Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, B

Time bar (total: 7.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze41.0ms (0.5%)

Memory
37.9MiB live, 37.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.4s (17.8%)

Memory
36.5MiB live, 1 675.2MiB allocated
Samples
880.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 625.0ms
ival-mult: 282.0ms (45.1% of total)
ival-div: 192.0ms (30.7% of total)
ival-sub: 133.0ms (21.3% of total)
exact: 9.0ms (1.4% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain120.0ms (1.6%)

Memory
-2.3MiB live, 188.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-z
00-0-#s(literal 4 binary64)
00-0-(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
00-0-y
00-0-(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
00-0-(*.f64 z #s(literal 1/2 binary64))
00-0-(-.f64 x y)
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
36.0ms512×0valid
Compiler

Compiled 91 to 34 computations (62.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sub: 8.0ms (42% of total)
ival-mult: 7.0ms (36.7% of total)
ival-div: 4.0ms (21% of total)
exact: 1.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess273.0ms (3.6%)

Memory
-13.1MiB live, 136.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039109
196103
2292103
378385
4196485
5288785
6402285
7517585
8624985
9731985
01011
01511
12411
25411
31249
42849
54759
66759
79279
812339
915059
1016789
1119859
1223939
1327809
1430309
1533889
1636619
1739489
1841599
1942659
2043109
2143449
2244159
2345419
2445959
2546239
2646559
2747079
047078
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64))
Compiler

Compiled 11 to 10 computations (9.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify175.0ms (2.3%)

Memory
20.4MiB live, 63.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x y)
cost-diff0
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
cost-diff1
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
cost-diff2
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
01538
12438
25438
312436
428436
547536
667536
792736
8123336
9150536
10167836
11198536
12239336
13278036
14303036
15338836
16366136
17394836
18415936
19426536
20431036
21434436
22441536
23454136
24459536
25462336
26465536
27470736
0470733
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
#s(literal 4 binary64)
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
(-.f64 x y)
x
y
(*.f64 z #s(literal 1/2 binary64))
z
#s(literal 1/2 binary64)
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
(-.f64 x y)
x
y
(*.f64 z #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) z)
z
#s(literal 1/2 binary64)

localize77.0ms (1%)

Memory
1.8MiB live, 44.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x y)
accuracy0.0
(*.f64 z #s(literal 1/2 binary64))
accuracy0.0
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
accuracy0.015625
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Samples
71.0ms256×0valid
Compiler

Compiled 40 to 12 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-div: 54.0ms (90.6% of total)
ival-sub: 3.0ms (5% of total)
ival-mult: 3.0ms (5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series43.0ms (0.6%)

Memory
-25.8MiB live, 17.7MiB allocated
Counts
5 → 50
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
(-.f64 x y)
(*.f64 z #s(literal 1/2 binary64))
Outputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -1 (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* -1 y)
(- x y)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (/ y x) 1)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(- x (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ x (* -1 y))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (/ x y) 1))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(- (+ x (* -1/2 z)) y)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(* 1/2 z)
-2
(- (* 4 (/ (- x y) z)) 2)
(* -1/2 z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
Calls

9 calls:

TimeVariablePointExpression
33.0ms
y
@inf
((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
2.0ms
z
@-inf
((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms
y
@-inf
((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms
x
@0
((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms
x
@inf
((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))

simplify179.0ms (2.3%)

Memory
9.6MiB live, 153.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127437
1408403
21361386
34687386
08202350
Stop Event
iter limit
node limit
Counts
50 → 49
Calls
Call 1
Inputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -1 (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* -1 y)
(- x y)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (/ y x) 1)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(- x (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ x (* -1 y))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (/ x y) 1))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(- (+ x (* -1/2 z)) y)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(* 1/2 z)
-2
(- (* 4 (/ (- x y) z)) 2)
(* -1/2 z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
Outputs
(* -4 (/ (+ y (* 1/2 z)) z))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* -1 (+ y (* 1/2 z)))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) z y))
(- x (+ y (* 1/2 z)))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -4 (+ y (* 1/2 z)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)) x)
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 4 binary64)) #s(literal 4 binary64)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* 4 (/ (- x (* 1/2 z)) z))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- x (* 1/2 z))
(fma.f64 #s(literal -1/2 binary64) z x)
(- (+ x (* -1 y)) (* 1/2 z))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* 4 (- x (* 1/2 z)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z x) #s(literal 4 binary64))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)))
(+ x (* -1 y))
(-.f64 x y)
(* -4 (/ y z))
(*.f64 (/.f64 y z) #s(literal -4 binary64))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x z)) y) #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) z)) y)
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) y (neg.f64 y))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64) #s(literal -4 binary64)) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x z)) y) #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) z)) y)
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) y (neg.f64 y))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64) #s(literal -4 binary64)) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* 4 (/ (- x y) z))
(*.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (+ x (* -1/2 z)) y)
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* 4 (- x y))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(+ (* -2 z) (* 4 (- x y)))
(*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)))
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
-2
#s(literal -2 binary64)
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -2 z)
(*.f64 #s(literal -2 binary64) z)
(* z (- (* 4 (/ (- x y) z)) 2))
(*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)))

rewrite415.0ms (5.4%)

Memory
27.0MiB live, 214.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01033
01533
15133
238633
3495833
0888430
Stop Event
iter limit
node limit
iter limit
Counts
5 → 180
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
(-.f64 x y)
(*.f64 z #s(literal 1/2 binary64))
Outputs
(*.f64 (/.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)))
(*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (neg.f64 z)))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) (/.f64 #s(literal 4 binary64) (neg.f64 z)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) z) #s(literal 4 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (/.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) z))
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(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 y (/.f64 y (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (neg.f64 (-.f64 x y)))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (neg.f64 (-.f64 x y))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(neg.f64 (neg.f64 (-.f64 x y)))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 x (/.f64 x (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(-.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 x y)
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (-.f64 x y)))
(+.f64 (cosh.f64 (log.f64 (-.f64 x y))) (sinh.f64 (log.f64 (-.f64 x y))))
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(*.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 z #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) z))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) z)))
(+.f64 (cosh.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) z))) (sinh.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) z))))

eval50.0ms (0.6%)

Memory
-6.2MiB live, 96.6MiB allocated
Compiler

Compiled 5 593 to 942 computations (83.2% saved)

prune219.0ms (2.9%)

Memory
-8.8MiB live, 32.6MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New20010210
Fresh000
Picked101
Done000
Total20110211
Accuracy
100.0%
Counts
211 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.5%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64) #s(literal -4 binary64)) y)) z)
73.7%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z)
64.4%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
27.9%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
40.1%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
61.9%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
73.6%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
99.8%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
94.9%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x z)) y) #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) z)) y))
35.2%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
Compiler

Compiled 366 to 300 computations (18% saved)

simplify163.0ms (2.1%)

Memory
12.4MiB live, 96.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

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

Useful iterations: 7 (0.0ms)

IterNodesCost
027166
040159
160159
2113159
3236156
4502156
5812156
61095156
71505153
82232153
92906153
103260153
113665153
123803153
133917153
143966153
154036153
164153153
174201153
184240153
194277153
204316153
04316153
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(-.f64 y x)
y
x
(/.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
#s(literal -2 binary64)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
x
z
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
z
x
#s(literal -2 binary64)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
(fma.f64 #s(literal 1/2 binary64) z y)
#s(literal 1/2 binary64)
z
y
#s(literal -4 binary64)
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64)))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64))
(-.f64 y x)
y
x
(/.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
#s(literal -2 binary64)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) x)
(*.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
x
z
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
z
x
#s(literal -2 binary64)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
(fma.f64 #s(literal 1/2 binary64) z y)
#s(literal 1/2 binary64)
z
y
#s(literal -4 binary64)

localize93.0ms (1.2%)

Memory
5.1MiB live, 69.1MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 #s(literal 1/2 binary64) z y)
accuracy0.0
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
accuracy0.015625
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z)
accuracy17.19215607003086
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)))
accuracy0.0
(/.f64 #s(literal 4 binary64) z)
accuracy0.1015625
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
accuracy24.315270779242184
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
accuracy0.0
(*.f64 #s(literal 4 binary64) x)
accuracy0.015625
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
accuracy46.774824691862115
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
accuracy41.48995664472484
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
accuracy0.0
(/.f64 #s(literal -4 binary64) z)
accuracy0.0
(-.f64 y x)
accuracy0.0
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
accuracy0.14453125
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
Samples
49.0ms256×0valid
Compiler

Compiled 132 to 25 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 11.0ms (46.1% of total)
ival-div: 5.0ms (21% of total)
ival-sub: 4.0ms (16.8% of total)
ival-add: 3.0ms (12.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory
-18.0MiB live, 27.6MiB allocated
Counts
15 → 63
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(-.f64 y x)
(/.f64 #s(literal -4 binary64) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal 4 binary64) x)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
(fma.f64 #s(literal 1/2 binary64) z y)
Outputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(- (* -4 (/ y z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
y
(+ y (* -1 x))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* 4 x)
-2
(- (* 4 (/ x z)) 2)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* -1 x)
(* x (- (/ y x) 1))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(- y x)
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(* -2 z)
(+ (* -4 y) (* -2 z))
(* 1/2 z)
(+ y (* 1/2 z))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (+ 1 (* -1 (/ x y))))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* -2 (/ z y)) 4))
(* y (+ 1 (* 1/2 (/ z y))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* 2 (/ z y)))))
(* -1 (* y (- (* -1/2 (/ z y)) 1)))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* -4 (/ (- y x) z))
(/ (+ (* -4 (- y x)) (* -2 z)) z)
(/ -4 z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(/ (+ (* -2 z) (* 4 x)) z)
(/ 4 z)
(- (* 4 (/ (- x y) z)) 2)
(- (* -4 (/ (- y x) z)) 2)
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* -4 (/ y z)) 2))
(* z (+ 1/2 (/ y z)))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* 4 (/ y z)))))
(* -1 (* z (- (* -1 (/ y z)) 1/2)))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
z
@inf
((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- y x) (/ -4 z)) -2) (- y x) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (+ (* 1/2 z) y) -4) (+ (* 1/2 z) y))
2.0ms
x
@inf
((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- y x) (/ -4 z)) -2) (- y x) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (+ (* 1/2 z) y) -4) (+ (* 1/2 z) y))
2.0ms
z
@0
((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- y x) (/ -4 z)) -2) (- y x) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (+ (* 1/2 z) y) -4) (+ (* 1/2 z) y))
2.0ms
x
@0
((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- y x) (/ -4 z)) -2) (- y x) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (+ (* 1/2 z) y) -4) (+ (* 1/2 z) y))
2.0ms
x
@-inf
((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- y x) (/ -4 z)) -2) (- y x) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (+ (* 1/2 z) y) -4) (+ (* 1/2 z) y))

simplify138.0ms (1.8%)

Memory
-17.2MiB live, 216.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0168582
1511544
21614515
35616515
08211471
Stop Event
iter limit
node limit
Counts
63 → 62
Calls
Call 1
Inputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(- (* -4 (/ y z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
y
(+ y (* -1 x))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* 4 x)
-2
(- (* 4 (/ x z)) 2)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* -1 x)
(* x (- (/ y x) 1))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(- y x)
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(* -2 z)
(+ (* -4 y) (* -2 z))
(* 1/2 z)
(+ y (* 1/2 z))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (+ 1 (* -1 (/ x y))))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* -2 (/ z y)) 4))
(* y (+ 1 (* 1/2 (/ z y))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* 2 (/ z y)))))
(* -1 (* y (- (* -1/2 (/ z y)) 1)))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* -4 (/ (- y x) z))
(/ (+ (* -4 (- y x)) (* -2 z)) z)
(/ -4 z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(/ (+ (* -2 z) (* 4 x)) z)
(/ 4 z)
(- (* 4 (/ (- x y) z)) 2)
(- (* -4 (/ (- y x) z)) 2)
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* -4 (/ y z)) 2))
(* z (+ 1/2 (/ y z)))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* 4 (/ y z)))))
(* -1 (* z (- (* -1 (/ y z)) 1/2)))
Outputs
(* -4 (/ (+ y (* 1/2 z)) z))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64))
y
(+ y (* -1 x))
(-.f64 y x)
(* -4 (+ y (* 1/2 z)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
-2
#s(literal -2 binary64)
(- (* 4 (/ x z)) 2)
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -4 binary64) z)) x)
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(*.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 4 binary64)) #s(literal 4 binary64)) (neg.f64 x))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -4 binary64) z)) x)
(* 4 (/ (- x (* 1/2 z)) z))
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64))
(- y x)
(-.f64 y x)
(* 4 (- x (* 1/2 z)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z x) #s(literal 4 binary64))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64))
(* -2 z)
(*.f64 #s(literal -2 binary64) z)
(+ (* -4 y) (* -2 z))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(+ y (* 1/2 z))
(fma.f64 #s(literal 1/2 binary64) z y)
(* -4 (/ y z))
(*.f64 (/.f64 y z) #s(literal -4 binary64))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y)
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y)
(* y (+ 1 (* -1 (/ x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(*.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64)) #s(literal 4 binary64)) y)
(* y (- (* -2 (/ z y)) 4))
(*.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) z) #s(literal 4 binary64)) y)
(* y (+ 1 (* 1/2 (/ z y))))
(*.f64 (fma.f64 (/.f64 z y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y)
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y)
(* -1 (* y (- (/ x y) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal -1/2 binary64) z x) #s(literal -4 binary64)) y)
(* -1 (* y (+ 4 (* 2 (/ z y)))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) z #s(literal -4 binary64)) y)
(* -1 (* y (- (* -1/2 (/ z y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) #s(literal 1 binary64)))
(* 4 (/ (- x y) z))
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64))
(* -4 (/ (- y x) z))
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64))
(/ (+ (* -4 (- y x)) (* -2 z)) z)
(fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64))
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(* 4 (- x y))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(+ (* -2 z) (* 4 (- x y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64))
(/ (+ (* -2 z) (* 4 x)) z)
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64))
(- (* -4 (/ (- y x) z)) 2)
(fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64))
(* z (- (* 4 (/ (- x y) z)) 2))
(*.f64 (fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64)) z)
(* z (- (* -4 (/ y z)) 2))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
(* z (+ 1/2 (/ y z)))
(fma.f64 #s(literal 1/2 binary64) z y)
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(*.f64 (fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64)) z)
(* -1 (* z (+ 2 (* 4 (/ y z)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
(* -1 (* z (- (* -1 (/ y z)) 1/2)))
(*.f64 (neg.f64 z) (-.f64 (/.f64 (neg.f64 y) z) #s(literal 1/2 binary64)))

rewrite174.0ms (2.3%)

Memory
29.5MiB live, 316.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027149
040142
1141142
2939142
08463142
Stop Event
iter limit
node limit
iter limit
Counts
15 → 180
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(-.f64 y x)
(/.f64 #s(literal -4 binary64) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal 4 binary64) x)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
(fma.f64 #s(literal 1/2 binary64) z y)
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x)) #s(literal -2 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x)) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x)) #s(literal -2 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (-.f64 y x) #s(literal 8 binary64)) z)) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 y x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (-.f64 y x) #s(literal 8 binary64)) z)) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 y x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal -8 binary64) (+.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (-.f64 y x) #s(literal 8 binary64)) z)) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 y x)) #s(literal 2 binary64)))) (/.f64 #s(literal -8 binary64) (+.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (-.f64 y x) #s(literal 8 binary64)) z)) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 y x)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (-.f64 y x) #s(literal 8 binary64)) z)) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 y x)) #s(literal 2 binary64)))) (/.f64 #s(literal -8 binary64) (+.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (-.f64 y x) #s(literal 8 binary64)) z)) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 y x)) #s(literal 2 binary64))))))
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(/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (neg.f64 y)))) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y))
(/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y))))
(/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1/2 binary64) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) #s(literal -4 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal -4 binary64) (*.f64 y #s(literal -4 binary64)))
(fma.f64 #s(literal -2 binary64) z (*.f64 #s(literal -4 binary64) y))
(fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))))))
(fma.f64 #s(literal -4 binary64) (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal -4 binary64) y))
(fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal -2 binary64) z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -4 binary64)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 z #s(literal -2 binary64) (*.f64 y #s(literal -4 binary64)))
(fma.f64 y #s(literal -4 binary64) (*.f64 z #s(literal -2 binary64)))
(-.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 (neg.f64 y) #s(literal -4 binary64)))
(-.f64 (*.f64 y #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal -4 binary64)))
(-.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 #s(literal 4 binary64) y))
(-.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) z)))
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) #s(literal -4 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) #s(literal -4 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))))) (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))))))
(+.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 y #s(literal -4 binary64)))
(+.f64 (*.f64 y #s(literal -4 binary64)) (*.f64 z #s(literal -2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 #s(literal -4 binary64) y))
(+.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))))))))
(/.f64 (neg.f64 (fma.f64 y y (*.f64 #s(literal -1/4 binary64) (*.f64 z z)))) (neg.f64 (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (*.f64 y y))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) y) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))))
(/.f64 (fma.f64 y y (*.f64 #s(literal -1/4 binary64) (*.f64 z z))) (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))
(/.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (*.f64 y y)) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (neg.f64 y))) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (*.f64 #s(literal -1/2 binary64) z)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (*.f64 y y)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (neg.f64 y))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) y))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))))))
(fma.f64 #s(literal 1/2 binary64) z y)
(fma.f64 z #s(literal 1/2 binary64) y)
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 #s(literal 1/2 binary64) z))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)))
(-.f64 y (*.f64 #s(literal -1/2 binary64) z))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 y y (*.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 y y (*.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) z) y)
(+.f64 y (*.f64 #s(literal -1/2 binary64) (neg.f64 z)))
(+.f64 y (*.f64 #s(literal 1/2 binary64) z))

eval29.0ms (0.4%)

Memory
-16.1MiB live, 74.0MiB allocated
Compiler

Compiled 8 378 to 1 000 computations (88.1% saved)

prune8.0ms (0.1%)

Memory
32.2MiB live, 32.2MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New2202222
Fresh235
Picked145
Done000
Total2239232
Accuracy
100.0%
Counts
232 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.7%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z)
64.4%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
27.9%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
40.1%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
62.0%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
73.6%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
99.8%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
94.9%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y))
35.2%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
Compiler

Compiled 254 to 210 computations (17.3% saved)

simplify353.0ms (4.6%)

Memory
-7.9MiB live, 136.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x y)
cost-diff0
(*.f64 (-.f64 x y) #s(literal 4 binary64))
cost-diff0
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64)))
cost-diff0
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
cost-diff0
(/.f64 x z)
cost-diff0
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
cost-diff0
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
cost-diff0
(/.f64 #s(literal -4 binary64) z)
cost-diff0
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
cost-diff0
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
cost-diff0
(*.f64 #s(literal -4 binary64) y)
cost-diff0
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
cost-diff0
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
cost-diff0
(/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)
cost-diff0
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y))
cost-diff1
(fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z))
cost-diff5
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030216
046216
172216
2133216
3274210
4616208
51057200
61737200
74977200
08193190
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y)
(fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z))
(/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)
(-.f64 (/.f64 x z) #s(literal 1/2 binary64))
(/.f64 x z)
x
z
#s(literal 1/2 binary64)
y
#s(literal 4 binary64)
(/.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(/.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
#s(literal -2 binary64)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(/.f64 x z)
x
z
#s(literal 4 binary64)
#s(literal -2 binary64)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64)))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(-.f64 x y)
x
y
#s(literal 4 binary64)
z
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z x) (/.f64 #s(literal 4 binary64) y) #s(literal -4 binary64)) z)
(/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)
(-.f64 (/.f64 x z) #s(literal 1/2 binary64))
(/.f64 x z)
x
z
#s(literal 1/2 binary64)
y
#s(literal 4 binary64)
(/.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(/.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
#s(literal -2 binary64)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(/.f64 x z)
x
z
#s(literal 4 binary64)
#s(literal -2 binary64)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64)))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(-.f64 x y)
x
y
#s(literal 4 binary64)
z

localize76.0ms (1%)

Memory
8.9MiB live, 197.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x y)
accuracy0.0
(*.f64 (-.f64 x y) #s(literal 4 binary64))
accuracy0.015625
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
accuracy22.946559012276566
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64)))
accuracy0.0
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
accuracy0.0
(/.f64 x z)
accuracy24.315270779242184
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
accuracy0.0
(/.f64 #s(literal -4 binary64) z)
accuracy0.14453125
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
accuracy16.804348293402136
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
accuracy0.0
(*.f64 #s(literal -4 binary64) y)
accuracy0.015625
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
accuracy38.88812518093397
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
accuracy0.0
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y))
accuracy0.0078125
(fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z))
accuracy2.552013369597315
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y)
accuracy3.13299234888748
(/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)
Samples
51.0ms256×0valid
Compiler

Compiled 173 to 27 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 14.0ms (40.7% of total)
ival-add: 9.0ms (26.2% of total)
ival-div: 7.0ms (20.4% of total)
ival-sub: 4.0ms (11.6% of total)
exact: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series45.0ms (0.6%)

Memory
-4.1MiB live, 41.8MiB allocated
Counts
17 → 80
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y)
(fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y))
(/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) y)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(/.f64 #s(literal -4 binary64) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(/.f64 x z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64)))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(-.f64 x y)
Outputs
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(+ (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) (* 4 (/ x z)))
(* -1 (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))
(- (* 4 (/ x (* y z))) (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(/ -1/2 y)
(- (/ x (* y z)) (* 1/2 (/ 1 y)))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
-2
(- (* 4 (/ x z)) 2)
(/ x z)
(* -4 y)
(+ (* -4 y) (* 4 x))
(* -1 y)
(- x y)
(* 4 (/ x z))
(* x (+ (* -1 (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) x)) (* 4 (/ 1 z))))
(* 4 (/ x (* y z)))
(* x (+ (* -1 (/ (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))) x)) (* 4 (/ 1 (* y z)))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(/ x (* y z))
(* x (- (/ 1 (* y z)) (* 1/2 (/ 1 (* x y)))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* x (+ 4 (* -4 (/ y x))))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) x) (* 4 (/ 1 z)))))
(* -1 (* x (- (+ (/ 2 (* x y)) (/ 4 (* x z))) (* 4 (/ 1 (* y z))))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 1/2 (/ 1 (* x y))) (/ 1 (* y z)))))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* -1 (* x (- (/ y x) 1)))
(* 4 (- (/ x z) 1/2))
(+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2)))
(* 4 (/ (- (/ x z) 1/2) y))
(/ (+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2))) y)
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(/ (- (/ x z) 1/2) y)
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(- (* -4 (/ y z)) 2)
(+ x (* -1 y))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(/ -4 z)
(- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ x y)) 4))
(* y (- (/ x y) 1))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(/ (* y (- (* 4 (/ x y)) 4)) z)
(/ (+ (* -2 z) (* y (- (* 4 (/ x y)) 4))) z)
(/ (- (* 4 (/ x y)) 4) z)
(/ (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4) z)
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -1/2 (/ z y)) (/ x y)) z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ (* -2 z) (* 4 x)) z)
(- (/ (* y (- (* 4 (/ x y)) 4)) z) 2)
(/ -2 y)
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(- (* -1 (/ (* y (+ 4 (* -4 (/ x y)))) z)) 2)
(- (* -1 (/ (+ 4 (* -4 (/ x y))) z)) (* 2 (/ 1 y)))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
Calls

9 calls:

TimeVariablePointExpression
25.0ms
x
@inf
((* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (- (/ x z) 1/2) y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- x y) 4) (- x y))
3.0ms
x
@-inf
((* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (- (/ x z) 1/2) y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- x y) 4) (- x y))
2.0ms
y
@-inf
((* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (- (/ x z) 1/2) y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- x y) 4) (- x y))
2.0ms
y
@inf
((* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (- (/ x z) 1/2) y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- x y) 4) (- x y))
2.0ms
y
@0
((* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (- (/ x z) 1/2) y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- x y) 4) (- x y))

simplify189.0ms (2.5%)

Memory
-11.0MiB live, 165.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0193806
1592752
21898667
37275667
08127616
Stop Event
iter limit
node limit
Counts
80 → 79
Calls
Call 1
Inputs
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(+ (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) (* 4 (/ x z)))
(* -1 (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))
(- (* 4 (/ x (* y z))) (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(/ -1/2 y)
(- (/ x (* y z)) (* 1/2 (/ 1 y)))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
-2
(- (* 4 (/ x z)) 2)
(/ x z)
(* -4 y)
(+ (* -4 y) (* 4 x))
(* -1 y)
(- x y)
(* 4 (/ x z))
(* x (+ (* -1 (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) x)) (* 4 (/ 1 z))))
(* 4 (/ x (* y z)))
(* x (+ (* -1 (/ (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))) x)) (* 4 (/ 1 (* y z)))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(/ x (* y z))
(* x (- (/ 1 (* y z)) (* 1/2 (/ 1 (* x y)))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* x (+ 4 (* -4 (/ y x))))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) x) (* 4 (/ 1 z)))))
(* -1 (* x (- (+ (/ 2 (* x y)) (/ 4 (* x z))) (* 4 (/ 1 (* y z))))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 1/2 (/ 1 (* x y))) (/ 1 (* y z)))))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* -1 (* x (- (/ y x) 1)))
(* 4 (- (/ x z) 1/2))
(+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2)))
(* 4 (/ (- (/ x z) 1/2) y))
(/ (+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2))) y)
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(/ (- (/ x z) 1/2) y)
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(- (* -4 (/ y z)) 2)
(+ x (* -1 y))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(/ -4 z)
(- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ x y)) 4))
(* y (- (/ x y) 1))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(/ (* y (- (* 4 (/ x y)) 4)) z)
(/ (+ (* -2 z) (* y (- (* 4 (/ x y)) 4))) z)
(/ (- (* 4 (/ x y)) 4) z)
(/ (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4) z)
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -1/2 (/ z y)) (/ x y)) z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ (* -2 z) (* 4 x)) z)
(- (/ (* y (- (* 4 (/ x y)) 4)) z) 2)
(/ -2 y)
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(- (* -1 (/ (* y (+ 4 (* -4 (/ x y)))) z)) 2)
(- (* -1 (/ (+ 4 (* -4 (/ x y))) z)) (* 2 (/ 1 y)))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
Outputs
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(+ (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) (* 4 (/ x z)))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(* -1 (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))
(-.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 #s(literal 4 binary64) z))
(- (* 4 (/ x (* y z))) (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))
(fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z))
(* -4 (/ (+ y (* 1/2 z)) z))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(/ -1/2 y)
(/.f64 #s(literal -1/2 binary64) y)
(- (/ x (* y z)) (* 1/2 (/ 1 y)))
(/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)
(* -4 (+ y (* 1/2 z)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64))
-2
#s(literal -2 binary64)
(- (* 4 (/ x z)) 2)
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(/ x z)
(/.f64 x z)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(+ (* -4 y) (* 4 x))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* x (+ (* -1 (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) x)) (* 4 (/ 1 z))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
(* 4 (/ x (* y z)))
(*.f64 (/.f64 (/.f64 x z) y) #s(literal 4 binary64))
(* x (+ (* -1 (/ (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))) x)) (* 4 (/ 1 (* y z)))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) z) y) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -2 binary64) y)) x)) x)
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
(/ x (* y z))
(/.f64 (/.f64 x z) y)
(* x (- (/ 1 (* y z)) (* 1/2 (/ 1 (* x y)))))
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) x (/.f64 x z)) y)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -4 binary64) z)) x)
(* x (+ 4 (* -4 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 4 binary64)) x)
x
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) x) (* 4 (/ 1 z)))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
(* -1 (* x (- (+ (/ 2 (* x y)) (/ 4 (* x z))) (* 4 (/ 1 (* y z))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) z) y) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -2 binary64) y)) x)) x)
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
(* -1 (* x (- (* 1/2 (/ 1 (* x y))) (/ 1 (* y z)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 (/.f64 #s(literal 1 binary64) z) y)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 4 binary64)) #s(literal 4 binary64)))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -4 binary64) z)) x)
(* -1 (* x (- (* 4 (/ y x)) 4)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 4 binary64)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(* 4 (- (/ x z) 1/2))
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2)))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(* 4 (/ (- (/ x z) 1/2) y))
(/.f64 (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)) y)
(/ (+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2))) y)
(/.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) y)
(* 4 (/ (- x (* 1/2 z)) z))
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(/ (- (/ x z) 1/2) y)
(/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)
(* 4 (- x (* 1/2 z)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z x) #s(literal 4 binary64))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(+ x (* -1 y))
(-.f64 x y)
(* -4 (/ y z))
(*.f64 (/.f64 y z) #s(literal -4 binary64))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))
(fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(*.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64)) #s(literal 4 binary64)) y)
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(* y (- (* 4 (/ x y)) 4))
(*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64)) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y)
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal -1/2 binary64) z x) #s(literal -4 binary64)) y)
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(/ (* y (- (* 4 (/ x y)) 4)) z)
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64))
(/ (+ (* -2 z) (* y (- (* 4 (/ x y)) 4))) z)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(/ (- (* 4 (/ x y)) 4) z)
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)
(/ (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4) z)
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal -1/2 binary64) z x) #s(literal -4 binary64)) z)
(* 4 (/ (- x y) z))
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(/ (+ (* -1/2 (/ z y)) (/ x y)) z)
(/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)
(* 4 (- x y))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(+ (* -2 z) (* 4 (- x y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64))
(/ (+ (* -4 y) (* -2 z)) z)
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(/ (+ (* -2 z) (* 4 x)) z)
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(- (/ (* y (- (* 4 (/ x y)) 4)) z) 2)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(* -2 z)
(*.f64 #s(literal -2 binary64) z)
(* z (- (* 4 (/ (- x y) z)) 2))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64))
(- (* -1 (/ (* y (+ 4 (* -4 (/ x y)))) z)) 2)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(- (* -1 (/ (+ 4 (* -4 (/ x y))) z)) (* 2 (/ 1 y)))
(fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64))

rewrite258.0ms (3.4%)

Memory
-15.8MiB live, 402.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030184
046184
1159184
21108184
08317177
Stop Event
iter limit
node limit
iter limit
Counts
17 → 246
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y)
(fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y))
(/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) y)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(/.f64 #s(literal -4 binary64) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(/.f64 x z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64)))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(-.f64 x y)
Outputs
(*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -4 binary64) z)) y)
(*.f64 y (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -4 binary64) z)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y)) (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y) (*.f64 (/.f64 #s(literal -4 binary64) z) y)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))) (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)))) (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (-.f64 (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))) (*.f64 (/.f64 #s(literal -4 binary64) z) y)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y))) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))) (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))))) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y) (*.f64 (/.f64 #s(literal -4 binary64) z) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))) (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))) (*.f64 (/.f64 #s(literal -4 binary64) z) y)))))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y) #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y)) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y)))))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))) #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))) (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)))) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) y)) (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) (/.f64 #s(literal -4 binary64) z))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 (/.f64 #s(literal -4 binary64) z) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)))))))
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) (/.f64 #s(literal -4 binary64) z))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (pow.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 (/.f64 #s(literal -4 binary64) z) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) (/.f64 #s(literal -4 binary64) z)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 3 binary64))) y) (fma.f64 (pow.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 (/.f64 #s(literal -4 binary64) z) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) (/.f64 #s(literal -4 binary64) z)))
(/.f64 (*.f64 y (fma.f64 (pow.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 (/.f64 #s(literal -4 binary64) z) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))))))
(fma.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y (*.f64 (/.f64 #s(literal -4 binary64) z) y))
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(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(neg.f64 (neg.f64 (-.f64 x y)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(-.f64 x y)
(+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))

eval232.0ms (3%)

Memory
5.8MiB live, 104.8MiB allocated
Compiler

Compiled 12 692 to 1 384 computations (89.1% saved)

prune10.0ms (0.1%)

Memory
-14.2MiB live, 32.0MiB allocated
Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New3064310
Fresh000
Picked145
Done134
Total30811319
Accuracy
100.0%
Counts
319 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.4%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
27.9%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
40.1%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
62.0%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
73.6%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
99.8%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
73.7%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
59.2%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y))
35.1%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y))
39.9%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y))
35.2%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
Compiler

Compiled 232 to 182 computations (21.6% saved)

simplify162.0ms (2.1%)

Memory
11.2MiB live, 196.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
035280
047280
176280
2140280
3268272
4568272
51017272
61362263
71812263
82554263
93824263
105368263
117308263
08313250
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y))
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z))
(/.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y))
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y)
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
y
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y))
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y)
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
x
#s(literal -4 binary64)
z
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
#s(literal -4 binary64)
(/.f64 y z)
y
z
#s(literal -2 binary64)
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y))
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z))
(/.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y))
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y)
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
y
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y))
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y)
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
x
#s(literal -4 binary64)
z
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
#s(literal -4 binary64)
(/.f64 y z)
y
z
#s(literal -2 binary64)

localize109.0ms (1.4%)

Memory
-15.3MiB live, 75.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 y z)
accuracy0.0078125
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
accuracy16.804348293402136
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
accuracy0.08984375
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64))
accuracy1.977309876548007
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)
accuracy2.552013369597315
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y)
accuracy22.80111664925451
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z))
accuracy0.0
(/.f64 #s(literal -2 binary64) y)
accuracy0.0
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y))
accuracy2.552013369597315
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y)
accuracy41.344877640222265
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y))
accuracy0.0
(/.f64 #s(literal -4 binary64) z)
accuracy0.0
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y))
accuracy2.552013369597315
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)
accuracy38.78466190432989
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z))
Samples
57.0ms256×0valid
Compiler

Compiled 179 to 29 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 22.0ms (51.2% of total)
ival-div: 13.0ms (30.2% of total)
ival-sub: 4.0ms (9.3% of total)
ival-add: 3.0ms (7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory
37.9MiB live, 37.9MiB allocated
Counts
16 → 51
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y))
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z))
(/.f64 #s(literal -4 binary64) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y))
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y)
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal -2 binary64) y)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y))
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y)
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(/.f64 y z)
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64))
Outputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(+ (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) (* 4 (/ x z)))
(* -1 (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))
(- (* 4 (/ x (* y z))) (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))
(/ -4 z)
(- (* 4 (/ x (* y z))) (* 4 (/ 1 z)))
-4
(- (* 4 (/ x y)) 4)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -1 (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) x)) (* 4 (/ 1 z))))
(* 4 (/ x (* y z)))
(* x (+ (* -1 (/ (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))) x)) (* 4 (/ 1 (* y z)))))
(* x (- (* 4 (/ 1 (* y z))) (* 4 (/ 1 (* x z)))))
(* 4 (/ x y))
(* x (- (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) x) (* 4 (/ 1 z)))))
(* -1 (* x (- (+ (/ 2 (* x y)) (/ 4 (* x z))) (* 4 (/ 1 (* y z))))))
(* -1 (* x (- (* 4 (/ 1 (* x z))) (* 4 (/ 1 (* y z))))))
(* -1 (* x (- (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* 4 (- (/ x z) 1/2))
(+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2)))
(* 4 (/ (- (/ x z) 1/2) y))
(/ (+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2))) y)
(/ -2 y)
(/ (+ (* -4 (/ y z)) (* 4 (/ x z))) y)
-2
(- (* -4 (/ y z)) 2)
(/ y z)
(/ (+ (* -4 y) (* 4 x)) y)
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (* y (- (* 4 (/ x y)) 4)) z)
(/ (+ (* -2 z) (* y (- (* 4 (/ x y)) 4))) z)
(/ (- (* 4 (/ x y)) 4) z)
(/ (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4) z)
(/ (+ (* -4 y) (* -2 z)) z)
(- (* 4 (/ (- x y) z)) 2)
(- (/ (* y (- (* 4 (/ x y)) 4)) z) 2)
(- (* -1 (/ (* y (+ 4 (* -4 (/ x y)))) z)) 2)
(- (* -1 (/ (+ 4 (* -4 (/ x y))) z)) (* 2 (/ 1 y)))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
z
@0
((/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ -2 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ (+ (* (/ 4 y) x) -4) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* -4 (/ y z)) -2) (/ y z) (+ (* (/ 4 y) x) -4))
2.0ms
y
@-inf
((/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ -2 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ (+ (* (/ 4 y) x) -4) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* -4 (/ y z)) -2) (/ y z) (+ (* (/ 4 y) x) -4))
2.0ms
z
@-inf
((/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ -2 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ (+ (* (/ 4 y) x) -4) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* -4 (/ y z)) -2) (/ y z) (+ (* (/ 4 y) x) -4))
2.0ms
y
@inf
((/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ -2 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ (+ (* (/ 4 y) x) -4) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* -4 (/ y z)) -2) (/ y z) (+ (* (/ 4 y) x) -4))
2.0ms
y
@0
((/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ -2 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ (+ (* (/ 4 y) x) -4) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* -4 (/ y z)) -2) (/ y z) (+ (* (/ 4 y) x) -4))

simplify260.0ms (3.4%)

Memory
-7.4MiB live, 248.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0140562
1431525
21376451
35019451
08415414
Stop Event
iter limit
node limit
Counts
51 → 51
Calls
Call 1
Inputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(+ (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) (* 4 (/ x z)))
(* -1 (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))
(- (* 4 (/ x (* y z))) (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))
(/ -4 z)
(- (* 4 (/ x (* y z))) (* 4 (/ 1 z)))
-4
(- (* 4 (/ x y)) 4)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -1 (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) x)) (* 4 (/ 1 z))))
(* 4 (/ x (* y z)))
(* x (+ (* -1 (/ (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))) x)) (* 4 (/ 1 (* y z)))))
(* x (- (* 4 (/ 1 (* y z))) (* 4 (/ 1 (* x z)))))
(* 4 (/ x y))
(* x (- (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) x) (* 4 (/ 1 z)))))
(* -1 (* x (- (+ (/ 2 (* x y)) (/ 4 (* x z))) (* 4 (/ 1 (* y z))))))
(* -1 (* x (- (* 4 (/ 1 (* x z))) (* 4 (/ 1 (* y z))))))
(* -1 (* x (- (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* 4 (- (/ x z) 1/2))
(+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2)))
(* 4 (/ (- (/ x z) 1/2) y))
(/ (+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2))) y)
(/ -2 y)
(/ (+ (* -4 (/ y z)) (* 4 (/ x z))) y)
-2
(- (* -4 (/ y z)) 2)
(/ y z)
(/ (+ (* -4 y) (* 4 x)) y)
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (* y (- (* 4 (/ x y)) 4)) z)
(/ (+ (* -2 z) (* y (- (* 4 (/ x y)) 4))) z)
(/ (- (* 4 (/ x y)) 4) z)
(/ (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4) z)
(/ (+ (* -4 y) (* -2 z)) z)
(- (* 4 (/ (- x y) z)) 2)
(- (/ (* y (- (* 4 (/ x y)) 4)) z) 2)
(- (* -1 (/ (* y (+ 4 (* -4 (/ x y)))) z)) 2)
(- (* -1 (/ (+ 4 (* -4 (/ x y))) z)) (* 2 (/ 1 y)))
Outputs
(* -4 (/ (+ y (* 1/2 z)) z))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(+ (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) (* 4 (/ x z)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* -1 (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))
(-.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 #s(literal 4 binary64) z))
(- (* 4 (/ x (* y z))) (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) y)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(- (* 4 (/ x (* y z))) (* 4 (/ 1 z)))
(/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z)
-4
#s(literal -4 binary64)
(- (* 4 (/ x y)) 4)
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64))
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 4 binary64)) z) x)
(* x (+ (* -1 (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) x)) (* 4 (/ 1 z))))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 4 binary64)) z) x)
(* 4 (/ x (* y z)))
(*.f64 (/.f64 (/.f64 x z) y) #s(literal 4 binary64))
(* x (+ (* -1 (/ (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))) x)) (* 4 (/ 1 (* y z)))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) z) y) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -4 binary64) z)) x)) x)
(* x (- (* 4 (/ 1 (* y z))) (* 4 (/ 1 (* x z)))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 #s(literal -4 binary64) y)) x) z)
(* 4 (/ x y))
(*.f64 (/.f64 x y) #s(literal 4 binary64))
(* x (- (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(*.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 #s(literal -4 binary64) y)) x)
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 4 binary64)) z) x)
(* -1 (* x (- (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) x) (* 4 (/ 1 z)))))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 4 binary64)) z) x)
(* -1 (* x (- (+ (/ 2 (* x y)) (/ 4 (* x z))) (* 4 (/ 1 (* y z))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) z) y) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -4 binary64) z)) x)) x)
(* -1 (* x (- (* 4 (/ 1 (* x z))) (* 4 (/ 1 (* y z))))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 #s(literal -4 binary64) y)) x) z)
(* -1 (* x (- (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(*.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 #s(literal -4 binary64) y)) x)
(* 4 (/ (- x (* 1/2 z)) z))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* 4 (- (/ x z) 1/2))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* 4 (/ (- (/ x z) 1/2) y))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) y)
(/ (+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2))) y)
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ (+ (* -4 (/ y z)) (* 4 (/ x z))) y)
(/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z)
-2
#s(literal -2 binary64)
(- (* -4 (/ y z)) 2)
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(/ y z)
(/.f64 y z)
(/ (+ (* -4 y) (* 4 x)) y)
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64))
(* -4 (/ y z))
(*.f64 (/.f64 y z) #s(literal -4 binary64))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) y) y)
(- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) y)
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) y) y)
(* 4 (/ (- x y) z))
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(/ (* y (- (* 4 (/ x y)) 4)) z)
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64))
(/ (+ (* -2 z) (* y (- (* 4 (/ x y)) 4))) z)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(/ (- (* 4 (/ x y)) 4) z)
(/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z)
(/ (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4) z)
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z x) #s(literal 4 binary64)) y)) z)
(/ (+ (* -4 y) (* -2 z)) z)
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(- (/ (* y (- (* 4 (/ x y)) 4)) z) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(- (* -1 (/ (* y (+ 4 (* -4 (/ x y)))) z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(- (* -1 (/ (+ 4 (* -4 (/ x y))) z)) (* 2 (/ 1 y)))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) y)

rewrite466.0ms (6.1%)

Memory
-8.9MiB live, 217.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035263
047263
1171263
21153263
08325250
Stop Event
iter limit
node limit
iter limit
Counts
16 → 146
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y))
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z))
(/.f64 #s(literal -4 binary64) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y))
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y)
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal -2 binary64) y)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y))
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y)
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(/.f64 y z)
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64))
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y))
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)
(*.f64 y #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)))
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z))
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 z)))
(/.f64 #s(literal -4 binary64) z)
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 #s(literal 4 binary64) (neg.f64 z))
(neg.f64 (/.f64 #s(literal 4 binary64) z))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y))
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y)
(*.f64 y #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)))
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 #s(literal 2 binary64) (neg.f64 y))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -2 binary64) y)
(neg.f64 (/.f64 #s(literal 2 binary64) y))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y))
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y)
(*.f64 y #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)))
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) z) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -4 binary64) z) (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) z)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) z) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -4 binary64) z) (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) z) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) z) (/.f64 #s(literal -4 binary64) z))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) z (*.f64 z #s(literal -4 binary64)))) (*.f64 (neg.f64 z) z))
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) (neg.f64 z) (*.f64 z #s(literal 4 binary64)))) (*.f64 z z))
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 x y)) (neg.f64 (neg.f64 z)) (*.f64 (neg.f64 z) #s(literal -4 binary64))) (*.f64 (neg.f64 z) (neg.f64 (neg.f64 z))))
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 x y)) z (*.f64 (neg.f64 z) #s(literal -4 binary64))) (*.f64 (neg.f64 z) z))
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 x y)) (neg.f64 z) (*.f64 (neg.f64 z) #s(literal 4 binary64))) (*.f64 z z))
(/.f64 (fma.f64 (*.f64 x #s(literal 4 binary64)) (neg.f64 (neg.f64 z)) (*.f64 (*.f64 y z) #s(literal -4 binary64))) (*.f64 (*.f64 y z) (neg.f64 (neg.f64 z))))
(/.f64 (fma.f64 (*.f64 x #s(literal 4 binary64)) z (*.f64 (*.f64 y z) #s(literal -4 binary64))) (*.f64 (*.f64 y z) z))
(/.f64 (fma.f64 (*.f64 x #s(literal 4 binary64)) (neg.f64 z) (*.f64 (*.f64 y z) #s(literal 4 binary64))) (*.f64 (*.f64 y z) (neg.f64 z)))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) (neg.f64 (neg.f64 z)) (*.f64 z #s(literal -4 binary64))) (*.f64 z (neg.f64 (neg.f64 z))))
(/.f64 (fma.f64 #s(literal -4 binary64) (neg.f64 z) (*.f64 (neg.f64 (neg.f64 z)) (*.f64 #s(literal -4 binary64) (/.f64 x y)))) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 z)))
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y z) (*.f64 (neg.f64 (neg.f64 z)) (*.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 (neg.f64 z)) (*.f64 y z)))
(/.f64 (fma.f64 #s(literal -4 binary64) z (*.f64 (neg.f64 (neg.f64 z)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))) (*.f64 (neg.f64 (neg.f64 z)) z))
(/.f64 (fma.f64 #s(literal -4 binary64) (neg.f64 z) (*.f64 z (*.f64 #s(literal -4 binary64) (/.f64 x y)))) (*.f64 (neg.f64 z) z))
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y z) (*.f64 z (*.f64 x #s(literal 4 binary64)))) (*.f64 z (*.f64 y z)))
(/.f64 (fma.f64 #s(literal -4 binary64) z (*.f64 z (*.f64 (/.f64 #s(literal 4 binary64) y) x))) (*.f64 z z))
(/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 z) (*.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) (/.f64 x y)))) (*.f64 z z))
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y z) (*.f64 (neg.f64 z) (*.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 z) (*.f64 y z)))
(/.f64 (fma.f64 #s(literal 4 binary64) z (*.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal 4 binary64) y) x))) (*.f64 (neg.f64 z) z))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) z) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)) z))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) z) (/.f64 #s(literal -4 binary64) z)))))
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(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 y z)
(neg.f64 (/.f64 (neg.f64 y) z))
(neg.f64 (/.f64 y (neg.f64 z)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))) (*.f64 (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))))) (*.f64 (/.f64 #s(literal -64 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) (/.f64 #s(literal -64 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))))) (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) (/.f64 #s(literal -64 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) (fma.f64 (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))))))
(/.f64 (-.f64 #s(literal -64 binary64) (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 16 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -64 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal -64 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) (/.f64 #s(literal -64 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) (/.f64 #s(literal -64 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) #s(literal 16 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -64 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)) #s(literal 16 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))) #s(literal -64 binary64))) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))))
(/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))) (-.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) #s(literal 16 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -64 binary64))) (neg.f64 (+.f64 #s(literal 16 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -64 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) #s(literal 16 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -64 binary64)) (+.f64 #s(literal 16 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -4 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (-.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))
(-.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -4 binary64) y) x))
(-.f64 #s(literal -4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 x y)))
(+.f64 (/.f64 #s(literal -64 binary64) (+.f64 #s(literal 16 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (+.f64 #s(literal 16 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (+.f64 #s(literal 16 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))) (/.f64 #s(literal -64 binary64) (+.f64 #s(literal 16 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))))
(+.f64 (/.f64 #s(literal -64 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) (/.f64 #s(literal -64 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))
(+.f64 #s(literal -4 binary64) (*.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 4 binary64) y))) x))
(+.f64 #s(literal -4 binary64) (*.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal 4 binary64) y)))
(+.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))

eval26.0ms (0.3%)

Memory
5.5MiB live, 49.5MiB allocated
Compiler

Compiled 8 098 to 915 computations (88.7% saved)

prune32.0ms (0.4%)

Memory
-18.0MiB live, 27.8MiB allocated
Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New1770177
Fresh000
Picked044
Done077
Total17711188
Accuracy
100.0%
Counts
188 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.4%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
27.9%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
40.1%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
62.0%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
73.6%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
99.8%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
73.7%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
59.2%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y))
35.1%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y))
39.9%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y))
35.2%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
Compiler

Compiled 586 to 267 computations (54.4% saved)

regimes43.0ms (0.6%)

Memory
16.1MiB live, 76.1MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64) #s(literal -4 binary64)) y)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x z)) y) #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) z)) y))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y))
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Calls

5 calls:

23.0ms
x
5.0ms
z
5.0ms
y
5.0ms
(-.f64 x y)
4.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
100.0%1(-.f64 x y)
100.0%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
100.0%1x
100.0%1y
100.0%1z
Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes31.0ms (0.4%)

Memory
4.5MiB live, 52.0MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z)
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
Calls

5 calls:

15.0ms
x
4.0ms
z
4.0ms
(-.f64 x y)
4.0ms
y
3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
99.8%1(-.f64 x y)
99.8%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
99.8%1x
99.8%1y
99.8%1z
Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes46.0ms (0.6%)

Memory
6.2MiB live, 51.1MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
Outputs
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
Calls

5 calls:

32.0ms
y
3.0ms
z
3.0ms
x
3.0ms
(-.f64 x y)
3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
85.4%3(-.f64 x y)
98.2%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
89.7%3x
88.5%3y
88.7%3z
Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes29.0ms (0.4%)

Memory
-31.4MiB live, 14.5MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
Calls

2 calls:

26.0ms
x
3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
89.6%3x
73.7%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes3.0ms (0%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
89.5%3x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.1%)

Memory
25.2MiB live, 25.2MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
Outputs
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
Calls

4 calls:

3.0ms
x
3.0ms
z
2.0ms
(-.f64 x y)
2.0ms
y
Results
AccuracySegmentsBranch
73.7%1(-.f64 x y)
73.7%1y
73.7%1z
84.7%3x
Compiler

Compiled 6 to 13 computations (-116.7% saved)

regimes30.0ms (0.4%)

Memory
-29.0MiB live, 22.3MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
Outputs
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
Calls

5 calls:

21.0ms
z
2.0ms
y
2.0ms
x
2.0ms
(-.f64 x y)
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
72.2%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
56.3%3(-.f64 x y)
60.9%4y
61.8%3z
62.2%6x
Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes2.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y))
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y))
Calls

1 calls:

1.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
72.1%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes5.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
Calls

5 calls:

1.0ms
z
1.0ms
(-.f64 x y)
1.0ms
x
1.0ms
y
1.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
35.2%1(-.f64 x y)
35.2%1x
35.2%1y
35.2%1z
35.2%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 17 to 23 computations (-35.3% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
998384238757.3483
1.961564454931781e+19
0.0ms
-245544489963.23236
-260309.36576687044
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch51.0ms (0.7%)

Memory
1.8MiB live, 45.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
8.166274184701676e+30
4.593716767651662e+53
32.0ms
-4.7391060850562864e+116
-8.879834626679647e+112
Samples
36.0ms304×0valid
Compiler

Compiled 698 to 624 computations (10.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (41.6% of total)
ival-sub: 3.0ms (31.2% of total)
ival-div: 2.0ms (20.8% of total)
exact: 1.0ms (10.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.166274184701676e+30
4.593716767651662e+53
1.0ms
-4.7391060850562864e+116
-8.879834626679647e+112
Compiler

Compiled 698 to 624 computations (10.6% saved)

bsearch67.0ms (0.9%)

Memory
-15.9MiB live, 28.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
56.0ms
3.299073714394223e+66
3.2291268744125603e+69
9.0ms
-9.434550333070092e+149
-8.657983808607311e+148
Samples
13.0ms224×0valid
Compiler

Compiled 476 to 436 computations (8.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (41.7% of total)
ival-sub: 2.0ms (27.8% of total)
ival-div: 2.0ms (27.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.3350289366426564
2.2202780410077394
0.0ms
-245544489963.23236
-260309.36576687044
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.3350289366426564
2.2202780410077394
0.0ms
-245544489963.23236
-260309.36576687044
Compiler

Compiled 14 to 16 computations (-14.3% saved)

simplify67.0ms (0.9%)

Memory
10.3MiB live, 52.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
075370
1114370
2172370
3275370
4481348
5926348
61832348
74470348
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -200000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 1000000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)))
(if (<=.f64 x #s(literal -2400000000000000037342598710720423258243683352610547440087449393034001074795413687835964935796113874422895074082816 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (if (<=.f64 x #s(literal 61999999999999998499701071235176787806282686922752 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -2400000000000000037342598710720423258243683352610547440087449393034001074795413687835964935796113874422895074082816 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) (if (<=.f64 x #s(literal 61999999999999998499701071235176787806282686922752 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -329999999999999999127037169121385294009058163790039209372394592505738489138390426236973089493837405094124560241064823501106032716295107804426525474816 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 x #s(literal 3199999999999999848976711204421337814120041323291574352973491951632384 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -200000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -200000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y))))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -200000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 1000000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)))
(if (or (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -200000000000 binary64)) (not (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 1000000000000 binary64)))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal -2400000000000000037342598710720423258243683352610547440087449393034001074795413687835964935796113874422895074082816 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (if (<=.f64 x #s(literal 61999999999999998499701071235176787806282686922752 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))))
(if (or (<=.f64 x #s(literal -2400000000000000037342598710720423258243683352610547440087449393034001074795413687835964935796113874422895074082816 binary64)) (not (<=.f64 x #s(literal 61999999999999998499701071235176787806282686922752 binary64)))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal -2400000000000000037342598710720423258243683352610547440087449393034001074795413687835964935796113874422895074082816 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) (if (<=.f64 x #s(literal 61999999999999998499701071235176787806282686922752 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))))
(if (or (<=.f64 x #s(literal -2400000000000000037342598710720423258243683352610547440087449393034001074795413687835964935796113874422895074082816 binary64)) (not (<=.f64 x #s(literal 61999999999999998499701071235176787806282686922752 binary64)))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal -329999999999999999127037169121385294009058163790039209372394592505738489138390426236973089493837405094124560241064823501106032716295107804426525474816 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 x #s(literal 3199999999999999848976711204421337814120041323291574352973491951632384 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)))
(if (or (<=.f64 x #s(literal -329999999999999999127037169121385294009058163790039209372394592505738489138390426236973089493837405094124560241064823501106032716295107804426525474816 binary64)) (not (<=.f64 x #s(literal 3199999999999999848976711204421337814120041323291574352973491951632384 binary64)))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -200000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (or (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -200000000000 binary64)) (not (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -200000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y))))
(if (or (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -200000000000 binary64)) (not (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

soundness1.2s (15.9%)

Memory
1.7MiB live, 972.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127437
1408403
21361386
34687386
08202350
0168582
1511544
21614515
35616515
08211471
0193806
1592752
21898667
37275667
08127616
030184
046184
1159184
21108184
08317177
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 473 to 197 computations (58.4% saved)

preprocess216.0ms (2.8%)

Memory
-1.0MiB live, 185.3MiB allocated
Compiler

Compiled 788 to 202 computations (74.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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