Diagrams.TwoD.Arc:arcBetween from diagrams-lib-1.3.0.3

Time bar (total: 7.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory
4.6MiB live, 4.6MiB 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
75%74.9%25%0.1%0%0%0%3
87.5%87.4%12.5%0.1%0%0%0%4
93.8%93.7%6.2%0.1%0%0%0%5
96.9%96.8%3.1%0.1%0%0%0%6
98.4%98.3%1.6%0.1%0%0%0%7
99.2%99.1%0.8%0.1%0%0%0%8
99.6%99.5%0.4%0.1%0%0%0%9
99.8%99.7%0.2%0.1%0%0%0%10
99.9%99.8%0.1%0.1%0%0%0%11
100%99.9%0%0.1%0%0%0%12
Compiler

Compiled 21 to 11 computations (47.6% saved)

sample1.0s (13.9%)

Memory
20.9MiB live, 1 123.3MiB allocated
Samples
687.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 336.0ms
ival-mult: 189.0ms (56.3% of total)
ival-div: 56.0ms (16.7% of total)
ival-sub: 41.0ms (12.2% of total)
ival-add: 36.0ms (10.7% of total)
ival-true: 6.0ms (1.8% of total)
exact: 5.0ms (1.5% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain288.0ms (3.9%)

Memory
-2.5MiB live, 308.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1230-1(-6.9295500807744195e-168 -1.4284566396642344e-161)(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
120-0-(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
00-0-(*.f64 (*.f64 y #s(literal 4 binary64)) y)
00-0-(*.f64 y #s(literal 4 binary64))
00-0-#s(literal 4 binary64)
00-0-(*.f64 x x)
00-0-(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
00-0-y
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))o/o1040
(*.f64 (*.f64 y #s(literal 4 binary64)) y)overflow67
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))overflow104
(*.f64 x x)overflow49
(*.f64 (*.f64 y #s(literal 4 binary64)) y)overflow67
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))overflow104
(*.f64 x x)overflow49
/.f64(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))u/u180
(*.f64 (*.f64 y #s(literal 4 binary64)) y)underflow59
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))underflow18
(*.f64 x x)underflow66
(*.f64 (*.f64 y #s(literal 4 binary64)) y)underflow59
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))underflow18
(*.f64 x x)underflow66
-.f64(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))nan-rescue120
(*.f64 x x)overflow49
(*.f64 (*.f64 y #s(literal 4 binary64)) y)overflow67
Confusion
Predicted +Predicted -
+1221
-0133
Precision
1.0
Recall
0.991869918699187
Confusion?
Predicted +Predicted MaybePredicted -
+12201
-00133
Precision?
1.0
Recall?
0.991869918699187
Freqs
test
numberfreq
0134
1110
212
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
52.0ms512×0valid
Compiler

Compiled 227 to 66 computations (70.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 10.0ms (55.1% of total)
ival-div: 3.0ms (16.5% of total)
ival-sub: 2.0ms (11% of total)
ival-add: 2.0ms (11% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess207.0ms (2.8%)

Memory
-0.4MiB live, 83.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02597
18997
224095
362095
4174395
5272195
6296295
7298195
8299695
9300195
10300195
11330195
12343795
13343795
14358195
15441795
16441795
0919
01519
12719
25619
311219
421519
534419
651119
772419
8119119
9221119
10226019
11229819
12232619
13232619
0232617
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
Outputs
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x x)))
Symmetry

(abs y)

(abs x)

Compiler

Compiled 19 to 9 computations (52.6% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.3%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
Compiler

Compiled 19 to 9 computations (52.6% saved)

simplify63.0ms (0.9%)

Memory
19.4MiB live, 55.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
cost-diff128
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
cost-diff128
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0951
01551
12751
25651
311251
421551
534451
651151
772451
8119151
9221151
10226051
11229851
12232651
13232651
0232647
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) y)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
Outputs
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x x)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) y)
(*.f64 y (*.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x x))

localize28.0ms (0.4%)

Memory
13.6MiB live, 50.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.0078125
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy2.746079300811441
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy30.03119485574849
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
Samples
21.0ms256×0valid
Compiler

Compiled 104 to 20 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (57.4% of total)
ival-div: 2.0ms (23% of total)
ival-sub: 1.0ms (11.5% of total)
ival-add: 1.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-22.6MiB live, 14.1MiB allocated
Counts
4 → 24
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
(*.f64 x x)
Outputs
(* -4 (pow y 2))
(- (pow x 2) (* 4 (pow y 2)))
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(+ (* -4 (pow y 2)) (pow x 2))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@0
((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x))
1.0ms
x
@inf
((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x))
1.0ms
y
@inf
((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x))
1.0ms
y
@-inf
((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x))
1.0ms
y
@0
((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x))

simplify203.0ms (2.8%)

Memory
1.5MiB live, 312.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115420
1319384
2960338
34078334
08269304
Stop Event
iter limit
node limit
Counts
24 → 24
Calls
Call 1
Inputs
(* -4 (pow y 2))
(- (pow x 2) (* 4 (pow y 2)))
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(+ (* -4 (pow y 2)) (pow x 2))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
Outputs
(* -4 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -4 binary64))
(- (pow x 2) (* 4 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))
(* 4 (pow y 2))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 #s(literal -8 binary64) (*.f64 y y)) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(+.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 binary64))))

rewrite181.0ms (2.5%)

Memory
7.7MiB live, 278.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0940
01540
15440
239740
3632340
0848836
Stop Event
iter limit
node limit
iter limit
Counts
4 → 602
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
(*.f64 x x)
Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (-.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)))) (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))))
(*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)))
(*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 9 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))))
(/.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))))))
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(+.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y y))))
(+.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))))
(+.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval161.0ms (2.2%)

Memory
-13.3MiB live, 208.8MiB allocated
Compiler

Compiled 24 545 to 1 557 computations (93.7% saved)

prune17.0ms (0.2%)

Memory
1.4MiB live, 53.2MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New6207627
Fresh000
Picked101
Done000
Total6217628
Accuracy
99.8%
Counts
628 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.0%
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
36.6%
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) x) x) (*.f64 (*.f64 #s(literal 4 binary64) y) y))) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) x) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
52.3%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y)))
51.4%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
49.1%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
47.3%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
52.9%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Compiler

Compiled 372 to 174 computations (53.2% saved)

simplify302.0ms (4.1%)

Memory
4.9MiB live, 77.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
cost-diff0
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
cost-diff0
(/.f64 (*.f64 x x) y)
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff0
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
cost-diff0
(/.f64 y x)
cost-diff0
(*.f64 #s(literal -8 binary64) (/.f64 y x))
cost-diff0
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030197
047193
185189
2143189
3236189
4369189
5522189
6703189
71058189
82425189
94175189
104758189
114906189
124950189
134966189
144970189
155236189
165352189
175352189
185522189
195686189
205796189
215803189
225959189
236198189
246230189
256230189
06230189
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal -8 binary64) (/.f64 y x))
#s(literal -8 binary64)
(/.f64 y x)
y
x
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
#s(literal -1 binary64)
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
#s(literal -4 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal -8 binary64) (/.f64 y x))
(*.f64 (/.f64 y x) #s(literal -8 binary64))
#s(literal -8 binary64)
(/.f64 y x)
y
x
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
#s(literal -1 binary64)
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))
#s(literal -4 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)

localize133.0ms (1.8%)

Memory
0.4MiB live, 121.6MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal 4 binary64) y)
accuracy0.0078125
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
accuracy2.749985550811441
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
accuracy30.03119485574849
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
accuracy0
(*.f64 x x)
accuracy1.9149105697232507
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
accuracy8.248767336923667
(/.f64 (*.f64 x x) y)
accuracy29.00809133747202
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
accuracy0
(/.f64 y x)
accuracy0.00390625
(*.f64 #s(literal -8 binary64) (/.f64 y x))
accuracy0.11328125
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
accuracy32.58167133856089
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
accuracy33.75666180417387
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
accuracy30.117029027068945
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Samples
99.0ms256×0valid
Compiler

Compiled 376 to 62 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-div: 42.0ms (50% of total)
ival-add: 26.0ms (30.9% of total)
ival-mult: 14.0ms (16.7% of total)
ival-sub: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series50.0ms (0.7%)

Memory
-4.8MiB live, 30.8MiB allocated
Counts
16 → 35
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal -8 binary64) (/.f64 y x))
(/.f64 y x)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (*.f64 x x) y)
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
(*.f64 y y)
(*.f64 x x)
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 4 binary64) y)
Outputs
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(* -8 (/ y x))
(/ y x)
(/ (pow x 2) y)
(* -4 (pow y 2))
(+ (* -4 (pow y 2)) (pow x 2))
(pow x 2)
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(/ 1/2 y)
(pow y 2)
(* 4 y)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
Calls

6 calls:

TimeVariablePointExpression
36.0ms
y
@0
((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y))
3.0ms
y
@inf
((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y))
3.0ms
y
@-inf
((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y))
2.0ms
x
@0
((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y))
2.0ms
x
@inf
((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y))

simplify331.0ms (4.5%)

Memory
16.3MiB live, 204.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0130503
1351477
21045425
34360407
08539374
Stop Event
iter limit
node limit
Counts
35 → 35
Calls
Call 1
Inputs
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(* -8 (/ y x))
(/ y x)
(/ (pow x 2) y)
(* -4 (pow y 2))
(+ (* -4 (pow y 2)) (pow x 2))
(pow x 2)
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(/ 1/2 y)
(pow y 2)
(* 4 y)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
Outputs
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
(* -8 (/ (pow y 2) (pow x 2)))
(*.f64 (*.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y)
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(* -8 (/ y x))
(*.f64 (/.f64 y x) #s(literal -8 binary64))
(/ y x)
(/.f64 y x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* -4 (pow y 2))
(*.f64 #s(literal -4 binary64) (*.f64 y y))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* 4 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 4 binary64))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(* 1/2 (/ (pow x 2) (pow y 2)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(pow y 2)
(*.f64 y y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(+.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 binary64))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))

rewrite212.0ms (2.9%)

Memory
-17.5MiB live, 303.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030180
047176
1191170
21419168
08444164
Stop Event
iter limit
node limit
iter limit
Counts
16 → 642
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal -8 binary64) (/.f64 y x))
(/.f64 y x)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (*.f64 x x) y)
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
(*.f64 y y)
(*.f64 x x)
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 4 binary64) y)
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64))))))
(*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64))))))
(*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64)))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) x) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) #s(literal 1 binary64)) (/.f64 (/.f64 y x) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (neg.f64 x)) (/.f64 (neg.f64 y) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 #s(literal -8 binary64) y) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (pow.f64 y #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (/.f64 y x) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -8 binary64) y) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
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(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 x (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 x (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 x (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 y y) #s(literal -4 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 x (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 x) x))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (*.f64 x x) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 x) x))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 x (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 y y) #s(literal -4 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 x (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 x (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 #s(literal 4 binary64) y) y))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 y y) #s(literal -4 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (*.f64 x x) (pow.f64 (+.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 x) x)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 #s(literal 4 binary64) y) y))
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 y (*.f64 #s(literal 4 binary64) y) (*.f64 x x))
(fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 x) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 x) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 x) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x))))
(+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 x) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 4 binary64) y) y))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))

eval87.0ms (1.2%)

Memory
22.8MiB live, 261.1MiB allocated
Compiler

Compiled 27 235 to 2 172 computations (92% saved)

prune14.0ms (0.2%)

Memory
12.8MiB live, 51.8MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New7024706
Fresh202
Picked145
Done000
Total7058713
Accuracy
100.0%
Counts
713 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.0%
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
52.0%
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y)))
54.7%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
44.8%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
49.1%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
54.7%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
47.3%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
52.9%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Compiler

Compiled 200 to 110 computations (45% saved)

simplify265.0ms (3.6%)

Memory
-45.5MiB live, 129.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
cost-diff0
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y)))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
cost-diff0
(*.f64 #s(literal -8 binary64) y)
cost-diff0
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff320
(*.f64 y #s(literal 1 binary64))
cost-diff0
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037246
061225
1114222
2245222
3504222
4783222
51192222
61581222
72037222
83213222
94661222
105025222
115099222
125135222
135153222
145155222
155524222
165633222
175633222
185633222
195643222
205643222
215643222
05643222
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
x
y
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x))
(*.f64 #s(literal -8 binary64) y)
#s(literal -8 binary64)
y
(*.f64 x x)
x
(*.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(/.f64 x y)
#s(literal -1 binary64)
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y)))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
#s(literal -4 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
(fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y))
(*.f64 (*.f64 #s(literal 4 binary64) y) y)
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
x
y
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 #s(literal -8 binary64) x) x) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal -8 binary64) x) x) (*.f64 y y) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x))
(*.f64 (/.f64 (/.f64 #s(literal -8 binary64) x) x) y)
(*.f64 #s(literal -8 binary64) y)
#s(literal -8 binary64)
y
(*.f64 x x)
x
(*.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(/.f64 x y)
#s(literal -1 binary64)
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y)))
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))
#s(literal -4 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
(fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y))
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
(*.f64 (*.f64 #s(literal 4 binary64) y) y)
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)

localize99.0ms (1.4%)

Memory
33.5MiB live, 115.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0
(*.f64 #s(literal 4 binary64) y)
accuracy2.749985550811441
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
accuracy30.03119485574849
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y)))
accuracy0
(/.f64 x y)
accuracy0
(*.f64 #s(literal 1/2 binary64) x)
accuracy0.14910126953688405
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))
accuracy29.00809133747202
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
accuracy0
(*.f64 #s(literal -8 binary64) y)
accuracy1.2451818557439747
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy8.186510110886921
(/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x))
accuracy32.58167133856089
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy0.09765625
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))))
accuracy0.2109509831731476
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
accuracy0.262382519536884
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
accuracy29.00809133747202
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
Samples
77.0ms256×0valid
Compiler

Compiled 466 to 77 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 34.0ms (56.9% of total)
ival-div: 15.0ms (25.1% of total)
ival-add: 6.0ms (10% of total)
ival-pow2: 3.0ms (5% of total)
ival-sub: 1.0ms (1.7% of total)
exact: 1.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series52.0ms (0.7%)

Memory
-4.5MiB live, 31.1MiB allocated
Counts
20 → 46
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 y #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -8 binary64) y)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 x y)
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y)))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
(*.f64 y y)
(*.f64 x x)
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) y)
Outputs
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* -1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (- (* -1/4 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/8 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(* 1/2 (/ x y))
(* 1/2 x)
(/ x y)
(* -4 (pow y 2))
(+ (* -4 (pow y 2)) (pow x 2))
(pow x 2)
(/ (pow x 2) (pow y 2))
(* -8 (/ y (pow x 2)))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(* 2 (/ (pow y 2) (pow x 2)))
(/ (+ (* 2 (pow y 2)) (* 4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* 2 (pow y 2)) (* 8 (/ (pow y 6) (pow x 4)))) (* -4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* 2 (pow y 2)) (* 16 (/ (pow y 8) (pow x 6)))) (+ (* -8 (/ (pow y 6) (pow x 4))) (* -4 (/ (pow y 4) (pow x 2))))) (pow x 2))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(* (pow y 2) (+ (* 4 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* (pow y 2) (+ (* 8 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 16 (/ (pow y 2) (pow x 8))) (* 8 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
y
(* -8 y)
(pow y 2)
(* 4 y)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(- (* -1/4 (/ (pow x 4) (pow y 4))) (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))
(- (* -1/8 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* 1/4 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
Calls

6 calls:

TimeVariablePointExpression
33.0ms
x
@0
((/ 1 (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (+ (* (pow (/ x y) 2) 1/2) -1) (* y 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) (* y 1)) 1) (* -8 y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* 1/2 x) y) (* 1/2 x) (/ x y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* x x) (* (* 4 y) y))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (pow (/ x y) 2) (/ (* -8 y) (* x x)) (+ (* (/ (* 1/2 x) y) (/ x y)) -1) (* 4 y))
5.0ms
x
@-inf
((/ 1 (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (+ (* (pow (/ x y) 2) 1/2) -1) (* y 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) (* y 1)) 1) (* -8 y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* 1/2 x) y) (* 1/2 x) (/ x y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* x x) (* (* 4 y) y))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (pow (/ x y) 2) (/ (* -8 y) (* x x)) (+ (* (/ (* 1/2 x) y) (/ x y)) -1) (* 4 y))
3.0ms
y
@inf
((/ 1 (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (+ (* (pow (/ x y) 2) 1/2) -1) (* y 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) (* y 1)) 1) (* -8 y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* 1/2 x) y) (* 1/2 x) (/ x y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* x x) (* (* 4 y) y))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (pow (/ x y) 2) (/ (* -8 y) (* x x)) (+ (* (/ (* 1/2 x) y) (/ x y)) -1) (* 4 y))
3.0ms
y
@-inf
((/ 1 (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (+ (* (pow (/ x y) 2) 1/2) -1) (* y 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) (* y 1)) 1) (* -8 y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* 1/2 x) y) (* 1/2 x) (/ x y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* x x) (* (* 4 y) y))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (pow (/ x y) 2) (/ (* -8 y) (* x x)) (+ (* (/ (* 1/2 x) y) (/ x y)) -1) (* 4 y))
3.0ms
x
@inf
((/ 1 (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (+ (* (pow (/ x y) 2) 1/2) -1) (* y 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) (* y 1)) 1) (* -8 y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* 1/2 x) y) (* 1/2 x) (/ x y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* x x) (* (* 4 y) y))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (pow (/ x y) 2) (/ (* -8 y) (* x x)) (+ (* (/ (* 1/2 x) y) (/ x y)) -1) (* 4 y))

simplify190.0ms (2.6%)

Memory
-13.0MiB live, 179.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0192766
1550740
21651704
36178692
08346640
Stop Event
iter limit
node limit
Counts
46 → 45
Calls
Call 1
Inputs
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* -1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (- (* -1/4 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/8 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(* 1/2 (/ x y))
(* 1/2 x)
(/ x y)
(* -4 (pow y 2))
(+ (* -4 (pow y 2)) (pow x 2))
(pow x 2)
(/ (pow x 2) (pow y 2))
(* -8 (/ y (pow x 2)))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(* 2 (/ (pow y 2) (pow x 2)))
(/ (+ (* 2 (pow y 2)) (* 4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* 2 (pow y 2)) (* 8 (/ (pow y 6) (pow x 4)))) (* -4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* 2 (pow y 2)) (* 16 (/ (pow y 8) (pow x 6)))) (+ (* -8 (/ (pow y 6) (pow x 4))) (* -4 (/ (pow y 4) (pow x 2))))) (pow x 2))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(* (pow y 2) (+ (* 4 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* (pow y 2) (+ (* 8 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 16 (/ (pow y 2) (pow x 8))) (* 8 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
y
(* -8 y)
(pow y 2)
(* 4 y)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(- (* -1/4 (/ (pow x 4) (pow y 4))) (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))
(- (* -1/8 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* 1/4 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
Outputs
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 x y) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 x y) #s(literal -1 binary64)))
(- (* -1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -1/4 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 x y) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/8 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))
(* -8 (/ (pow y 2) (pow x 2)))
(*.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal -8 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(/ x y)
(/.f64 x y)
(* -4 (pow y 2))
(*.f64 #s(literal -4 binary64) (*.f64 y y))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(* -8 (/ y (pow x 2)))
(*.f64 (/.f64 y (*.f64 x x)) #s(literal -8 binary64))
(* 1/2 (/ (pow x 2) (pow y 2)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x)
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 x y) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 32 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -128 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -8 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1 binary64))))
(* 2 (/ (pow y 2) (pow x 2)))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 y x))
(/ (+ (* 2 (pow y 2)) (* 4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 y y))
(/ (- (+ (* 2 (pow y 2)) (* 8 (/ (pow y 6) (pow x 4)))) (* -4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) x) x) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 x x))
(/ (- (+ (* 2 (pow y 2)) (* 16 (/ (pow y 8) (pow x 6)))) (+ (* -8 (/ (pow y 6) (pow x 4))) (* -4 (/ (pow y 4) (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) x) x) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))))))) (*.f64 x x))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 x y) #s(literal -1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (+ (* 4 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 y y))
(* (pow y 2) (+ (* (pow y 2) (+ (* 8 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) y) y (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 y y))
(* (pow y 2) (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 16 (/ (pow y 2) (pow x 8))) (* 8 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 16 binary64) y) (/.f64 y (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 y y) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 y y))
y
(* -8 y)
(*.f64 #s(literal -8 binary64) y)
(pow y 2)
(*.f64 y y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 x y) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(+.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 binary64))))
(- (* -1/4 (/ (pow x 4) (pow y 4))) (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 x y) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (* -1/8 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* 1/4 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 x y) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal -8 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -4 binary64)) y) y)

rewrite167.0ms (2.3%)

Memory
19.4MiB live, 216.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037209
061188
1246185
21657185
08388185
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 052
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 y #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -8 binary64) y)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 x y)
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y)))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
(*.f64 y y)
(*.f64 x x)
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) y)
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
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(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y))

eval159.0ms (2.2%)

Memory
2.6MiB live, 245.7MiB allocated
Compiler

Compiled 30 142 to 2 926 computations (90.3% saved)

prune19.0ms (0.3%)

Memory
-22.6MiB live, 52.5MiB allocated
Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New8044808
Fresh000
Picked224
Done044
Total80610816
Accuracy
100.0%
Counts
816 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.0%
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
52.0%
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y)))
51.3%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
54.7%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
44.8%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64)))
49.1%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
54.7%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
47.6%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))))
47.3%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
52.9%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Compiler

Compiled 276 to 155 computations (43.8% saved)

simplify311.0ms (4.2%)

Memory
11.9MiB live, 129.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
cost-diff320
(*.f64 x #s(literal 1 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal -8 binary64) y)
cost-diff0
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64)))
cost-diff0
(fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)))
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
cost-diff0
(/.f64 #s(literal -1/2 binary64) (*.f64 y y))
cost-diff0
#s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))))
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043328
066297
1128293
2287293
3569293
4847293
51132293
61368293
71773293
83000293
94419293
104816293
114894293
124953293
134988293
144990293
155125293
165182293
175182293
185182293
195278293
205450293
215572293
225584293
235584293
245584293
05584281
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (*.f64 y y))
#s(literal -1/2 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 x y) x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x))
(*.f64 #s(literal -8 binary64) y)
#s(literal -8 binary64)
y
(*.f64 x x)
x
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 y y)
y
(*.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal -1 binary64)
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (*.f64 y y))
#s(literal -1/2 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 x y) x) y)
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 #s(literal -8 binary64) x) x) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal -8 binary64) x) x) (*.f64 y y) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x))
(*.f64 (/.f64 (/.f64 #s(literal -8 binary64) x) x) y)
(*.f64 #s(literal -8 binary64) y)
#s(literal -8 binary64)
y
(*.f64 x x)
x
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 y y)
y
(*.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal -1 binary64)

localize110.0ms (1.5%)

Memory
29.5MiB live, 188.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal 1/2 binary64) x)
accuracy1.398721650142
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy7.185693217099618
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y))
accuracy29.00809133747202
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy0
(*.f64 #s(literal -8 binary64) y)
accuracy1.2451818557439747
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64))
accuracy8.186510110886921
(/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x))
accuracy32.58167133856089
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64)))
accuracy0.1796875
(*.f64 (/.f64 x y) x)
accuracy0.2109509831731476
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)))
accuracy2.949474912326497
(/.f64 (*.f64 (/.f64 x y) x) y)
accuracy29.00809133747202
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
accuracy0.5779306044052767
(/.f64 #s(literal -1/2 binary64) (*.f64 y y))
accuracy11.448413379237136
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))
accuracy29.00809133747202
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))))
accuracy29.829045977265068
#s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))
Samples
85.0ms256×0valid
Compiler

Compiled 578 to 87 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 23.0ms (47.4% of total)
ival-div: 15.0ms (30.9% of total)
ival-add: 6.0ms (12.4% of total)
ival-pow2: 3.0ms (6.2% of total)
ival-sub: 1.0ms (2.1% of total)
exact: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory
-8.1MiB live, 29.6MiB allocated
Counts
22 → 45
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))))
#s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 #s(literal -1/2 binary64) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64))
(*.f64 #s(literal -8 binary64) y)
(*.f64 x x)
(*.f64 x #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y y)
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 x y) x) y)
(*.f64 (/.f64 x y) x)
(/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
Outputs
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* -1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (- (* -1/4 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/8 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(pow x 2)
x
(* 1/2 x)
(/ (pow x 2) (pow y 2))
(/ (pow x 2) y)
(* -8 (/ y (pow x 2)))
(* 1/2 (/ x (pow y 2)))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* 2 (/ (pow y 2) (pow x 2)))
(/ (+ (* 2 (pow y 2)) (* 4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* 2 (pow y 2)) (* 8 (/ (pow y 6) (pow x 4)))) (* -4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* 2 (pow y 2)) (* 16 (/ (pow y 8) (pow x 6)))) (+ (* -8 (/ (pow y 6) (pow x 4))) (* -4 (/ (pow y 4) (pow x 2))))) (pow x 2))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(* -1/2 (/ (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(* (pow y 2) (+ (* 4 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* (pow y 2) (+ (* 8 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 16 (/ (pow y 2) (pow x 8))) (* 8 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(/ -1/2 (pow y 2))
(* -8 y)
(pow y 2)
(/ (+ (* -1 (pow y 2)) (* -1/2 (pow x 2))) (pow y 2))
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(- (* -1/4 (/ (pow x 4) (pow y 4))) (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))
(- (* -1/8 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* 1/4 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1))) (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (/ -1/2 (* y y)) (/ 1 (/ 1 (+ (* (/ (* (/ x y) x) y) 1/2) -1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ (* (/ (* (/ x y) x) y) 1/2) -1)) (+ (* (/ (* (/ x y) x) y) 1/2) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) y) 1) (* -8 y) (* x x) (* x 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* 1/2 x) (* y y) (+ (* (/ -1/2 (* y y)) (* x x)) -1) (/ (* (/ x y) x) y) (* (/ x y) x) (/ (* -8 y) (* x x)) (/ (* 1/2 x) (* y y)) (+ (* (/ (* 1/2 x) (* y y)) (* x 1)) -1))
3.0ms
x
@-inf
((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1))) (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (/ -1/2 (* y y)) (/ 1 (/ 1 (+ (* (/ (* (/ x y) x) y) 1/2) -1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ (* (/ (* (/ x y) x) y) 1/2) -1)) (+ (* (/ (* (/ x y) x) y) 1/2) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) y) 1) (* -8 y) (* x x) (* x 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* 1/2 x) (* y y) (+ (* (/ -1/2 (* y y)) (* x x)) -1) (/ (* (/ x y) x) y) (* (/ x y) x) (/ (* -8 y) (* x x)) (/ (* 1/2 x) (* y y)) (+ (* (/ (* 1/2 x) (* y y)) (* x 1)) -1))
2.0ms
y
@0
((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1))) (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (/ -1/2 (* y y)) (/ 1 (/ 1 (+ (* (/ (* (/ x y) x) y) 1/2) -1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ (* (/ (* (/ x y) x) y) 1/2) -1)) (+ (* (/ (* (/ x y) x) y) 1/2) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) y) 1) (* -8 y) (* x x) (* x 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* 1/2 x) (* y y) (+ (* (/ -1/2 (* y y)) (* x x)) -1) (/ (* (/ x y) x) y) (* (/ x y) x) (/ (* -8 y) (* x x)) (/ (* 1/2 x) (* y y)) (+ (* (/ (* 1/2 x) (* y y)) (* x 1)) -1))
2.0ms
y
@inf
((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1))) (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (/ -1/2 (* y y)) (/ 1 (/ 1 (+ (* (/ (* (/ x y) x) y) 1/2) -1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ (* (/ (* (/ x y) x) y) 1/2) -1)) (+ (* (/ (* (/ x y) x) y) 1/2) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) y) 1) (* -8 y) (* x x) (* x 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* 1/2 x) (* y y) (+ (* (/ -1/2 (* y y)) (* x x)) -1) (/ (* (/ x y) x) y) (* (/ x y) x) (/ (* -8 y) (* x x)) (/ (* 1/2 x) (* y y)) (+ (* (/ (* 1/2 x) (* y y)) (* x 1)) -1))
2.0ms
x
@0
((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1))) (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (/ -1/2 (* y y)) (/ 1 (/ 1 (+ (* (/ (* (/ x y) x) y) 1/2) -1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ (* (/ (* (/ x y) x) y) 1/2) -1)) (+ (* (/ (* (/ x y) x) y) 1/2) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) y) 1) (* -8 y) (* x x) (* x 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* 1/2 x) (* y y) (+ (* (/ -1/2 (* y y)) (* x x)) -1) (/ (* (/ x y) x) y) (* (/ x y) x) (/ (* -8 y) (* x x)) (/ (* 1/2 x) (* y y)) (+ (* (/ (* 1/2 x) (* y y)) (* x 1)) -1))

simplify187.0ms (2.6%)

Memory
-16.3MiB live, 152.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0195767
1553741
21690705
35714693
08170642
Stop Event
iter limit
node limit
Counts
45 → 44
Calls
Call 1
Inputs
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* -1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (- (* -1/4 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/8 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(pow x 2)
x
(* 1/2 x)
(/ (pow x 2) (pow y 2))
(/ (pow x 2) y)
(* -8 (/ y (pow x 2)))
(* 1/2 (/ x (pow y 2)))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* 2 (/ (pow y 2) (pow x 2)))
(/ (+ (* 2 (pow y 2)) (* 4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* 2 (pow y 2)) (* 8 (/ (pow y 6) (pow x 4)))) (* -4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* 2 (pow y 2)) (* 16 (/ (pow y 8) (pow x 6)))) (+ (* -8 (/ (pow y 6) (pow x 4))) (* -4 (/ (pow y 4) (pow x 2))))) (pow x 2))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(* -1/2 (/ (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(* (pow y 2) (+ (* 4 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* (pow y 2) (+ (* 8 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 16 (/ (pow y 2) (pow x 8))) (* 8 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(/ -1/2 (pow y 2))
(* -8 y)
(pow y 2)
(/ (+ (* -1 (pow y 2)) (* -1/2 (pow x 2))) (pow y 2))
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(- (* -1/4 (/ (pow x 4) (pow y 4))) (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))
(- (* -1/8 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* 1/4 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
Outputs
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 y y)) #s(literal -1 binary64)))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 y y)) #s(literal -1 binary64)))
(- (* -1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) (/.f64 x y) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -1/4 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) (/.f64 x y) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/8 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
(* -8 (/ (pow y 2) (pow x 2)))
(*.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal -8 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
x
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* -8 (/ y (pow x 2)))
(*.f64 (/.f64 y (*.f64 x x)) #s(literal -8 binary64))
(* 1/2 (/ x (pow y 2)))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 32 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -128 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -8 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1 binary64))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(* 2 (/ (pow y 2) (pow x 2)))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 y x))
(/ (+ (* 2 (pow y 2)) (* 4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 y y))
(/ (- (+ (* 2 (pow y 2)) (* 8 (/ (pow y 6) (pow x 4)))) (* -4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 #s(literal 4 binary64) x) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 x x))
(/ (- (+ (* 2 (pow y 2)) (* 16 (/ (pow y 8) (pow x 6)))) (+ (* -8 (/ (pow y 6) (pow x 4))) (* -4 (/ (pow y 4) (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 #s(literal 4 binary64) x) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))))))) (*.f64 x x))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1 binary64))
(* -1/2 (/ (pow x 2) (pow y 2)))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) (/.f64 x y))
(* -1 (* (pow x 2) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) (/.f64 x y) #s(literal -1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(* (pow y 2) (+ (* 4 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 y y))
(* (pow y 2) (+ (* (pow y 2) (+ (* 8 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) y) y (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 y y))
(* (pow y 2) (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 16 (/ (pow y 2) (pow x 8))) (* 8 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 16 binary64) y) (/.f64 y (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 y y) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 y y))
(/ -1/2 (pow y 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 y y))
(* -8 y)
(*.f64 #s(literal -8 binary64) y)
(pow y 2)
(*.f64 y y)
(/ (+ (* -1 (pow y 2)) (* -1/2 (pow x 2))) (pow y 2))
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) (/.f64 x y) #s(literal -1 binary64))
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 y y)) #s(literal -1 binary64)))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 binary64))))
(- (* -1/4 (/ (pow x 4) (pow y 4))) (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) (/.f64 x y) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (* -1/8 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* 1/4 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) (/.f64 x y) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal -8 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1 binary64))

rewrite273.0ms (3.7%)

Memory
7.4MiB live, 123.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043300
066269
1272265
21681263
08295249
Stop Event
iter limit
node limit
iter limit
Counts
22 → 821
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))))
#s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 #s(literal -1/2 binary64) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64))
(*.f64 #s(literal -8 binary64) y)
(*.f64 x x)
(*.f64 x #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y y)
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 x y) x) y)
(*.f64 (/.f64 x y) x)
(/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (pow.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))))) #s(literal -1 binary64))
(pow.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(pow.f64 (pow.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64))
(/.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64))))
(*.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) y)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(pow.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 y #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -1/2 binary64) y) y)
(/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 #s(literal -1/2 binary64) (*.f64 y y))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) y))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))))
(*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
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(fma.f64 (/.f64 x (neg.f64 y)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal -1 binary64))
(fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y)) #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 x (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))
(fma.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))
(fma.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 x y) x) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) y) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))

eval211.0ms (2.9%)

Memory
-5.4MiB live, 144.9MiB allocated
Compiler

Compiled 26 069 to 2 709 computations (89.6% saved)

prune41.0ms (0.6%)

Memory
5.9MiB live, 44.9MiB allocated
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New6542656
Fresh000
Picked224
Done066
Total65610666
Accuracy
100.0%
Counts
666 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.0%
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
52.0%
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y)))
51.3%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) x #s(literal -1 binary64)))
54.7%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
44.8%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64)))
49.1%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
53.9%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))))
47.6%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))))
47.3%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
52.9%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Compiler

Compiled 814 to 259 computations (68.2% saved)

regimes54.0ms (0.7%)

Memory
-25.6MiB live, 25.9MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) x #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y)))
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) x) x) (*.f64 (*.f64 #s(literal 4 binary64) y) y))) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) x) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
Calls

5 calls:

6.0ms
y
6.0ms
x
5.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) y)
5.0ms
(*.f64 x x)
5.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
Results
AccuracySegmentsBranch
81.1%3x
85.2%3y
80.5%2(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
81.1%3(*.f64 x x)
85.2%3(*.f64 (*.f64 y #s(literal 4 binary64)) y)
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes10.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) x #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y)))
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))))
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
Calls

2 calls:

5.0ms
y
4.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) y)
Results
AccuracySegmentsBranch
85.2%3y
85.2%3(*.f64 (*.f64 y #s(literal 4 binary64)) y)
Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes18.0ms (0.3%)

Memory
17.0MiB live, 17.0MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) x #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))))
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
Calls

5 calls:

4.0ms
x
4.0ms
y
4.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) y)
3.0ms
(*.f64 x x)
3.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
Results
AccuracySegmentsBranch
77.7%2x
77.7%2(*.f64 x x)
80.1%3(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
77.8%2y
77.8%2(*.f64 (*.f64 y #s(literal 4 binary64)) y)
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes3.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) x #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) x #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Calls

1 calls:

3.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
Results
AccuracySegmentsBranch
79.4%3(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
Compiler

Compiled 19 to 9 computations (52.6% saved)

regimes31.0ms (0.4%)

Memory
-27.2MiB live, 11.6MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64)))
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Calls

5 calls:

24.0ms
x
2.0ms
y
2.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) y)
2.0ms
(*.f64 x x)
1.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
Results
AccuracySegmentsBranch
76.6%2x
76.6%2(*.f64 x x)
76.4%2y
76.4%2(*.f64 (*.f64 y #s(literal 4 binary64)) y)
79.1%3(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes2.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
Results
AccuracySegmentsBranch
78.8%3(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
Compiler

Compiled 19 to 9 computations (52.6% saved)

regimes6.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Calls

5 calls:

1.0ms
x
1.0ms
y
1.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) y)
1.0ms
(*.f64 x x)
1.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
Results
AccuracySegmentsBranch
52.9%1y
52.9%1(*.f64 (*.f64 y #s(literal 4 binary64)) y)
52.9%1x
52.9%1(*.f64 x x)
52.9%1(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9541527193248276e+190
3.0554932666599605e+202
0.0ms
1.3086947985e-314
4.640729637475e-312
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9541527193248276e+190
3.0554932666599605e+202
0.0ms
1.3086947985e-314
4.640729637475e-312
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
NaN
0.0ms
-0.9999984678054751
0.9308361754417958
Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
NaN
0.0ms
-0.9999984678054751
0.9308361754417958
Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
NaN
0.0ms
-0.9999984678054751
0.9308361754417958
Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch38.0ms (0.5%)

Memory
-2.2MiB live, 34.8MiB allocated
Algorithm
binary-search
Stop Event
predicate-failed
narrow-enough
Steps
TimeLeftRight
22.0ms
1.0
NaN
13.0ms
-0.9999984678054751
0.9308361754417958
Samples
8.0ms416×0valid
2.0ms101×0invalid
Compiler

Compiled 1 114 to 638 computations (42.7% saved)

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

simplify38.0ms (0.5%)

Memory
23.1MiB live, 59.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068690
182690
297690
3105690
4111690
5113690
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 2024022533/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 20000000000000001451183431946375567220606848575622745649136687967944203449841378148904136363486483903481251953737351442322669506327274827542980731560078643584425249036505384641606421990866944 binary64)) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 2024022533/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 20000000000000001451183431946375567220606848575622745649136687967944203449841378148904136363486483903481251953737351442322669506327274827542980731560078643584425249036505384641606421990866944 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) #s(literal 2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) x #s(literal -1 binary64))) (if (<=.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) #s(literal 2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) #s(literal 2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) (*.f64 x x)) y #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) #s(literal +inf.0 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Outputs
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 2024022533/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 20000000000000001451183431946375567220606848575622745649136687967944203449841378148904136363486483903481251953737351442322669506327274827542980731560078643584425249036505384641606421990866944 binary64)) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2024022533/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 20000000000000001451183431946375567220606848575622745649136687967944203449841378148904136363486483903481251953737351442322669506327274827542980731560078643584425249036505384641606421990866944 binary64)) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 2024022533/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 20000000000000001451183431946375567220606848575622745649136687967944203449841378148904136363486483903481251953737351442322669506327274827542980731560078643584425249036505384641606421990866944 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))))
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#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

soundness1.6s (22.2%)

Memory
-6.3MiB live, 872.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115420
1319384
2960338
34078334
08269304
0940
01540
15440
239740
3632340
0848836
037209
061188
1246185
21657185
08388185
043300
066269
1272265
21681263
08295249
030180
047176
1191170
21419168
08444164
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 315 to 392 computations (70.2% saved)

preprocess83.0ms (1.1%)

Memory
6.6MiB live, 128.5MiB allocated
Remove

(abs x)

(abs y)

Compiler

Compiled 1 956 to 338 computations (82.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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