* -1 y) (* -1/2 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)
(+ (* -1 y) (* 1/8 (* (pow x 3) (pow y 4))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 4 binary64)) (neg.f64 y))
(+ (* -1 y) (* (pow x 3) (+ (* -1/64 (* (pow x 3) (pow y 7))) (* 1/8 (pow y 4)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 7 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3 binary64)) (neg.f64 y))
(+ (* -1 y) (* (pow x 3) (+ (* 1/8 (pow y 4)) (* (pow x 3) (+ (* -1/64 (pow y 7)) (* 1/512 (* (pow x 3) (pow y 10))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 y #s(literal 10 binary64))) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal -1/64 binary64))) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3 binary64)) (neg.f64 y))
-1/2
#s(literal -1/2 binary64)
(- (* 1/4 (* x y)) 1/2)
(fma.f64 (*.f64 y x) #s(literal 1/4 binary64) #s(literal -1/2 binary64))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) y x)
(+ (* -1 y) (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))))
(-.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x x) y)
(+ (* -1 y) (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x (neg.f64 y))
(- (* -1 (* x y)) 1)
(fma.f64 (neg.f64 y) x #s(literal -1 binary64))
(- (* x (+ (* -1 y) (* -1/4 (* x (pow y 2))))) 1)
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/4 binary64) (neg.f64 x)) y #s(literal -1 binary64))
(* (pow x 3) (pow y 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* x y)))
(fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1/2 y) (* 1/4 (* x (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) x)
(* -1/2 (* x y))
(*.f64 (*.f64 y x) #s(literal -1/2 binary64))
(* -1 (* x (+ (* 1/2 y) (/ 1 x))))
(fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
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rewrite343.0ms (5.4%)

Memory
-20.2MiB live, 216.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026139
048139
1214122
21935122
09157117
Stop Event
iter limit
node limit
iter limit
Counts
11 → 542
Calls
Call 1
Inputs
(/.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(-.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)
(/.f64 (neg.f64 y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(neg.f64 y)
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 y (pow.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 y #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 y (neg.f64 (pow.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 y (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 (/.f64 y (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y (neg.f64 (pow.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))
(*.f64 (/.f64 (neg.f64 y) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 y) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (neg.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) #s(literal -1 binary64)))
(*.f64 (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 y (pow.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 y (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 y) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 (neg.f64 y) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 y (neg.f64 (pow.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))) (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (*.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) y))
(*.f64 (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))
(*.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (neg.f64 (pow.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))
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eval98.0ms (1.6%)

Memory
19.9MiB live, 139.6MiB allocated
Compiler

Compiled 23 607 to 2 455 computations (89.6% saved)

prune40.0ms (0.6%)

Memory
-1.9MiB live, 36.7MiB allocated
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New6262628
Fresh000
Picked202
Done088
Total62810638
Accuracy
100.0%
Counts
638 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.1%
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) (*.f64 y x) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) x)
99.7%
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y x)
66.1%
(fma.f64 #s(approx (pow (+ (* -1/2 (* y x)) -1) -1) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y x)
75.1%
(-.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
99.7%
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
99.7%
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
62.6%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)))
58.4%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
75.5%
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
29.2%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
Compiler

Compiled 487 to 222 computations (54.4% saved)

regimes43.0ms (0.7%)

Memory
-21.1MiB live, 23.8MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
(fma.f64 #s(approx (pow (+ (* -1/2 (* y x)) -1) -1) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y x)
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)))
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y x)
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
(-.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(-.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))
(-.f64 x (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (neg.f64 y))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) y x)
(-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) (*.f64 y x) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
Outputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
Calls

3 calls:

32.0ms
x
5.0ms
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
5.0ms
y
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes8.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
(fma.f64 #s(approx (pow (+ (* -1/2 (* y x)) -1) -1) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y x)
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)))
Outputs
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
Calls

3 calls:

3.0ms
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
88.2%3x
92.6%3y
87.1%3(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
Calls

3 calls:

2.0ms
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
75.5%1(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
75.5%1x
75.5%1y
Compiler

Compiled 13 to 13 computations (0% saved)

regimes7.0ms (0.1%)

Memory
-24.8MiB live, 10.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
Calls

3 calls:

1.0ms
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
29.2%1(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
29.2%1y
29.2%1x
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch28.0ms (0.4%)

Memory
16.9MiB live, 54.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.2607541604424677e+160
2.361744213450258e+162
13.0ms
-1.0122876103165452e+127
-4.188218743141027e+120
Samples
15.0ms256×0valid
Compiler

Compiled 494 to 414 computations (16.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 5.0ms (50.4% of total)
ival-mult: 2.0ms (20.2% of total)
ival-sub: 1.0ms (10.1% of total)
ival-add: 1.0ms (10.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify107.0ms (1.7%)

Memory
7.2MiB live, 43.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02778
14778
26878
39478
414678
524678
665478
7385978
8701878
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -18999999999999999906753225599248761403059910577804029445154941570819816345119750707196358774730457364093064567206174523392 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 48000000000000002810762412016068659833869666149187126767432967950475377220948837184347011103759057868163326307692020696791545461838307262068066376952731995734016 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
Outputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -18999999999999999906753225599248761403059910577804029445154941570819816345119750707196358774730457364093064567206174523392 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 48000000000000002810762412016068659833869666149187126767432967950475377220948837184347011103759057868163326307692020696791545461838307262068066376952731995734016 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (or (<=.f64 y #s(literal -18999999999999999906753225599248761403059910577804029445154941570819816345119750707196358774730457364093064567206174523392 binary64)) (not (<=.f64 y #s(literal 48000000000000002810762412016068659833869666149187126767432967950475377220948837184347011103759057868163326307692020696791545461838307262068066376952731995734016 binary64)))) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

soundness400.0ms (6.3%)

Memory
4.5MiB live, 327.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0231702
1738677
21999654
36194648
08591614
0935
01435
16335
250035
3690235
0855632
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 112 to 58 computations (48.2% saved)

preprocess201.0ms (3.2%)

Memory
-23.2MiB live, 57.3MiB allocated
Compiler

Compiled 178 to 78 computations (56.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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