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

Time bar (total: 5.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze42.0ms (0.8%)

Memory
-3.5MiB live, 74.1MiB 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)

sample913.0ms (18.4%)

Memory
23.8MiB live, 1 043.5MiB allocated
Samples
511.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 287.0ms
ival-mult: 107.0ms (37.2% of total)
ival-sub: 86.0ms (29.9% of total)
ival-div: 78.0ms (27.1% of total)
exact: 8.0ms (2.8% of total)
ival-true: 6.0ms (2.1% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

explain115.0ms (2.3%)

Memory
14.3MiB live, 125.2MiB 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
53.0ms510×0valid
0.0ms3valid
Compiler

Compiled 129 to 44 computations (65.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 17.0ms (62.6% of total)
ival-sub: 5.0ms (18.4% of total)
ival-div: 3.0ms (11% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess279.0ms (5.6%)

Memory
7.0MiB live, 93.7MiB 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
0.5MiB live, 0.5MiB 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)

simplify170.0ms (3.4%)

Memory
-1.8MiB live, 36.6MiB 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)

localize47.0ms (1%)

Memory
-7.1MiB live, 29.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
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))))
accuracy0.00390625
(-.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
41.0ms255×0valid
0.0ms3valid
Compiler

Compiled 78 to 22 computations (71.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (38.3% of total)
ival-sub: 3.0ms (38.3% of total)
ival-div: 2.0ms (25.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
12.1MiB live, 12.1MiB 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
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
@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
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))

simplify206.0ms (4.1%)

Memory
-21.8MiB live, 189.9MiB 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)))

rewrite193.0ms (3.9%)

Memory
17.7MiB live, 243.5MiB 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))
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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)))))
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(/.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))))

eval29.0ms (0.6%)

Memory
-21.6MiB live, 64.5MiB allocated
Compiler

Compiled 5 593 to 942 computations (83.2% saved)

prune7.0ms (0.1%)

Memory
28.4MiB live, 28.4MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2028210
Fresh000
Picked101
Done000
Total2038211
Accuracy
100.0%
Counts
211 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.9%
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
80.4%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z)
65.8%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
33.3%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
35.7%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
66.9%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
68.9%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
35.5%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
Compiler

Compiled 270 to 226 computations (16.3% saved)

simplify146.0ms (2.9%)

Memory
2.4MiB live, 117.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal -1/2 binary64) z x)
cost-diff0
#s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))
cost-diff0
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)))
cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) 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
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64))
cost-diff0
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x))
cost-diff0
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z)
cost-diff3
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030209
046200
174200
2141200
3344198
4914189
52393189
65942189
08171187
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)
(fma.f64 #s(literal 1/2 binary64) z y)
#s(literal 1/2 binary64)
z
y
x
#s(literal -4 binary64)
#s(literal 4 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 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)))
#s(literal 4 binary64)
#s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))
(fma.f64 #s(literal -1/2 binary64) z x)
#s(literal -1/2 binary64)
z
x
Outputs
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x))
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64)))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)
(fma.f64 #s(literal 1/2 binary64) z y)
#s(literal 1/2 binary64)
z
y
x
#s(literal -4 binary64)
#s(literal 4 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 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
(*.f64 #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) (/.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)))
(*.f64 #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))
(fma.f64 #s(literal -1/2 binary64) z x)
#s(literal -1/2 binary64)
z
x

localize100.0ms (2%)

Memory
-47.4MiB live, 143.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 #s(literal -1/2 binary64) z x)
accuracy0.0
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)))
accuracy0.015625
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
accuracy21.508480800822113
#s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))
accuracy0.0
(/.f64 #s(literal 4 binary64) z)
accuracy0.08203125
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
accuracy21.156637574640317
#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)
accuracy43.224174986087526
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
accuracy41.30411500722174
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
accuracy0.00390625
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64))
accuracy0.01171875
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)
accuracy0.015625
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z)
accuracy14.702224491229266
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)
Samples
52.0ms255×0valid
1.0ms3valid
Compiler

Compiled 372 to 59 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 12.0ms (44.4% of total)
ival-div: 7.0ms (25.9% of total)
ival-add: 5.0ms (18.5% of total)
ival-sub: 3.0ms (11.1% of total)
exact: 1.0ms (3.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series23.0ms (0.5%)

Memory
-4.1MiB live, 38.0MiB allocated
Counts
16 → 83
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 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) 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 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)))
#s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))
(fma.f64 #s(literal -1/2 binary64) z x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)
Outputs
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -4 (/ (+ y (* 1/2 z)) x))
(/ (+ (* -4 (+ y (* 1/2 z))) (* 4 x)) x)
(* 4 x)
-2
(- (* 4 (/ x z)) 2)
(* -1 (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(* -1/2 z)
(+ x (* -1/2 z))
(/ (+ y (* 1/2 z)) x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
4
(+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1/2 (/ z x))))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (* 1/2 (/ z x)) 1)))
(* x (+ 4 (* -2 (/ z x))))
(+ (* -4 y) (* x (+ 4 (* -2 (/ z x)))))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ 4 (* -2 (/ z x)))
(+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x))))
(- x (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(* 1/2 (/ z x))
(+ (* 1/2 (/ z x)) (/ y x))
(* -4 y)
(* y (- (/ (* x (+ 4 (* -2 (/ z x)))) y) 4))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* -4 (/ y x))
(* y (- (+ (* -2 (/ z (* x y))) (* 4 (/ 1 y))) (* 4 (/ 1 x))))
(* -1 y)
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(/ y x)
(* y (+ (* 1/2 (/ z (* x y))) (/ 1 x)))
(* -1 (* y (+ 4 (* -1 (/ (* x (+ 4 (* -2 (/ z x)))) y)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ (* -1 (/ (+ 4 (* -2 (/ z x))) y)) (* 4 (/ 1 x)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (- (* -1/2 (/ z (* x y))) (/ 1 x))))
(* x (+ 4 (* -4 (/ y x))))
(+ (* -2 z) (* x (+ 4 (* -4 (/ y x)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(+ 4 (* -4 (/ y x)))
(/ (+ (* -2 z) (* 4 x)) z)
(/ 4 z)
(- x y)
(- (+ x (* -1/2 z)) y)
(* -2 z)
(* z (- (/ (* x (+ 4 (* -4 (/ y x)))) z) 2))
(- (* 4 (/ (- x y) z)) 2)
(* z (- (* 4 (/ (- x y) z)) 2))
(* -2 (/ z x))
(* z (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) 1/2))
(* z (+ (* 1/2 (/ 1 x)) (/ y (* x z))))
(* -1 (* z (+ 2 (* -1 (/ (* x (+ 4 (* -4 (/ y x)))) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ (* -1 (/ (+ 4 (* -4 (/ y x))) z)) (* 2 (/ 1 x)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ x z)))))
(* -1 (* z (- (* -1 (/ y (* x z))) (* 1/2 (/ 1 x)))))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
z
@0
((* (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) x) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (* 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))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x) (/ (+ (* 1/2 z) y) x))
2.0ms
x
@-inf
((* (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) x) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (* 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))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x) (/ (+ (* 1/2 z) y) x))
2.0ms
x
@0
((* (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) x) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (* 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))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x) (/ (+ (* 1/2 z) y) x))
2.0ms
x
@inf
((* (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) x) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (* 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))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x) (/ (+ (* 1/2 z) y) x))
2.0ms
z
@-inf
((* (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) x) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (* 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))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x) (/ (+ (* 1/2 z) y) x))

simplify151.0ms (3%)

Memory
23.2MiB live, 130.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0200783
1666738
22406712
37750712
08536641
Stop Event
iter limit
node limit
Counts
83 → 82
Calls
Call 1
Inputs
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -4 (/ (+ y (* 1/2 z)) x))
(/ (+ (* -4 (+ y (* 1/2 z))) (* 4 x)) x)
(* 4 x)
-2
(- (* 4 (/ x z)) 2)
(* -1 (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(* -1/2 z)
(+ x (* -1/2 z))
(/ (+ y (* 1/2 z)) x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
4
(+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1/2 (/ z x))))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (* 1/2 (/ z x)) 1)))
(* x (+ 4 (* -2 (/ z x))))
(+ (* -4 y) (* x (+ 4 (* -2 (/ z x)))))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ 4 (* -2 (/ z x)))
(+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x))))
(- x (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(* 1/2 (/ z x))
(+ (* 1/2 (/ z x)) (/ y x))
(* -4 y)
(* y (- (/ (* x (+ 4 (* -2 (/ z x)))) y) 4))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* -4 (/ y x))
(* y (- (+ (* -2 (/ z (* x y))) (* 4 (/ 1 y))) (* 4 (/ 1 x))))
(* -1 y)
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(/ y x)
(* y (+ (* 1/2 (/ z (* x y))) (/ 1 x)))
(* -1 (* y (+ 4 (* -1 (/ (* x (+ 4 (* -2 (/ z x)))) y)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ (* -1 (/ (+ 4 (* -2 (/ z x))) y)) (* 4 (/ 1 x)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (- (* -1/2 (/ z (* x y))) (/ 1 x))))
(* x (+ 4 (* -4 (/ y x))))
(+ (* -2 z) (* x (+ 4 (* -4 (/ y x)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(+ 4 (* -4 (/ y x)))
(/ (+ (* -2 z) (* 4 x)) z)
(/ 4 z)
(- x y)
(- (+ x (* -1/2 z)) y)
(* -2 z)
(* z (- (/ (* x (+ 4 (* -4 (/ y x)))) z) 2))
(- (* 4 (/ (- x y) z)) 2)
(* z (- (* 4 (/ (- x y) z)) 2))
(* -2 (/ z x))
(* z (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) 1/2))
(* z (+ (* 1/2 (/ 1 x)) (/ y (* x z))))
(* -1 (* z (+ 2 (* -1 (/ (* x (+ 4 (* -4 (/ y x)))) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ (* -1 (/ (+ 4 (* -4 (/ y x))) z)) (* 2 (/ 1 x)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ x z)))))
(* -1 (* z (- (* -1 (/ y (* x z))) (* 1/2 (/ 1 x)))))
Outputs
(* -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 (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64))
(* -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))
(* -4 (/ (+ y (* 1/2 z)) x))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64))
(/ (+ (* -4 (+ y (* 1/2 z))) (* 4 x)) x)
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
-2
#s(literal -2 binary64)
(- (* 4 (/ x z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #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)))
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(+ x (* -1/2 z))
(fma.f64 #s(literal -1/2 binary64) z x)
(/ (+ y (* 1/2 z)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) 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)
(* 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)) x) z)
4
#s(literal 4 binary64)
(+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -4 binary64) z)) x)
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(fma.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) z y)) #s(literal 1 binary64) x)
(* x (+ 1 (* -1/2 (/ z x))))
(fma.f64 #s(literal -1/2 binary64) z 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 (- (* 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)) x) z)
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 1 binary64)))
(* -1 (* x (- (* 1/2 (/ z x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 z x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* x (+ 4 (* -2 (/ z x))))
(*.f64 (fma.f64 (/.f64 z x) #s(literal -2 binary64) #s(literal 4 binary64)) x)
(+ (* -4 y) (* x (+ 4 (* -2 (/ z x)))))
(fma.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1 binary64) (*.f64 (-.f64 x y) #s(literal 4 binary64)))
(* 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 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(* 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 (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64))
(+ 4 (* -2 (/ z x)))
(fma.f64 (/.f64 z x) #s(literal -2 binary64) #s(literal 4 binary64))
(+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64))
(- x (* 1/2 z))
(fma.f64 #s(literal -1/2 binary64) z x)
(- (+ x (* -1 y)) (* 1/2 z))
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
(* 1/2 (/ z x))
(*.f64 (/.f64 z x) #s(literal 1/2 binary64))
(+ (* 1/2 (/ z x)) (/ y x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (- (/ (* x (+ 4 (* -2 (/ z x)))) y) 4))
(*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (/.f64 z x) #s(literal -2 binary64) #s(literal 4 binary64)) x) y) #s(literal 4 binary64)) 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 (- (* 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)
(* -4 (/ y x))
(*.f64 (/.f64 y x) #s(literal -4 binary64))
(* y (- (+ (* -2 (/ z (* x y))) (* 4 (/ 1 y))) (* 4 (/ 1 x))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal -2 binary64) #s(literal 4 binary64)) y) (/.f64 #s(literal 4 binary64) x)) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 1 binary64)) y)
(/ y x)
(/.f64 y x)
(* y (+ (* 1/2 (/ z (* x y))) (/ 1 x)))
(*.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y)
(* -1 (* y (+ 4 (* -1 (/ (* x (+ 4 (* -2 (/ z x)))) y)))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal -2 binary64) #s(literal 4 binary64)) y) x #s(literal -4 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 (+ 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 (+ (* -1 (/ (+ 4 (* -2 (/ z x))) y)) (* 4 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal -2 binary64) #s(literal 4 binary64)) y) (/.f64 #s(literal 4 binary64) x)) 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 (- (* -1/2 (/ z (* x y))) (/ 1 x))))
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 z x) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(* x (+ 4 (* -4 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 4 binary64)) x)
(+ (* -2 z) (* x (+ 4 (* -4 (/ y x)))))
(fma.f64 (fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 4 binary64)) x (*.f64 #s(literal -2 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))
(* 4 (- x y))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(+ (* -2 z) (* 4 (- x y)))
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64))
(+ 4 (* -4 (/ y x)))
(fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 4 binary64))
(/ (+ (* -2 z) (* 4 x)) z)
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(- x y)
(-.f64 x y)
(- (+ x (* -1/2 z)) y)
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
(* -2 z)
(*.f64 #s(literal -2 binary64) z)
(* z (- (/ (* x (+ 4 (* -4 (/ y x)))) z) 2))
(*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 4 binary64)) x) z) #s(literal 2 binary64)) z)
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(* z (- (* 4 (/ (- x y) z)) 2))
(*.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) z)
(* -2 (/ z x))
(*.f64 (/.f64 z x) #s(literal -2 binary64))
(* z (- (+ (* -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) z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(*.f64 (-.f64 (/.f64 (-.f64 x y) z) #s(literal 1/2 binary64)) z)
(* z (- (/ x z) 1/2))
(fma.f64 #s(literal -1/2 binary64) z x)
(* z (+ (* 1/2 (/ 1 x)) (/ y (* x z))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)
(* -1 (* z (+ 2 (* -1 (/ (* x (+ 4 (* -4 (/ y x)))) z)))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x #s(literal -2 binary64)) z)
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) z)
(* -1 (* z (+ (* -1 (/ (+ 4 (* -4 (/ y x))) 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) z)
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(*.f64 (+.f64 (/.f64 (-.f64 x y) z) #s(literal -1/2 binary64)) z)
(* -1 (* z (+ 1/2 (* -1 (/ x z)))))
(fma.f64 #s(literal -1/2 binary64) z x)
(* -1 (* z (- (* -1 (/ y (* x z))) (* 1/2 (/ 1 x)))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)

rewrite231.0ms (4.6%)

Memory
-5.2MiB live, 229.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030187
046178
1164178
21038178
08212178
Stop Event
iter limit
node limit
iter limit
Counts
16 → 217
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 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) 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 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)))
#s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))
(fma.f64 #s(literal -1/2 binary64) z x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)
Outputs
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 4 binary64)) x)
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x)) (*.f64 (*.f64 x x) #s(literal 16 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) (*.f64 #s(literal 4 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)))) (*.f64 (*.f64 x x) #s(literal 16 binary64))) (-.f64 (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) (*.f64 #s(literal 4 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x))) (-.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))))) (-.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) (-.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) (*.f64 #s(literal 4 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) (-.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) (*.f64 #s(literal 4 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 16 binary64) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x)) (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 16 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)))) (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) #s(literal 16 binary64)) x)) (neg.f64 (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) #s(literal 64 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal -16 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) #s(literal 16 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) #s(literal 64 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal -16 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) #s(literal 16 binary64)) x) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 4 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) #s(literal 64 binary64)) x) (fma.f64 (pow.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal -16 binary64)))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) #s(literal 16 binary64))) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 4 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 (pow.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal -16 binary64)))))
(fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x (*.f64 #s(literal 4 binary64) x))
(fma.f64 #s(literal 4 binary64) x (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x))
(fma.f64 #s(literal 4 binary64) x (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))))
(fma.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) (*.f64 #s(literal 4 binary64) x))
(fma.f64 x #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x))
(fma.f64 x #s(literal 4 binary64) (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))))
(-.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) (*.f64 (neg.f64 x) #s(literal 4 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) (*.f64 #s(literal -4 binary64) x))
(-.f64 (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) (*.f64 (neg.f64 x) #s(literal 4 binary64)))
(-.f64 (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) (*.f64 #s(literal -4 binary64) x))
(-.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) x))
(-.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 (neg.f64 x) (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))))
(+.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) (*.f64 #s(literal 4 binary64) x))
(+.f64 (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) (*.f64 #s(literal 4 binary64) x))
(+.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x))
(+.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 4 binary64)) x))))) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (neg.f64 (neg.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 4 binary64)) x)))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 4 binary64)) x))) (neg.f64 z))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 4 binary64)) x)) z)
(neg.f64 (/.f64 (neg.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 4 binary64)) x))) z))
(neg.f64 (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 4 binary64)) x)) (neg.f64 z)))
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 4 binary64)) x))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 4 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) (*.f64 #s(literal 4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (neg.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal -4 binary64)) (*.f64 (neg.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal -4 binary64)))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))))
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eval36.0ms (0.7%)

Memory
26.2MiB live, 101.5MiB allocated
Compiler

Compiled 10 338 to 1 411 computations (86.4% saved)

prune14.0ms (0.3%)

Memory
-25.8MiB live, 26.9MiB allocated
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2733276
Fresh123
Picked325
Done000
Total2777284
Accuracy
100.0%
Counts
284 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.8%
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z)
58.8%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z)
33.3%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
35.7%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
68.9%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
66.9%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))
35.5%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
Compiler

Compiled 216 to 175 computations (19% saved)

simplify142.0ms (2.8%)

Memory
4.6MiB live, 121.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
034245
050245
177245
2144245
3276241
4581241
5946241
61270241
71551241
81855241
92376241
103104241
113902241
124667241
136251241
147422241
08375227
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#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)
(/.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 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
#s(literal 4 binary64)
(/.f64 x z)
x
z
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z)
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)))
#s(literal 4 binary64)
#s(approx (- (- x y) (* z 1/2)) (-.f64 x y))
(-.f64 x y)
x
y
z
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x))
(*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)
(fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64))
#s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x))
(/.f64 y x)
y
x
#s(literal -4 binary64)
#s(literal 4 binary64)
z
Outputs
#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 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
(/.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
#s(literal -2 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 #s(literal 4 binary64) (/.f64 x 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)))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
#s(literal 4 binary64)
(/.f64 x z)
x
z
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z)
(*.f64 (/.f64 #s(literal 4 binary64) z) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)))
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)))
(*.f64 #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (- x y) (* z 1/2)) (-.f64 x y))
(-.f64 x y)
x
y
z
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x))
(*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)
(fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64))
#s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x))
(/.f64 y x)
y
x
#s(literal -4 binary64)
#s(literal 4 binary64)
z

localize80.0ms (1.6%)

Memory
12.0MiB live, 128.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64))
accuracy0.015625
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z)
accuracy14.702224491229266
(*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)
accuracy28.282801987864474
#s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x))
accuracy0.0
(-.f64 x y)
accuracy0.0
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)))
accuracy0.015625
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z)
accuracy22.020828672802008
#s(approx (- (- x y) (* z 1/2)) (-.f64 x y))
accuracy0.0
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
accuracy0.0
(/.f64 x z)
accuracy21.156637574640317
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #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)
accuracy42.023069766135784
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
accuracy0.0
(/.f64 #s(literal -4 binary64) z)
accuracy0.06640625
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
accuracy19.882724663919742
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
Samples
49.0ms255×0valid
1.0ms3valid
Compiler

Compiled 416 to 63 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 12.0ms (36.6% of total)
ival-mult: 11.0ms (33.5% of total)
ival-add: 6.0ms (18.3% of total)
ival-sub: 3.0ms (9.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series20.0ms (0.4%)

Memory
-6.6MiB live, 30.7MiB allocated
Counts
18 → 88
Calls
Call 1
Inputs
#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)
(/.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 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(/.f64 x z)
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z)
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)))
#s(approx (- (- x y) (* z 1/2)) (-.f64 x y))
(-.f64 x y)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x))
(*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)
(fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64))
#s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x))
Outputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
-2
(- (* 4 (/ x z)) 2)
(/ x z)
(* -1 (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(* -1 y)
(- x y)
(* -4 (/ (+ y (* 1/2 z)) x))
(/ (+ (* -4 (+ y (* 1/2 z))) (* 4 x)) x)
(/ (+ y (* 1/2 z)) x)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ y x))))
4
(+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (/ y x) 1)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(- (* -4 (/ y z)) 2)
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(* -4 y)
(- x (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(+ x (* -1 y))
(* x (+ 4 (* -2 (/ z x))))
(+ (* -4 y) (* x (+ 4 (* -2 (/ z x)))))
(+ 4 (* -2 (/ z x)))
(+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x))))
(* 1/2 (/ z x))
(+ (* 1/2 (/ z x)) (/ y x))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* y (- (/ x y) 1))
(* y (- (/ (* x (+ 4 (* -2 (/ z x)))) y) 4))
(* -4 (/ y x))
(* y (- (+ (* -2 (/ z (* x y))) (* 4 (/ 1 y))) (* 4 (/ 1 x))))
(/ y x)
(* y (+ (* 1/2 (/ z (* x y))) (/ 1 x)))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 4 (* -1 (/ (* x (+ 4 (* -2 (/ z x)))) y)))))
(* -1 (* y (+ (* -1 (/ (+ 4 (* -2 (/ z x))) y)) (* 4 (/ 1 x)))))
(* -1 (* y (- (* -1/2 (/ z (* x y))) (/ 1 x))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/ -4 z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(/ (+ (* -2 z) (* 4 x)) z)
(- (+ x (* -1/2 z)) y)
(* x (+ 4 (* -4 (/ y x))))
(+ (* -2 z) (* x (+ 4 (* -4 (/ y x)))))
(+ 4 (* -4 (/ y x)))
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* -1/2 z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ (* x (+ 4 (* -4 (/ y x)))) z) 2))
(* -2 (/ z x))
(* z (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* z (+ (* 1/2 (/ 1 x)) (/ y (* x z))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -1 (/ (* x (+ 4 (* -4 (/ y x)))) z)))))
(* -1 (* z (+ (* -1 (/ (+ 4 (* -4 (/ y x))) z)) (* 2 (/ 1 x)))))
(* -1 (* z (- (* -1 (/ y (* x z))) (* 1/2 (/ 1 x)))))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
y
@0
((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* 4 (/ x z)) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) x) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (+ (* 1/2 z) y) x))
2.0ms
x
@-inf
((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* 4 (/ x z)) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) x) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (+ (* 1/2 z) y) x))
2.0ms
z
@0
((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* 4 (/ x z)) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) x) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (+ (* 1/2 z) y) x))
2.0ms
z
@-inf
((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* 4 (/ x z)) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) x) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (+ (* 1/2 z) y) x))
1.0ms
x
@inf
((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* 4 (/ x z)) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) x) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (+ (* 1/2 z) y) x))

simplify181.0ms (3.6%)

Memory
6.2MiB live, 123.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0211794
1700748
22502715
08110647
Stop Event
iter limit
node limit
Counts
88 → 87
Calls
Call 1
Inputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
-2
(- (* 4 (/ x z)) 2)
(/ x z)
(* -1 (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(* -1 y)
(- x y)
(* -4 (/ (+ y (* 1/2 z)) x))
(/ (+ (* -4 (+ y (* 1/2 z))) (* 4 x)) x)
(/ (+ y (* 1/2 z)) x)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ y x))))
4
(+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (/ y x) 1)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(- (* -4 (/ y z)) 2)
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(* -4 y)
(- x (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(+ x (* -1 y))
(* x (+ 4 (* -2 (/ z x))))
(+ (* -4 y) (* x (+ 4 (* -2 (/ z x)))))
(+ 4 (* -2 (/ z x)))
(+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x))))
(* 1/2 (/ z x))
(+ (* 1/2 (/ z x)) (/ y x))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* y (- (/ x y) 1))
(* y (- (/ (* x (+ 4 (* -2 (/ z x)))) y) 4))
(* -4 (/ y x))
(* y (- (+ (* -2 (/ z (* x y))) (* 4 (/ 1 y))) (* 4 (/ 1 x))))
(/ y x)
(* y (+ (* 1/2 (/ z (* x y))) (/ 1 x)))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 4 (* -1 (/ (* x (+ 4 (* -2 (/ z x)))) y)))))
(* -1 (* y (+ (* -1 (/ (+ 4 (* -2 (/ z x))) y)) (* 4 (/ 1 x)))))
(* -1 (* y (- (* -1/2 (/ z (* x y))) (/ 1 x))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/ -4 z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(/ (+ (* -2 z) (* 4 x)) z)
(- (+ x (* -1/2 z)) y)
(* x (+ 4 (* -4 (/ y x))))
(+ (* -2 z) (* x (+ 4 (* -4 (/ y x)))))
(+ 4 (* -4 (/ y x)))
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* -1/2 z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ (* x (+ 4 (* -4 (/ y x)))) z) 2))
(* -2 (/ z x))
(* z (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* z (+ (* 1/2 (/ 1 x)) (/ y (* x z))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -1 (/ (* x (+ 4 (* -4 (/ y x)))) z)))))
(* -1 (* z (+ (* -1 (/ (+ 4 (* -4 (/ y x))) z)) (* 2 (/ 1 x)))))
(* -1 (* z (- (* -1 (/ y (* x z))) (* 1/2 (/ 1 x)))))
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 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(* -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 (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64))
-2
#s(literal -2 binary64)
(- (* 4 (/ x z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(/ x z)
(/.f64 x z)
(* -1 (+ y (* 1/2 z)))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) z y))
(- x (+ y (* 1/2 z)))
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* -4 (/ (+ y (* 1/2 z)) x))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64))
(/ (+ (* -4 (+ y (* 1/2 z))) (* 4 x)) x)
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64))
(/ (+ y (* 1/2 z)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)
(* 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)
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(fma.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1 binary64) (*.f64 (-.f64 x y) #s(literal 4 binary64)))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -4 binary64) z)) x)
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(fma.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) z y)) #s(literal 1 binary64) x)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
4
#s(literal 4 binary64)
(+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64))
(* -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 (- (* 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)))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 1 binary64)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(* 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 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(* 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 (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(- x (* 1/2 z))
(fma.f64 #s(literal -1/2 binary64) z x)
(- (+ x (* -1 y)) (* 1/2 z))
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
(+ x (* -1 y))
(-.f64 x y)
(* x (+ 4 (* -2 (/ z x))))
(*.f64 (fma.f64 (/.f64 z x) #s(literal -2 binary64) #s(literal 4 binary64)) x)
(+ (* -4 y) (* x (+ 4 (* -2 (/ z x)))))
(fma.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1 binary64) (*.f64 (-.f64 x y) #s(literal 4 binary64)))
(+ 4 (* -2 (/ z x)))
(fma.f64 (/.f64 z x) #s(literal -2 binary64) #s(literal 4 binary64))
(+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64))
(* 1/2 (/ z x))
(*.f64 (/.f64 z x) #s(literal 1/2 binary64))
(+ (* 1/2 (/ z x)) (/ y x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)
(* -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)
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(* 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 (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 1 binary64)) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (/ (* x (+ 4 (* -2 (/ z x)))) y) 4))
(*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (/.f64 z x) #s(literal -2 binary64) #s(literal 4 binary64)) x) y) #s(literal 4 binary64)) y)
(* -4 (/ y x))
(*.f64 (/.f64 y x) #s(literal -4 binary64))
(* y (- (+ (* -2 (/ z (* x y))) (* 4 (/ 1 y))) (* 4 (/ 1 x))))
(neg.f64 (fma.f64 (fma.f64 (/.f64 z x) #s(literal 2 binary64) #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) x) y)))
(/ y x)
(/.f64 y x)
(* y (+ (* 1/2 (/ z (* x y))) (/ 1 x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)
(* -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 (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 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 (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(neg.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) z x)) #s(literal 1 binary64) y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 4 (* -1 (/ (* x (+ 4 (* -2 (/ z x)))) y)))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal -2 binary64) #s(literal 4 binary64)) y) x #s(literal -4 binary64)) y)
(* -1 (* y (+ (* -1 (/ (+ 4 (* -2 (/ z x))) y)) (* 4 (/ 1 x)))))
(neg.f64 (fma.f64 (fma.f64 (/.f64 z x) #s(literal 2 binary64) #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) x) y)))
(* -1 (* y (- (* -1/2 (/ z (* x y))) (/ 1 x))))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 z y) x)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(* 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))
(/ (+ (* -4 y) (* -2 z)) z)
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #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 (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64))
(/ (+ (* -2 z) (* 4 x)) z)
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(- (+ x (* -1/2 z)) y)
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
(* x (+ 4 (* -4 (/ y x))))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(+ (* -2 z) (* x (+ 4 (* -4 (/ y x)))))
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64))
(+ 4 (* -4 (/ y x)))
(fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 4 binary64))
(- (* 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 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(*.f64 (-.f64 (/.f64 (-.f64 x y) z) #s(literal 1/2 binary64)) z)
(* z (- (/ (* x (+ 4 (* -4 (/ y x)))) z) 2))
(*.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) z)
(* -2 (/ z x))
(*.f64 (/.f64 z x) #s(literal -2 binary64))
(* z (- (+ (* -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) z)
(* z (+ (* 1/2 (/ 1 x)) (/ y (* x z))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) z)
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(*.f64 (+.f64 (/.f64 (-.f64 x y) z) #s(literal -1/2 binary64)) z)
(* -1 (* z (+ 2 (* -1 (/ (* x (+ 4 (* -4 (/ y x)))) z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) z)
(* -1 (* z (+ (* -1 (/ (+ 4 (* -4 (/ y x))) 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) z)
(* -1 (* z (- (* -1 (/ y (* x z))) (* 1/2 (/ 1 x)))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)

rewrite395.0ms (7.9%)

Memory
-0.8MiB live, 154.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034222
050222
1170222
21030222
08270208
Stop Event
iter limit
node limit
iter limit
Counts
18 → 201
Calls
Call 1
Inputs
#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)
(/.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 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(/.f64 x z)
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z)
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)))
#s(approx (- (- x y) (* z 1/2)) (-.f64 x y))
(-.f64 x y)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x))
(*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)
(fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64))
#s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x))
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64)))))) (*.f64 (/.f64 #s(literal -8 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))))))) (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64)))))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64) #s(literal 64 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) (-.f64 (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (-.f64 (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64)))) (*.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64)))) #s(literal 64 binary64))) (*.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64)))) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 16 binary64))) (neg.f64 (-.f64 (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64) #s(literal 64 binary64))) (neg.f64 (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64) #s(literal 64 binary64))) (neg.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 16 binary64)) (-.f64 (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)) #s(literal 4 binary64)))
(/.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64)))))
(/.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64) #s(literal 64 binary64)) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 16 binary64))) (-.f64 (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)) #s(literal 4 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64) #s(literal 64 binary64))) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))))
(neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 16 binary64)) (neg.f64 (-.f64 (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)) #s(literal 4 binary64)))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64) #s(literal 64 binary64)) (neg.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64)))))))
(fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 4 binary64))
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)))) (/.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) (-.f64 (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)) #s(literal 4 binary64))))
(-.f64 #s(literal 4 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 4 binary64)))
(+.f64 (/.f64 #s(literal 64 binary64) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))) (/.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))))
(+.f64 (/.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))) (/.f64 #s(literal 64 binary64) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))))
(+.f64 (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))) (/.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))))
(+.f64 (/.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))) (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))))
(+.f64 (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (neg.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)))) #s(literal -4 binary64)))
(+.f64 #s(literal 4 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)))
#s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x))

eval39.0ms (0.8%)

Memory
12.6MiB live, 49.5MiB allocated
Compiler

Compiled 10 977 to 1 131 computations (89.7% saved)

prune230.0ms (4.6%)

Memory
-32.5MiB live, 21.4MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New2590259
Fresh000
Picked055
Done022
Total2597266
Accuracy
100.0%
Counts
266 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.8%
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z)
58.8%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z)
33.3%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
35.7%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
68.9%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
66.9%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))
35.5%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
Compiler

Compiled 329 to 161 computations (51.1% saved)

regimes22.0ms (0.4%)

Memory
27.1MiB live, 27.1MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#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)
(/.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 x 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)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z)
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z)
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Calls

5 calls:

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

Compiled 17 to 23 computations (-35.3% saved)

regimes35.0ms (0.7%)

Memory
-12.0MiB live, 26.3MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#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)
(/.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 x 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)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z)
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) 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 #s(literal 4 binary64) (/.f64 x z) #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:

21.0ms
(-.f64 x y)
3.0ms
z
3.0ms
x
3.0ms
y
3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
90.1%3x
88.6%3y
91.5%3z
99.0%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
85.0%3(-.f64 x y)
Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes8.0ms (0.2%)

Memory
12.1MiB live, 12.1MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#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)
(/.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 x 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 #s(literal 4 binary64) (/.f64 x 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 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))
Calls

3 calls:

3.0ms
z
3.0ms
x
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
89.8%3x
77.6%5z
76.8%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes50.0ms (1%)

Memory
-28.2MiB live, 10.5MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#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)
(/.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 x z) #s(literal -2 binary64)))
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) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
Calls

3 calls:

46.0ms
y
2.0ms
(-.f64 x y)
2.0ms
x
Results
AccuracySegmentsBranch
66.9%1(-.f64 x y)
81.1%3y
72.4%3x
Compiler

Compiled 5 to 10 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
3 → 4
Calls
Call 1
Inputs
#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)
(/.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) x)) z)
(/.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) x)) z)
Calls

3 calls:

2.0ms
y
2.0ms
z
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
66.9%7z
75.2%4(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
58.8%3y
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes5.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#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)
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

3 calls:

1.0ms
x
1.0ms
(-.f64 x y)
1.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
52.9%3(-.f64 x y)
41.0%2x
68.0%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes6.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB 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
y
1.0ms
(-.f64 x y)
1.0ms
x
1.0ms
z
1.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
35.5%1x
35.5%1(-.f64 x y)
35.5%1y
35.5%1z
35.5%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
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2732194046183456
2442.734173112617
0.0ms
-1458406170907615.5
-2.085807931662406
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch63.0ms (1.3%)

Memory
-19.6MiB live, 18.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
3.014499560840245e-31
1.4218850930518414e-22
47.0ms
-5.918060674344661e+87
-1.19896289544814e+86
Samples
50.0ms256×0valid
Compiler

Compiled 590 to 528 computations (10.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-sub: 39.0ms (88.5% of total)
ival-mult: 3.0ms (6.8% of total)
ival-div: 2.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch50.0ms (1%)

Memory
-7.6MiB live, 31.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
32.0ms
1.7943237553694557e+137
9.908384909861147e+153
14.0ms
-3.8819398668750946e+120
-1.6306096869025718e+107
Samples
34.0ms320×0valid
Compiler

Compiled 674 to 616 computations (8.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-sub: 21.0ms (77.4% of total)
ival-mult: 4.0ms (14.8% of total)
ival-div: 2.0ms (7.4% 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
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.5355395674604548
1.2732194046183456
0.0ms
-1458406170907615.5
-2.085807931662406
0.0ms
-1.0707003302978622e+198
-7.752006689165309e+195
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.5355395674604548
1.2732194046183456
0.0ms
-1458406170907615.5
-2.085807931662406
Compiler

Compiled 14 to 16 computations (-14.3% saved)

simplify84.0ms (1.7%)

Memory
9.4MiB live, 46.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
060332
190332
2135332
3225332
4398318
5839318
62368318
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)
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1000000000000000 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 2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #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 -270000000000000017753780405863343293231423331277507770907442856876618128672858465894400 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) (if (<=.f64 x #s(literal 8166776806102523/1361129467683753853853498429727072845824 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 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))))
(if (<=.f64 y #s(literal -48000000000000000186915788669957412525513096910099879271337613552017637770910998515771330920882041143238528163754541056 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 49999999999999996681683364986231121055509847158923091289463001947809936825071710129649256226662527266508888537465191395528952846213699856588865536 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x 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 -1000000000000000017535541566019400541537441865177200086145798104936341572305513193378283771523764365204900328030374534281861011105867876227585990799216050325567033999660761493056632508247061001404416 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 -1000000000000000 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) x)) z))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1000000000000000 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)))
#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)
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1000000000000000 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 2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #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 -1000000000000000 binary64)) (not (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #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 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal -270000000000000017753780405863343293231423331277507770907442856876618128672858465894400 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) (if (<=.f64 x #s(literal 8166776806102523/1361129467683753853853498429727072845824 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 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))))
(if (or (<=.f64 x #s(literal -270000000000000017753780405863343293231423331277507770907442856876618128672858465894400 binary64)) (not (<=.f64 x #s(literal 8166776806102523/1361129467683753853853498429727072845824 binary64)))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x 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))))
(if (<=.f64 y #s(literal -48000000000000000186915788669957412525513096910099879271337613552017637770910998515771330920882041143238528163754541056 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 49999999999999996681683364986231121055509847158923091289463001947809936825071710129649256226662527266508888537465191395528952846213699856588865536 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (or (<=.f64 y #s(literal -48000000000000000186915788669957412525513096910099879271337613552017637770910998515771330920882041143238528163754541056 binary64)) (not (<=.f64 y #s(literal 49999999999999996681683364986231121055509847158923091289463001947809936825071710129649256226662527266508888537465191395528952846213699856588865536 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) (fma.f64 #s(literal 4 binary64) (/.f64 x 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 -1000000000000000017535541566019400541537441865177200086145798104936341572305513193378283771523764365204900328030374534281861011105867876227585990799216050325567033999660761493056632508247061001404416 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 -1000000000000000 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) x)) z))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1000000000000000 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 -1000000000000000 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)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

soundness797.0ms (16%)

Memory
-2.2MiB live, 445.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127437
1408403
21361386
34687386
08202350
030187
046178
1164178
21038178
08212178
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 433 to 178 computations (58.9% saved)

preprocess48.0ms (1%)

Memory
20.4MiB live, 97.0MiB allocated
Compiler

Compiled 712 to 174 computations (75.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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