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

Time bar (total: 8.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze8.0ms (0.1%)

Memory
-43.6MiB live, 7.6MiB 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 (12.4%)

Memory
52.2MiB live, 1 322.2MiB allocated
Samples
690.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 388.0ms
ival-mult: 228.0ms (58.7% of total)
ival-div: 59.0ms (15.2% of total)
ival-sub: 52.0ms (13.4% of total)
ival-add: 35.0ms (9% of total)
ival-true: 6.0ms (1.5% of total)
exact: 5.0ms (1.3% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain136.0ms (1.7%)

Memory
-22.9MiB live, 187.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1260-0-(/.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)))
190-0-(-.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/o1050
(*.f64 (*.f64 y #s(literal 4 binary64)) y)overflow64
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))overflow105
(*.f64 y #s(literal 4 binary64))overflow1
(*.f64 x x)overflow60
(*.f64 (*.f64 y #s(literal 4 binary64)) y)overflow64
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))overflow105
(*.f64 y #s(literal 4 binary64))overflow1
(*.f64 x x)overflow60
/.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/u210
(*.f64 (*.f64 y #s(literal 4 binary64)) y)underflow68
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))underflow21
(*.f64 x x)underflow72
(*.f64 (*.f64 y #s(literal 4 binary64)) y)underflow68
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))underflow21
(*.f64 x x)underflow72
-.f64(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))nan-rescue190
(*.f64 x x)overflow60
(*.f64 (*.f64 y #s(literal 4 binary64)) y)overflow64
(*.f64 y #s(literal 4 binary64))overflow1
Confusion
Predicted +Predicted -
+1260
-0130
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12600
-00130
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0130
1107
219
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
49.0ms512×0valid
Compiler

Compiled 125 to 31 computations (75.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-sub: 17.0ms (49.4% of total)
ival-mult: 11.0ms (32% of total)
ival-div: 3.0ms (8.7% of total)
ival-add: 2.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess44.0ms (0.5%)

Memory
0.9MiB live, 47.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02597
18597
226295
354995
4107295
5148995
6164295
7165395
0919
01519
13019
28119
319019
439019
560819
688019
789219
089217
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 (*.f64 #s(literal 4 binary64) y) y (*.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
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.8%
(/.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)

simplify14.0ms (0.2%)

Memory
19.5MiB live, 19.5MiB 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-diff1
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
cost-diff1
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0951
01551
13051
28151
319051
439051
560851
688051
789251
089247
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 (*.f64 #s(literal 4 binary64) y) y (*.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 (*.f64 #s(literal 4 binary64) y) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))

localize47.0ms (0.6%)

Memory
-16.6MiB live, 28.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy4.3945064799624705
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy30.924236056091544
(/.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
39.0ms256×0valid
Compiler

Compiled 53 to 11 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (57.3% of total)
ival-sub: 1.0ms (11.5% of total)
ival-div: 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)

series7.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB 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
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))
1.0ms
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
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))

simplify179.0ms (2.2%)

Memory
-10.1MiB live, 217.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115440
1326402
21092358
36285354
08250332
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 #s(literal -4 binary64) y) y (*.f64 x x))
(* 4 (pow y 2))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.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)
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 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)))
(- (* (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)
(-.f64 (*.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) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 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 #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)))))
(+.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) (/.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))))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.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))
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) y) x) #s(literal 4 binary64)) (*.f64 y y))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 4 binary64)) (*.f64 y y))
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.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)))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 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)))
(- (+ (* 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 (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 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))) (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 binary64))))

rewrite210.0ms (2.6%)

Memory
2.5MiB live, 196.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0940
01540
15240
238240
0562336
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
4 → 467
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 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal 4 binary64) y) y)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal 4 binary64) y) y)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)))))) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 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 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 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))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal 4 binary64) y) y)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 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 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.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 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))))) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))))
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(+.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) (/.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 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))

eval74.0ms (0.9%)

Memory
-0.1MiB live, 94.0MiB allocated
Compiler

Compiled 23 724 to 1 315 computations (94.5% saved)

prune10.0ms (0.1%)

Memory
28.7MiB live, 28.7MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4956501
Fresh000
Picked101
Done000
Total4966502
Accuracy
99.7%
Counts
502 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.8%
(/.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)))
50.8%
(/.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)))
51.6%
#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)))
52.2%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
50.1%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
50.5%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Compiler

Compiled 276 to 148 computations (46.4% saved)

simplify118.0ms (1.5%)

Memory
4.3MiB live, 94.8MiB 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 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))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y))
cost-diff0
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031205
048201
1101197
2240197
3590197
41321197
52545197
63764197
73920197
83924197
93924197
104052197
114108197
124108197
04108197
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
#s(literal 1/2 binary64)
(/.f64 x y)
x
y
#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))) #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)
(/.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))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 x y)
x
y
#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))) #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)
(/.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 y y) #s(literal 4 binary64) (*.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))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)

localize105.0ms (1.3%)

Memory
-14.4MiB live, 89.6MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 4 binary64) y)
accuracy0.00390625
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
accuracy4.1952877299624705
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
accuracy30.924236056091544
(/.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)))
accuracy0.0
(/.f64 y x)
accuracy0.00390625
(*.f64 #s(literal -8 binary64) (/.f64 y x))
accuracy0.12109375
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
accuracy30.987816899479544
#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)))
accuracy31.936650056617676
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
accuracy31.692855806791716
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
accuracy0.0
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
accuracy0.00390625
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
accuracy0.24447250976844204
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y))
accuracy30.58568476823218
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
Samples
66.0ms256×0valid
Compiler

Compiled 185 to 31 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 39.0ms (75.1% of total)
ival-div: 6.0ms (11.5% of total)
ival-add: 4.0ms (7.7% of total)
ival-sub: 2.0ms (3.8% of total)
exact: 1.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory
-3.0MiB live, 39.9MiB allocated
Counts
16 → 34
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
#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)
(/.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)
(* 1/2 (/ (pow x 2) (pow y 2)))
(* 1/2 (/ x y))
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(* -8 (/ y x))
(/ y x)
(* -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)))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (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))
(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
4.0ms
x
@inf
((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x 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)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (+ (* -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
x
@0
((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x 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)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (+ (* -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
@0
((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x 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)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (+ (* -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))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x 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)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (+ (* -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
x
@-inf
((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x 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)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (+ (* -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))

simplify208.0ms (2.6%)

Memory
-0.2MiB live, 228.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0130500
1368466
21228422
37033418
08248388
Stop Event
iter limit
node limit
Counts
34 → 34
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)))
(* 1/2 (/ x y))
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(* -8 (/ y x))
(/ y x)
(* -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)))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (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))
(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 x (/.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 (/.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) y) (*.f64 x (/.f64 x 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) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
(* 1/2 (/ (pow x 2) (pow y 2)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 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)
(* -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 #s(literal 4 binary64) 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 (/.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)))))
(+.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 (/.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))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))
(+ 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))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) #s(literal 1 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 x (/.f64 x y)) #s(literal -1 binary64))
(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 x (/.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 (/.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) y) (*.f64 x (/.f64 x 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))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 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))
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) y) x) #s(literal 4 binary64)) (*.f64 y y))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))

rewrite309.0ms (3.8%)

Memory
-13.2MiB live, 366.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031188
048184
1178172
21268172
08601170
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 031
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
#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)
(/.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))) (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 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)) (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 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.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))) (/.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)))) (*.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)) (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 (*.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 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.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)))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.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))))) (*.f64 (pow.f64 (fma.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)) (pow.f64 (fma.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 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.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 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 (-.f64 (pow.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 3 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 3 binary64))) (fma.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))) (/.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))) (fma.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)) (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 (*.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 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.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 3 binary64)) (pow.f64 (pow.f64 (fma.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)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.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)))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.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)))) (fma.f64 (pow.f64 (fma.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)) (pow.f64 (fma.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 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.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 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 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (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 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.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))))))
(/.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))) (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 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.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)))) (*.f64 (fma.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 (fma.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))) (fma.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)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #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))))
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(fma.f64 x x (*.f64 (neg.f64 (*.f64 y y)) #s(literal -4 binary64)))
(fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y))
(-.f64 (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #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 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 x) x))))) (/.f64 (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 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 x) x))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))))
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y))) (neg.f64 y)))
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal -4 binary64))))
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) y)))
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y))
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (*.f64 y y)) #s(literal -4 binary64)))
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 #s(literal 4 binary64) y) y))
(-.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(-.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x))
(-.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 x x))
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) x))
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x))))
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y))) y))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) (neg.f64 y)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y y)) #s(literal 4 binary64)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) y)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -4 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))))
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))))
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 y y) #s(literal -4 binary64)))
(+.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x))))
(+.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y))) (neg.f64 y)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal -4 binary64))))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) y)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 4 binary64) y)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y y)) #s(literal -4 binary64)))
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 4 binary64) y) y))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))

eval231.0ms (2.9%)

Memory
4.8MiB live, 216.9MiB allocated
Compiler

Compiled 47 162 to 2 816 computations (94% saved)

prune38.0ms (0.5%)

Memory
-3.6MiB live, 51.9MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1 08341 087
Fresh101
Picked235
Done000
Total1 08671 093
Accuracy
99.7%
Counts
1 093 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.8%
(/.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)))
52.2%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
51.6%
#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)))
43.4%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))
50.7%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
50.1%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
50.5%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Compiler

Compiled 199 to 105 computations (47.2% saved)

simplify124.0ms (1.5%)

Memory
5.4MiB live, 51.5MiB 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 (/.f64 x y))
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff0
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 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 x (/.f64 x y)) #s(literal -1 binary64)))
cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
cost-diff0
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y))
cost-diff0
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
cost-diff1
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
cost-diff10
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043321
069318
1134315
2325315
31008297
42594295
53746295
64312295
74504295
84517295
94527295
104528295
114854295
124986295
135014295
145014295
05014288
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
#s(literal 8 binary64)
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 y x)
y
x
#s(literal 2 binary64)
(/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 64 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 y y)
y
#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 x (/.f64 x y)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 x (/.f64 x y))
x
(/.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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))
#s(literal 8 binary64)
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 y x)
y
x
#s(literal 2 binary64)
(/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64))
(*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 64 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))
(-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 y y)
y
#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 x (/.f64 x y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 x y) x) (/.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 x (/.f64 x y))
(*.f64 (/.f64 x y) x)
x
(/.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 #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 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)

localize1.6s (19.6%)

Memory
4.2MiB live, 188.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 #s(literal 4 binary64) y)
accuracy4.1952877299624705
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
accuracy30.924236056091544
(/.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)))
accuracy0.0
(/.f64 #s(literal 1/2 binary64) y)
accuracy0.12890625
(*.f64 x (/.f64 x y))
accuracy1.7135412733538005
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
accuracy30.58568476823218
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 #s(literal 1/2 binary64) x)
accuracy17.699290257247267
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y))
accuracy30.58568476823218
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))
accuracy0.24263393560039825
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
accuracy0.2545700195368841
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
accuracy19.208211658970107
(/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
accuracy30.987816899479544
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
Samples
1.6s256×0valid
Compiler

Compiled 275 to 43 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-mult: 1.5s (96.8% of total)
ival-sub: 21.0ms (1.4% of total)
ival-div: 18.0ms (1.2% of total)
ival-add: 5.0ms (0.3% of total)
ival-pow: 2.0ms (0.1% of total)
ival-pow2: 2.0ms (0.1% of total)
exact: 1.0ms (0.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series104.0ms (1.3%)

Memory
1.0MiB live, 46.0MiB allocated
Counts
21 → 65
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(*.f64 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)
(/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 4 binary64) y)
Outputs
(* -8 (/ (pow y 2) (pow x 2)))
(/ (- (pow x 2) (* 8 (pow y 2))) (pow x 2))
(* 8 (/ (pow y 2) (pow x 2)))
(/ (+ (* 8 (pow y 2)) (pow x 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)
(* 1/8 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow y 6))) (* 1/64 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/4096 (/ (pow x 2) (pow y 8))) (* 1/512 (/ 1 (pow y 6))))) (* 1/64 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* 1/2 (pow x 2))
(/ (pow x 2) y)
(* -4 (pow y 2))
(+ (* -4 (pow y 2)) (pow x 2))
(pow x 2)
(/ (+ (* -1 (pow x 2)) (* 8 (pow y 2))) (pow x 2))
(/ (+ (* 8 (pow y 2)) (* (pow x 2) (- (* 1/8 (/ (pow x 2) (pow y 2))) 1))) (pow x 2))
(/ (+ (* 8 (pow y 2)) (* (pow x 2) (- (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))) 1))) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 4) (pow x 4))
(* 1/2 x)
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -1 (/ (+ (* -512 (pow y 6)) (* 512 (pow y 6))) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))))
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(- (+ 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 (* 64 (/ (pow y 4) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -512 (/ (pow y 6) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 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)))))
(* 64 (/ (pow y 4) (pow x 4)))
(/ (+ (* -512 (/ (pow y 6) (pow x 2))) (* 64 (pow y 4))) (pow x 4))
(/ (+ (* -512 (/ (pow y 6) (pow x 2))) (+ (* 64 (pow y 4)) (* 4096 (/ (pow y 8) (pow x 4))))) (pow x 4))
(/ (+ (* -32768 (/ (pow y 10) (pow x 6))) (+ (* -512 (/ (pow y 6) (pow x 2))) (+ (* 64 (pow y 4)) (* 4096 (/ (pow y 8) (pow x 4)))))) (pow x 4))
(+ 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) (- (* 64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 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)
(* (pow y 4) (+ (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4)))))
(* (pow y 4) (+ (* (pow y 2) (- (* 4096 (/ (pow y 2) (pow x 8))) (* 512 (/ 1 (pow x 6))))) (* 64 (/ 1 (pow x 4)))))
(* (pow y 4) (+ (* (pow y 2) (- (* (pow y 2) (+ (* -32768 (/ (pow y 2) (pow x 10))) (* 4096 (/ 1 (pow x 8))))) (* 512 (/ 1 (pow x 6))))) (* 64 (/ 1 (pow x 4)))))
(* 4 y)
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/64 (pow x 4))) (pow y 6))) (/ 1 (pow y 2))) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/512 (pow x 6)) (* 1/512 (pow x 6))) (pow y 8))) (/ 1 (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 6))) (+ (* 1/64 (/ (pow x 4) (pow y 6))) (* 8 (/ 1 (pow x 2)))))))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (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))))))
(/ (+ (* -1/64 (/ (pow x 4) (pow y 2))) (* 1/8 (pow x 2))) (pow y 2))
(/ (- (+ (* 1/512 (/ (pow x 6) (pow y 4))) (* 1/8 (pow x 2))) (* 1/64 (/ (pow x 4) (pow y 2)))) (pow y 2))
(/ (- (+ (* -1/4096 (/ (pow x 8) (pow y 6))) (* 1/8 (pow x 2))) (+ (* -1/512 (/ (pow x 6) (pow y 4))) (* 1/64 (/ (pow x 4) (pow y 2))))) (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 2) (- (+ (* 1/8 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))) (/ 1 (pow y 2))))
(* (pow y 2) (- (+ (* -1/64 (/ (pow x 4) (pow y 6))) (* 8 (/ 1 (pow x 2)))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2)))))
Calls

6 calls:

TimeVariablePointExpression
78.0ms
x
@inf
((- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ 1 (* 8 (pow (/ y x) 2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (/ (* (* 1/2 x) x) (* y y)) (* (* 1/2 x) 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)) (+ (* x x) (* (* 4 y) y))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2)))) (pow (/ y x) 2) (pow (/ y x) 4) (* 1/2 x) (* 4 y))
8.0ms
x
@0
((- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ 1 (* 8 (pow (/ y x) 2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (/ (* (* 1/2 x) x) (* y y)) (* (* 1/2 x) 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)) (+ (* x x) (* (* 4 y) y))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2)))) (pow (/ y x) 2) (pow (/ y x) 4) (* 1/2 x) (* 4 y))
5.0ms
y
@inf
((- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ 1 (* 8 (pow (/ y x) 2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (/ (* (* 1/2 x) x) (* y y)) (* (* 1/2 x) 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)) (+ (* x x) (* (* 4 y) y))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2)))) (pow (/ y x) 2) (pow (/ y x) 4) (* 1/2 x) (* 4 y))
4.0ms
y
@0
((- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ 1 (* 8 (pow (/ y x) 2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (/ (* (* 1/2 x) x) (* y y)) (* (* 1/2 x) 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)) (+ (* x x) (* (* 4 y) y))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2)))) (pow (/ y x) 2) (pow (/ y x) 4) (* 1/2 x) (* 4 y))
4.0ms
y
@-inf
((- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ 1 (* 8 (pow (/ y x) 2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (/ (* (* 1/2 x) x) (* y y)) (* (* 1/2 x) 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)) (+ (* x x) (* (* 4 y) y))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2)))) (pow (/ y x) 2) (pow (/ y x) 4) (* 1/2 x) (* 4 y))

simplify191.0ms (2.4%)

Memory
6.7MiB live, 197.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02961226
18761163
230051117
084871043
Stop Event
iter limit
node limit
Counts
65 → 65
Calls
Call 1
Inputs
(* -8 (/ (pow y 2) (pow x 2)))
(/ (- (pow x 2) (* 8 (pow y 2))) (pow x 2))
(* 8 (/ (pow y 2) (pow x 2)))
(/ (+ (* 8 (pow y 2)) (pow x 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)
(* 1/8 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow y 6))) (* 1/64 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/4096 (/ (pow x 2) (pow y 8))) (* 1/512 (/ 1 (pow y 6))))) (* 1/64 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* 1/2 (pow x 2))
(/ (pow x 2) y)
(* -4 (pow y 2))
(+ (* -4 (pow y 2)) (pow x 2))
(pow x 2)
(/ (+ (* -1 (pow x 2)) (* 8 (pow y 2))) (pow x 2))
(/ (+ (* 8 (pow y 2)) (* (pow x 2) (- (* 1/8 (/ (pow x 2) (pow y 2))) 1))) (pow x 2))
(/ (+ (* 8 (pow y 2)) (* (pow x 2) (- (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))) 1))) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 4) (pow x 4))
(* 1/2 x)
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -1 (/ (+ (* -512 (pow y 6)) (* 512 (pow y 6))) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))))
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(- (+ 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 (* 64 (/ (pow y 4) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -512 (/ (pow y 6) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 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)))))
(* 64 (/ (pow y 4) (pow x 4)))
(/ (+ (* -512 (/ (pow y 6) (pow x 2))) (* 64 (pow y 4))) (pow x 4))
(/ (+ (* -512 (/ (pow y 6) (pow x 2))) (+ (* 64 (pow y 4)) (* 4096 (/ (pow y 8) (pow x 4))))) (pow x 4))
(/ (+ (* -32768 (/ (pow y 10) (pow x 6))) (+ (* -512 (/ (pow y 6) (pow x 2))) (+ (* 64 (pow y 4)) (* 4096 (/ (pow y 8) (pow x 4)))))) (pow x 4))
(+ 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) (- (* 64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 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)
(* (pow y 4) (+ (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4)))))
(* (pow y 4) (+ (* (pow y 2) (- (* 4096 (/ (pow y 2) (pow x 8))) (* 512 (/ 1 (pow x 6))))) (* 64 (/ 1 (pow x 4)))))
(* (pow y 4) (+ (* (pow y 2) (- (* (pow y 2) (+ (* -32768 (/ (pow y 2) (pow x 10))) (* 4096 (/ 1 (pow x 8))))) (* 512 (/ 1 (pow x 6))))) (* 64 (/ 1 (pow x 4)))))
(* 4 y)
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/64 (pow x 4))) (pow y 6))) (/ 1 (pow y 2))) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/512 (pow x 6)) (* 1/512 (pow x 6))) (pow y 8))) (/ 1 (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 6))) (+ (* 1/64 (/ (pow x 4) (pow y 6))) (* 8 (/ 1 (pow x 2)))))))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (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))))))
(/ (+ (* -1/64 (/ (pow x 4) (pow y 2))) (* 1/8 (pow x 2))) (pow y 2))
(/ (- (+ (* 1/512 (/ (pow x 6) (pow y 4))) (* 1/8 (pow x 2))) (* 1/64 (/ (pow x 4) (pow y 2)))) (pow y 2))
(/ (- (+ (* -1/4096 (/ (pow x 8) (pow y 6))) (* 1/8 (pow x 2))) (+ (* -1/512 (/ (pow x 6) (pow y 4))) (* 1/64 (/ (pow x 4) (pow y 2))))) (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 2) (- (+ (* 1/8 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))) (/ 1 (pow y 2))))
(* (pow y 2) (- (+ (* -1/64 (/ (pow x 4) (pow y 6))) (* 8 (/ 1 (pow x 2)))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2)))))
Outputs
(* -8 (/ (pow y 2) (pow x 2)))
(*.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x))
(/ (- (pow x 2) (* 8 (pow y 2))) (pow x 2))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
(* 8 (/ (pow y 2) (pow x 2)))
(*.f64 (/.f64 (*.f64 #s(literal 8 binary64) y) x) (/.f64 y x))
(/ (+ (* 8 (pow y 2)) (pow x 2)) (pow x 2))
(fma.f64 (/.f64 (*.f64 #s(literal 8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
-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)
(-.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.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 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 1/32 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)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y))
(* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))
(*.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow y 6))) (* 1/64 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 y #s(literal 6 binary64))) x) x (/.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/4096 (/ (pow x 2) (pow y 8))) (* 1/512 (/ 1 (pow y 6))))) (* 1/64 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 8 binary64)))) #s(literal -1/4096 binary64) (/.f64 #s(literal 1/512 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x))
(* 1/2 (/ (pow x 2) (pow y 2)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y))
(* 1/2 (pow x 2))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) 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)
(/ (+ (* -1 (pow x 2)) (* 8 (pow y 2))) (pow x 2))
(fma.f64 (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) y #s(literal -1 binary64))
(/ (+ (* 8 (pow y 2)) (* (pow x 2) (- (* 1/8 (/ (pow x 2) (pow y 2))) 1))) (pow x 2))
(fma.f64 #s(literal 8 binary64) (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64)))
(/ (+ (* 8 (pow y 2)) (* (pow x 2) (- (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))) 1))) (pow x 2))
(fma.f64 #s(literal 8 binary64) (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x)) #s(literal 1 binary64)))
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 y x) (/.f64 y x))
(/ (pow y 4) (pow x 4))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (+ (* -512 (pow y 6)) (* 512 (pow y 6))) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 (*.f64 #s(literal 8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) 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 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #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 16 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))))
(- (+ 1 (* 64 (/ (pow y 4) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) (fma.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ 1 (* -512 (/ (pow y 6) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -512 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) (fma.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x))
(* 64 (/ (pow y 4) (pow x 4)))
(*.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(/ (+ (* -512 (/ (pow y 6) (pow x 2))) (* 64 (pow y 4))) (pow x 4))
(/.f64 (fma.f64 (/.f64 #s(literal -512 binary64) x) (/.f64 (pow.f64 y #s(literal 6 binary64)) x) (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -512 (/ (pow y 6) (pow x 2))) (+ (* 64 (pow y 4)) (* 4096 (/ (pow y 8) (pow x 4))))) (pow x 4))
(/.f64 (fma.f64 (/.f64 #s(literal -512 binary64) x) (/.f64 (pow.f64 y #s(literal 6 binary64)) x) (fma.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 4096 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -32768 (/ (pow y 10) (pow x 6))) (+ (* -512 (/ (pow y 6) (pow x 2))) (+ (* 64 (pow y 4)) (* 4096 (/ (pow y 8) (pow x 4)))))) (pow x 4))
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 10 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -32768 binary64) (fma.f64 (/.f64 #s(literal -512 binary64) x) (/.f64 (pow.f64 y #s(literal 6 binary64)) x) (fma.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 4096 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 4 binary64)))))) (pow.f64 x #s(literal 4 binary64)))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 y y) #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 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal -128 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) (- (* 64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal -512 binary64) (/.f64 #s(literal 64 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)
(* (pow y 4) (+ (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4)))))
(*.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal -512 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* (pow y 2) (- (* 4096 (/ (pow y 2) (pow x 8))) (* 512 (/ 1 (pow x 6))))) (* 64 (/ 1 (pow x 4)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 8 binary64))) y) y (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 y y) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* (pow y 2) (- (* (pow y 2) (+ (* -32768 (/ (pow y 2) (pow x 10))) (* 4096 (/ 1 (pow x 8))))) (* 512 (/ 1 (pow x 6))))) (* 64 (/ 1 (pow x 4)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 10 binary64)))) #s(literal -32768 binary64) (/.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 y y) (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 y y) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/64 (pow x 4))) (pow y 6))) (/ 1 (pow y 2))) (* 8 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y)))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/512 (pow x 6)) (* 1/512 (pow x 6))) (pow y 8))) (/ 1 (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 6))) (+ (* 1/64 (/ (pow x 4) (pow y 6))) (* 8 (/ 1 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y)))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(fma.f64 (/.f64 (*.f64 #s(literal 8 binary64) y) x) (/.f64 y x) #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) 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 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) 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))))))
(fma.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))))
(/ (+ (* -1/64 (/ (pow x 4) (pow y 2))) (* 1/8 (pow x 2))) (pow y 2))
(/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) x) x (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (/.f64 #s(literal -1/64 binary64) y))) (*.f64 y y))
(/ (- (+ (* 1/512 (/ (pow x 6) (pow y 4))) (* 1/8 (pow x 2))) (* 1/64 (/ (pow x 4) (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (/.f64 #s(literal -1/64 binary64) y) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) x (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/512 binary64) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 y y))
(/ (- (+ (* -1/4096 (/ (pow x 8) (pow y 6))) (* 1/8 (pow x 2))) (+ (* -1/512 (/ (pow x 6) (pow y 4))) (* 1/64 (/ (pow x 4) (pow y 2))))) (pow y 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/4096 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (/.f64 #s(literal -1/64 binary64) y) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) x (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/512 binary64) (pow.f64 y #s(literal 4 binary64))))))) (*.f64 y y))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(*.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 4 binary64)) (*.f64 y y))
(* (pow y 2) (- (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(*.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y))
(* (pow y 2) (- (+ (* 1/8 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))) (/ 1 (pow y 2))))
(*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 y y))
(* (pow y 2) (- (+ (* -1/64 (/ (pow x 4) (pow y 6))) (* 8 (/ 1 (pow x 2)))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2)))))
(*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/64 binary64) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) (*.f64 y y))

rewrite215.0ms (2.6%)

Memory
1.2MiB live, 200.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043266
069243
1261220
21855220
08254217
Stop Event
iter limit
node limit
iter limit
Counts
21 → 542
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(*.f64 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)
(/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 4 binary64) y)
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 262144 binary64) (pow.f64 (/.f64 y x) #s(literal 12 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) (*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))) (neg.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))) (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (*.f64 (pow.f64 (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 8 binary64))))) (*.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (*.f64 (pow.f64 (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 12 binary64))))) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))) (*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))) (*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #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 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) (neg.f64 (*.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #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 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (*.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #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 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (*.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (neg.f64 (*.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))))
(/.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #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 6 binary64)) #s(literal 512 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64)))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))))
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eval151.0ms (1.9%)

Memory
-39.3MiB live, 104.3MiB allocated
Compiler

Compiled 31 139 to 2 641 computations (91.5% saved)

prune16.0ms (0.2%)

Memory
33.1MiB live, 33.1MiB allocated
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New6885693
Fresh000
Picked224
Done033
Total69010700
Accuracy
99.7%
Counts
700 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.8%
(/.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)))
52.2%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
51.6%
#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)))
48.2%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
50.7%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
50.7%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))))))))
14.7%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
44.3%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y)))))
50.1%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
50.5%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Compiler

Compiled 631 to 334 computations (47.1% saved)

simplify140.0ms (1.7%)

Memory
-26.4MiB live, 66.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
cost-diff1
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
cost-diff10
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))
cost-diff10
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
cost-diff1
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
cost-diff2
(fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64))
cost-diff10
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y)))))
cost-diff1
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y)))
cost-diff2
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x)))
cost-diff2
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y))
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
cost-diff2
(fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))
cost-diff1
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
cost-diff2
(-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
cost-diff3
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
cost-diff10
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069822
0111758
1204744
2504718
31641644
46891636
09131594
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
#s(literal 8 binary64)
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 y x)
y
x
#s(literal 2 binary64)
(/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 64 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))))
(*.f64 #s(literal 8 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (log.f64 y) #s(literal 2 binary64))
(log.f64 y)
(*.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))
x
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(*.f64 y y)
y
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y)))))
#s(approx (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y)))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x)))
#s(literal 0 binary64)
(/.f64 #s(literal 8 binary64) (*.f64 x x))
#s(literal 8 binary64)
(*.f64 x x)
x
(*.f64 y y)
y
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64))
(/.f64 y x)
y
x
(*.f64 (/.f64 y x) #s(literal 8 binary64))
#s(literal 8 binary64)
(/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 64 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
#s(literal 8 binary64)
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 y x)
y
x
#s(literal 2 binary64)
(/.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #s(literal 64 binary64))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))
(cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))
(log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
(sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))
#s(literal 64 binary64)
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))))))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))
#s(literal 8 binary64)
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 y x)
y
x
#s(literal 2 binary64)
(/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))))))
(/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64))
(*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 64 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 8 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (-.f64 (log.f64 x) (log.f64 y)))
(*.f64 (log.f64 y) #s(literal 2 binary64))
(log.f64 y)
(*.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))
x
(/.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)
(*.f64 y y)
y
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y))))
#s(approx (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y)))
(fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y))
(*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x)))
(/.f64 #s(literal -8 binary64) (*.f64 x x))
#s(literal 0 binary64)
(/.f64 #s(literal 8 binary64) (*.f64 x x))
#s(literal 8 binary64)
(*.f64 x x)
x
(*.f64 y y)
y
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))
(/.f64 y x)
y
x
(*.f64 (/.f64 y x) #s(literal 8 binary64))
#s(literal 8 binary64)
(/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64))
(*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 64 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))
#s(literal 8 binary64)
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 y x)
y
x
#s(literal 2 binary64)
(/.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))
(*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #s(literal 64 binary64))
(*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
(cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))
(log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
(sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))
#s(literal 64 binary64)

localize468.0ms (5.8%)

Memory
11.9MiB live, 297.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy19.208211658970107
(/.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
accuracy21.966378190588884
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))
accuracy30.987816899479544
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
accuracy35.83488389508676
(log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
accuracy0.24263393560039825
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
accuracy0.2545700195368841
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
accuracy19.208211658970107
(/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
accuracy30.987816899479544
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
accuracy0.00390625
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y)))
accuracy0.1950598680474267
(/.f64 #s(literal 8 binary64) (*.f64 x x))
accuracy18.31125026106126
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y))
accuracy30.987816899479544
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y)))))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) x)
accuracy2.617279888862005
(fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))
accuracy8.49116625298401
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y))
accuracy21.866934768232177
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
accuracy0.6360433600307691
(-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy2.472063260881734
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
accuracy19.208211658970107
(/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))))))
accuracy30.987816899479544
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))))))))
Samples
219.0ms90×1valid
71.0ms130×0valid
19.0ms36×1exit
Compiler

Compiled 653 to 58 computations (91.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 257.0ms
ival-add: 71.0ms (27.7% of total)
ival-cosh: 47.0ms (18.3% of total)
ival-mult: 32.0ms (12.5% of total)
ival-log: 27.0ms (10.5% of total)
ival-sinh: 25.0ms (9.7% of total)
ival-div: 18.0ms (7% of total)
adjust: 14.0ms (5.5% of total)
ival-sub: 10.0ms (3.9% of total)
ival-pow: 4.0ms (1.6% of total)
ival-pow2: 4.0ms (1.6% of total)
ival-exp: 4.0ms (1.6% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series435.0ms (5.4%)

Memory
18.8MiB live, 533.2MiB allocated
Counts
26 → 141
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))))))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))))))))
(/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))))))
(/.f64 #s(literal 8 binary64) (*.f64 x x))
(/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
(log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
(/.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
Outputs
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(exp (- (* 2 (+ (log -1) (* -1 (log (/ -1 y))))) (* 2 (log x))))
(- (* 2 (+ (log -1) (* -1 (log (/ -1 y))))) (* 2 (log x)))
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(/ (- (+ (* -1 (/ (+ (* -1/512 (pow x 6)) (* 1/8 (* (pow x 6) (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))))))) (pow y 4))) (* 1/8 (pow x 2))) (+ (* -1 (/ (* (pow x 4) (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))))) (pow y 2))) (+ (* 1/64 (/ (pow x 4) (pow y 2))) (* 8 (* (pow x 2) (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))))))))) (pow y 2))
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(* 64 (/ (pow y 4) (* (pow x 4) (+ 1 (* 8 (exp (- (* 2 (+ (log -1) (* -1 (log (/ -1 y))))) (* 2 (log x)))))))))
(+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))
(* 8 (/ (* (pow x 2) (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))))) (pow y 2)))
(/ (+ (* -1 (/ (* (pow x 4) (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))))) (pow y 2))) (* 8 (* (pow x 2) (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))))))) (pow y 2))
(/ (+ (* -1 (/ (* (pow x 4) (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))))) (pow y 2))) (+ (* 1/8 (/ (* (pow x 6) (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))))) (pow y 4))) (* 8 (* (pow x 2) (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))))))))))) (pow y 2))
(/ (+ (* -1 (/ (* (pow x 4) (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))))) (pow y 2))) (+ (* -1/64 (/ (* (pow x 8) (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))))) (pow y 6))) (+ (* 1/8 (/ (* (pow x 6) (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))))) (pow y 4))) (* 8 (* (pow x 2) (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))))))))) (pow y 2))
Calls

6 calls:

TimeVariablePointExpression
154.0ms
x
@0
((- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (exp (- (* (log y) 2) (* (log x) 2))))))) (exp (- (* (log y) 2) (* (log x) 2))) (- (* (log y) 2) (* (log x) 2)) (+ 1 (* 8 (pow (/ y x) 2))) (+ (* x (/ (* 1/2 x) (* y y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* 1/2 x) (* y y)) (* 1/2 x) (* (- 0 (/ 8 (* x x))) (* y y)) (- 0 (/ 8 (* x x))) (+ 1 (* (- 0 (/ 8 (* x x))) (* y y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ 1 (+ (* (/ y x) (* (/ y x) 8)) 1)) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ (* (/ y x) (* (/ y x) 8)) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (+ (cosh (log (pow (/ y x) 4))) (sinh (log (pow (/ y x) 4)))) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ (cosh (log (pow (/ y x) 4))) (sinh (log (pow (/ y x) 4)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (exp (- (* (log y) 2) (* (log x) 2)))))) (/ 8 (* x x)) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2)))) (pow (/ y x) 2) (pow (/ y x) 4) (log (pow (/ y x) 4)) (/ (* (+ (cosh (log (pow (/ y x) 4))) (sinh (log (pow (/ y x) 4)))) 64) (+ 1 (* 8 (pow (/ y x) 2)))))
77.0ms
x
@inf
((- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (exp (- (* (log y) 2) (* (log x) 2))))))) (exp (- (* (log y) 2) (* (log x) 2))) (- (* (log y) 2) (* (log x) 2)) (+ 1 (* 8 (pow (/ y x) 2))) (+ (* x (/ (* 1/2 x) (* y y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* 1/2 x) (* y y)) (* 1/2 x) (* (- 0 (/ 8 (* x x))) (* y y)) (- 0 (/ 8 (* x x))) (+ 1 (* (- 0 (/ 8 (* x x))) (* y y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ 1 (+ (* (/ y x) (* (/ y x) 8)) 1)) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ (* (/ y x) (* (/ y x) 8)) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (+ (cosh (log (pow (/ y x) 4))) (sinh (log (pow (/ y x) 4)))) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ (cosh (log (pow (/ y x) 4))) (sinh (log (pow (/ y x) 4)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (exp (- (* (log y) 2) (* (log x) 2)))))) (/ 8 (* x x)) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2)))) (pow (/ y x) 2) (pow (/ y x) 4) (log (pow (/ y x) 4)) (/ (* (+ (cosh (log (pow (/ y x) 4))) (sinh (log (pow (/ y x) 4)))) 64) (+ 1 (* 8 (pow (/ y x) 2)))))
68.0ms
y
@-inf
((- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (exp (- (* (log y) 2) (* (log x) 2))))))) (exp (- (* (log y) 2) (* (log x) 2))) (- (* (log y) 2) (* (log x) 2)) (+ 1 (* 8 (pow (/ y x) 2))) (+ (* x (/ (* 1/2 x) (* y y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* 1/2 x) (* y y)) (* 1/2 x) (* (- 0 (/ 8 (* x x))) (* y y)) (- 0 (/ 8 (* x x))) (+ 1 (* (- 0 (/ 8 (* x x))) (* y y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ 1 (+ (* (/ y x) (* (/ y x) 8)) 1)) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ (* (/ y x) (* (/ y x) 8)) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (+ (cosh (log (pow (/ y x) 4))) (sinh (log (pow (/ y x) 4)))) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ (cosh (log (pow (/ y x) 4))) (sinh (log (pow (/ y x) 4)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (exp (- (* (log y) 2) (* (log x) 2)))))) (/ 8 (* x x)) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2)))) (pow (/ y x) 2) (pow (/ y x) 4) (log (pow (/ y x) 4)) (/ (* (+ (cosh (log (pow (/ y x) 4))) (sinh (log (pow (/ y x) 4)))) 64) (+ 1 (* 8 (pow (/ y x) 2)))))
46.0ms
y
@0
((- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (exp (- (* (log y) 2) (* (log x) 2))))))) (exp (- (* (log y) 2) (* (log x) 2))) (- (* (log y) 2) (* (log x) 2)) (+ 1 (* 8 (pow (/ y x) 2))) (+ (* x (/ (* 1/2 x) (* y y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* 1/2 x) (* y y)) (* 1/2 x) (* (- 0 (/ 8 (* x x))) (* y y)) (- 0 (/ 8 (* x x))) (+ 1 (* (- 0 (/ 8 (* x x))) (* y y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ 1 (+ (* (/ y x) (* (/ y x) 8)) 1)) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ (* (/ y x) (* (/ y x) 8)) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (+ (cosh (log (pow (/ y x) 4))) (sinh (log (pow (/ y x) 4)))) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ (cosh (log (pow (/ y x) 4))) (sinh (log (pow (/ y x) 4)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (exp (- (* (log y) 2) (* (log x) 2)))))) (/ 8 (* x x)) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2)))) (pow (/ y x) 2) (pow (/ y x) 4) (log (pow (/ y x) 4)) (/ (* (+ (cosh (log (pow (/ y x) 4))) (sinh (log (pow (/ y x) 4)))) 64) (+ 1 (* 8 (pow (/ y x) 2)))))
42.0ms
x
@-inf
((- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (exp (- (* (log y) 2) (* (log x) 2))))))) (exp (- (* (log y) 2) (* (log x) 2))) (- (* (log y) 2) (* (log x) 2)) (+ 1 (* 8 (pow (/ y x) 2))) (+ (* x (/ (* 1/2 x) (* y y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* 1/2 x) (* y y)) (* 1/2 x) (* (- 0 (/ 8 (* x x))) (* y y)) (- 0 (/ 8 (* x x))) (+ 1 (* (- 0 (/ 8 (* x x))) (* y y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ 1 (+ (* (/ y x) (* (/ y x) 8)) 1)) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ (* (/ y x) (* (/ y x) 8)) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (+ (cosh (log (pow (/ y x) 4))) (sinh (log (pow (/ y x) 4)))) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ (cosh (log (pow (/ y x) 4))) (sinh (log (pow (/ y x) 4)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (exp (- (* (log y) 2) (* (log x) 2)))))) (/ 8 (* x x)) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2)))) (pow (/ y x) 2) (pow (/ y x) 4) (log (pow (/ y x) 4)) (/ (* (+ (cosh (log (pow (/ y x) 4))) (sinh (log (pow (/ y x) 4)))) 64) (+ 1 (* 8 (pow (/ y x) 2)))))

simplify187.0ms (2.3%)

Memory
41.0MiB live, 316.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072510141
124699069
082028768
Stop Event
iter limit
node limit
Counts
141 → 141
Calls
Call 1
Inputs
(* -64 (/ (pow y 4) (* (pow x 4) (+ 1 (* 8 (exp (- (* 2 (log y)) (* 2 (log x)))))))))
(/ (- (* 1/8 (/ (pow x 6) (pow y 2))) (* 64 (/ (pow y 4) (+ 1 (* 8 (exp (- (* 2 (log y)) (* 2 (log x))))))))) (pow x 4))
(/ (- (* (pow x 6) (+ (* -1/64 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))) (* 64 (/ (pow y 4) (+ 1 (* 8 (exp (- (* 2 (log y)) (* 2 (log x))))))))) (pow x 4))
(/ (- (* (pow x 6) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow y 6))) (* 1/64 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))) (* 64 (/ (pow y 4) (+ 1 (* 8 (exp (- (* 2 (log y)) (* 2 (log x))))))))) (pow x 4))
(exp (- (* 2 (log y)) (* 2 (log x))))
(- (* 2 (log y)) (* 2 (log x)))
(* 8 (/ (pow y 2) (pow x 2)))
(/ (+ (* 8 (pow y 2)) (pow x 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)
(* 1/2 (/ x (pow y 2)))
(* 1/2 x)
(* -8 (/ (pow y 2) (pow x 2)))
(/ -8 (pow x 2))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(/ (- (pow x 2) (* 8 (pow y 2))) (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow y 2))) (* 8 (/ (+ (* 1/2 (+ (exp (+ (log (pow y 4)) (* -4 (log x)))) (/ 1 (exp (+ (log (pow y 4)) (* -4 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 4)) (* -4 (log x)))) (/ 1 (exp (+ (log (pow y 4)) (* -4 (log x)))))))) (pow y 2)))))
(* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1 (/ (+ (* 1/2 (+ (exp (+ (log (pow y 4)) (* -4 (log x)))) (/ 1 (exp (+ (log (pow y 4)) (* -4 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 4)) (* -4 (log x)))) (/ 1 (exp (+ (log (pow y 4)) (* -4 (log x)))))))) (pow y 4))) (* 1/64 (/ 1 (pow y 4)))))) (* 1/8 (/ 1 (pow y 2)))) (* 8 (/ (+ (* 1/2 (+ (exp (+ (log (pow y 4)) (* -4 (log x)))) (/ 1 (exp (+ (log (pow y 4)) (* -4 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 4)) (* -4 (log x)))) (/ 1 (exp (+ (log (pow y 4)) (* -4 (log x)))))))) (pow y 2)))))
(* (pow x 2) (- (+ (* 1/8 (/ 1 (pow y 2))) (* (pow x 2) (- (* (pow x 2) (- (* 1/512 (/ 1 (pow y 6))) (* 1/8 (/ (+ (* 1/2 (+ (exp (+ (log (pow y 4)) (* -4 (log x)))) (/ 1 (exp (+ (log (pow y 4)) (* -4 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 4)) (* -4 (log x)))) (/ 1 (exp (+ (log (pow y 4)) (* -4 (log x)))))))) (pow y 6))))) (+ (* -1 (/ (+ (* 1/2 (+ (exp (+ (log (pow y 4)) (* -4 (log x)))) (/ 1 (exp (+ (log (pow y 4)) (* -4 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 4)) (* -4 (log x)))) (/ 1 (exp (+ (log (pow y 4)) (* -4 (log x)))))))) (pow y 4))) (* 1/64 (/ 1 (pow y 4))))))) (* 8 (/ (+ (* 1/2 (+ (exp (+ (log (pow y 4)) (* -4 (log x)))) (/ 1 (exp (+ (log (pow y 4)) (* -4 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 4)) (* -4 (log x)))) (/ 1 (exp (+ (log (pow y 4)) (* -4 (log x)))))))) (pow y 2)))))
(* (pow x 2) (- (+ (* 1/8 (/ 1 (pow y 2))) (* (pow x 2) (- (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1/64 (/ (+ (* 1/2 (+ (exp (+ (log (pow y 4)) (* -4 (log x)))) (/ 1 (exp (+ (log (pow y 4)) (* -4 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 4)) (* -4 (log x)))) (/ 1 (exp (+ (log (pow y 4)) (* -4 (log x)))))))) (pow y 8))) (* 1/4096 (/ 1 (pow y 8)))))) (* 1/512 (/ 1 (pow y 6)))) (* 1/8 (/ (+ (* 1/2 (+ (exp (+ (log (pow y 4)) (* -4 (log x)))) (/ 1 (exp (+ (log (pow y 4)) (* -4 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 4)) (* -4 (log x)))) (/ 1 (exp (+ (log (pow y 4)) (* -4 (log x)))))))) (pow y 6))))) (+ (* -1 (/ (+ (* 1/2 (+ (exp (+ (log (pow y 4)) (* -4 (log x)))) (/ 1 (exp (+ (log (pow y 4)) (* -4 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 4)) (* -4 (log x)))) (/ 1 (exp (+ (log (pow y 4)) (* -4 (log x)))))))) (pow y 4))) (* 1/64 (/ 1 (pow y 4))))))) (* 8 (/ (+ (* 1/2 (+ (exp (+ (log (pow y 4)) (* -4 (log x)))) (/ 1 (exp (+ (log (pow y 4)) (* -4 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 4)) (* -4 (log x)))) (/ 1 (exp (+ (log (pow y 4)) (* -4 (log x)))))))) (pow y 2)))))
(+ (* 1/2 (+ (exp (+ (log (pow y 4)) (* -4 (log x)))) (/ 1 (exp (+ (log (pow y 4)) (* -4 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 4)) (* -4 (log x)))) (/ 1 (exp (+ (log (pow y 4)) (* -4 (log x))))))))
(* 64 (/ (pow y 4) (* (pow x 4) (+ 1 (* 8 (exp (- (* 2 (log y)) (* 2 (log x)))))))))
(/ 8 (pow x 2))
(/ (+ (* -1 (pow x 2)) (* 8 (pow y 2))) (pow x 2))
(/ (+ (* 8 (pow y 2)) (* (pow x 2) (- (* 1/8 (/ (pow x 2) (pow y 2))) 1))) (pow x 2))
(/ (+ (* 8 (pow y 2)) (* (pow x 2) (- (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))) 1))) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 4) (pow x 4))
(+ (log (pow y 4)) (* -4 (log x)))
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Outputs
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(/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (*.f64 y y)) (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))))) (pow.f64 y #s(literal 4 binary64))))) (*.f64 y y))
(/ (+ (* -1 (/ (* (pow x 4) (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))))) (pow y 2))) (+ (* -1/64 (/ (* (pow x 8) (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))))) (pow y 6))) (+ (* 1/8 (/ (* (pow x 6) (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))))) (pow y 4))) (* 8 (* (pow x 2) (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 4))) (* -4 (log (/ -1 y)))))))))))))) (pow y 2))
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1/64 binary64) (fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (*.f64 y y)) (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))))) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 y y))

rewrite293.0ms (3.6%)

Memory
-2.0MiB live, 332.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069550
0111458
1420336
23310336
010150319
Stop Event
iter limit
node limit
iter limit
Counts
26 → 709
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))))))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))))))))
(/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))))))
(/.f64 #s(literal 8 binary64) (*.f64 x x))
(/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
(log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
(/.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))))
(/.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #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 6 binary64)) #s(literal 512 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64)))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 262144 binary64) (pow.f64 (/.f64 y x) #s(literal 12 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) (*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
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(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal 4 binary64) (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)))))))
(/.f64 (neg.f64 (*.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)))) #s(literal 3 binary64))) #s(literal 64 binary64)) (*.f64 (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal 4 binary64) (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)))))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 64 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))))

eval116.0ms (1.4%)

Memory
-18.6MiB live, 162.1MiB allocated
Compiler

Compiled 60 603 to 4 296 computations (92.9% saved)

prune24.0ms (0.3%)

Memory
18.5MiB live, 63.7MiB allocated
Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New7825787
Fresh000
Picked415
Done055
Total78611797
Accuracy
99.7%
Counts
797 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.8%
(/.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)))
52.2%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
51.6%
#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)))
48.2%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
50.7%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #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 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64)))))
50.7%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))))))))
50.7%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 y x))))))))))
14.7%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 4 binary64))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
44.3%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) (*.f64 y y) #s(literal 1 binary64))))
50.1%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
50.5%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Compiler

Compiled 1 269 to 370 computations (70.8% saved)

regimes29.0ms (0.4%)

Memory
-5.2MiB live, 40.7MiB allocated
Counts
21 → 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))) #s(approx (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y)))))
#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 x (/.f64 x y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 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 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(/.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 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #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 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 4 binary64))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 y 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 (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))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
Calls

5 calls:

6.0ms
y
6.0ms
x
6.0ms
(/.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)))
5.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) y)
5.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
84.6%3(*.f64 (*.f64 y #s(literal 4 binary64)) y)
81.6%3(*.f64 x x)
77.7%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)))
81.6%3x
84.6%3y
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes14.0ms (0.2%)

Memory
23.4MiB live, 23.4MiB allocated
Counts
9 → 2
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))) #s(approx (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y)))))
#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 x (/.f64 x y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 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)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
Calls

5 calls:

3.0ms
y
3.0ms
x
3.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) y)
2.0ms
(*.f64 x x)
2.0ms
(/.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
77.4%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)))
75.7%2(*.f64 x x)
75.7%2x
76.8%2(*.f64 (*.f64 y #s(literal 4 binary64)) y)
76.8%2y
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes9.0ms (0.1%)

Memory
-47.7MiB live, 9.4MiB allocated
Counts
8 → 2
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))) #s(approx (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y)))))
#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 x (/.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)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
Calls

2 calls:

6.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) y)
3.0ms
y
Results
AccuracySegmentsBranch
76.7%2(*.f64 (*.f64 y #s(literal 4 binary64)) y)
76.7%2y
Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes6.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
7 → 2
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))) #s(approx (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y)))))
#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)))
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)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
Calls

2 calls:

3.0ms
y
2.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) y)
Results
AccuracySegmentsBranch
76.5%2(*.f64 (*.f64 y #s(literal 4 binary64)) y)
76.5%2y
Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes5.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
6 → 2
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))) #s(approx (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y 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))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
Calls

2 calls:

2.0ms
y
2.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) y)
Results
AccuracySegmentsBranch
76.1%2(*.f64 (*.f64 y #s(literal 4 binary64)) y)
76.1%2y
Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes7.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Counts
3 → 2
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))) #s(approx (- (/ 1 (+ 1 (* 8 (pow (/ y x) 2)))) (/ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) (*.f64 y 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))
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
74.5%2(*.f64 x x)
74.5%2x
76.3%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)))
75.6%2(*.f64 (*.f64 y #s(literal 4 binary64)) y)
75.6%2y
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes5.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB 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
50.5%1(*.f64 x x)
50.5%1x
50.5%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)))
50.5%1(*.f64 (*.f64 y #s(literal 4 binary64)) y)
50.5%1y
Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch22.0ms (0.3%)

Memory
-19.6MiB live, 26.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
2.6221969172375584e+101
1.692519222313258e+102
10.0ms
6.1936032197830295e-146
5.564471062506093e-145
Samples
11.0ms192×0valid
Compiler

Compiled 592 to 356 computations (39.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (45.6% of total)
ival-sub: 1.0ms (15.2% of total)
ival-div: 1.0ms (15.2% of total)
ival-add: 1.0ms (15.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
1.6314265362514389e-62
1.5233025117312042e-61
Samples
5.0ms96×0valid
Compiler

Compiled 388 to 212 computations (45.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (62.3% of total)
ival-div: 1.0ms (31.1% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.6314265362514389e-62
1.5233025117312042e-61
Compiler

Compiled 382 to 212 computations (44.5% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.6314265362514389e-62
1.5233025117312042e-61
Compiler

Compiled 382 to 212 computations (44.5% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.6314265362514389e-62
1.5233025117312042e-61
Compiler

Compiled 328 to 188 computations (42.7% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.6314265362514389e-62
1.5233025117312042e-61
Compiler

Compiled 274 to 158 computations (42.3% saved)

simplify23.0ms (0.3%)

Memory
-18.3MiB live, 27.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053401
172401
2125401
3238401
4447401
5661401
6911401
7923401
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal 6467188579655845/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 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 y #s(literal 1499999999999999903408865346644674673247483061533619996637975112429525498213187755309954815155595378688 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))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal 5558020283391177/231584178474632390847141970017375815706539969331281128078915168015826259279872 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))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal 5558020283391177/231584178474632390847141970017375815706539969331281128078915168015826259279872 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 x (/.f64 x y)) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 5558020283391177/231584178474632390847141970017375815706539969331281128078915168015826259279872 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 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 5558020283391177/231584178474632390847141970017375815706539969331281128078915168015826259279872 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 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 5558020283391177/231584178474632390847141970017375815706539969331281128078915168015826259279872 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 y #s(literal 6467188579655845/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 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 y #s(literal 1499999999999999903408865346644674673247483061533619996637975112429525498213187755309954815155595378688 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))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal 5558020283391177/231584178474632390847141970017375815706539969331281128078915168015826259279872 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))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal 5558020283391177/231584178474632390847141970017375815706539969331281128078915168015826259279872 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 x (/.f64 x y)) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 5558020283391177/231584178474632390847141970017375815706539969331281128078915168015826259279872 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 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 5558020283391177/231584178474632390847141970017375815706539969331281128078915168015826259279872 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 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 5558020283391177/231584178474632390847141970017375815706539969331281128078915168015826259279872 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))

soundness1.0s (12.6%)

Memory
21.1MiB live, 615.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043266
069243
1261220
21855220
08254217
031188
048184
1178172
21268172
08601170
0940
01540
15240
238240
0562336
0130500
1368466
21228422
37033418
08248388
0115440
1326402
21092358
36285354
08250332
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 665 to 203 computations (69.5% saved)

preprocess112.0ms (1.4%)

Memory
-8.5MiB live, 97.7MiB allocated
Remove

(abs x)

Compiler

Compiled 1 518 to 388 computations (74.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...