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

Time bar (total: 6.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze56.0ms (0.8%)

Memory
2.7MiB live, 62.7MiB 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)

sample876.0ms (13.1%)

Memory
5.7MiB live, 1 326.0MiB allocated
Samples
541.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 323.0ms
ival-div: 107.0ms (33.1% of total)
ival-mult: 102.0ms (31.6% of total)
ival-sub: 96.0ms (29.7% of total)
exact: 8.0ms (2.5% of total)
ival-true: 6.0ms (1.9% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain110.0ms (1.6%)

Memory
20.2MiB live, 161.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
00-0-z
00-0-#s(literal 4 binary64)
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
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)o/n10
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))overflow1
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
52.0ms512×0valid
Compiler

Compiled 91 to 34 computations (62.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 28.0ms (76.1% of total)
ival-sub: 5.0ms (13.6% of total)
ival-div: 3.0ms (8.1% of total)
exact: 1.0ms (2.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess256.0ms (3.8%)

Memory
-16.1MiB live, 122.9MiB 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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.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)

simplify168.0ms (2.5%)

Memory
15.5MiB live, 62.5MiB 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)

localize58.0ms (0.9%)

Memory
-10.0MiB live, 46.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x y)
accuracy0.0
(*.f64 z #s(literal 1/2 binary64))
accuracy0.0
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
accuracy0.26343176629303844
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Samples
51.0ms256×0valid
Compiler

Compiled 40 to 12 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 24.0ms (79.9% of total)
ival-sub: 3.0ms (10% of total)
ival-mult: 3.0ms (10% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-19.2MiB live, 25.3MiB 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
4.0ms
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))

simplify145.0ms (2.2%)

Memory
-3.2MiB live, 189.1MiB 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)))

rewrite210.0ms (3.1%)

Memory
23.6MiB live, 259.4MiB 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))
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(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 y x) (neg.f64 (-.f64 x y))))) (exp.f64 (log.f64 (neg.f64 (+.f64 y x)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (exp.f64 (log.f64 (+.f64 y x))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 y (/.f64 y (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (neg.f64 (-.f64 x y)))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (neg.f64 (-.f64 x y))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(neg.f64 (neg.f64 (-.f64 x y)))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 x (/.f64 x (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(-.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 x y)
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (-.f64 x y)))
(+.f64 (cosh.f64 (log.f64 (-.f64 x y))) (sinh.f64 (log.f64 (-.f64 x y))))
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(*.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 z #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) z))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) z)))
(+.f64 (cosh.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) z))) (sinh.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) z))))

eval27.0ms (0.4%)

Memory
28.6MiB live, 72.9MiB allocated
Compiler

Compiled 5 593 to 942 computations (83.2% saved)

prune12.0ms (0.2%)

Memory
-32.2MiB live, 25.6MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New20010210
Fresh000
Picked101
Done000
Total20110211
Accuracy
100.0%
Counts
211 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.9%
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) z))) z)
66.8%
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
86.8%
(/.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)
69.4%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z)
63.9%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
32.4%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
66.8%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
69.7%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
35.6%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
35.6%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
Compiler

Compiled 366 to 286 computations (21.9% saved)

simplify108.0ms (1.6%)

Memory
18.7MiB live, 158.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/2 binary64) z y)
cost-diff0
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
cost-diff0
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)))
cost-diff0
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z)
cost-diff0
(/.f64 #s(literal 4 binary64) z)
cost-diff0
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
cost-diff0
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
cost-diff0
(*.f64 #s(literal 4 binary64) x)
cost-diff0
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
cost-diff0
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
cost-diff0
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
cost-diff0
(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
028207
042199
165199
2135199
3346197
4908188
52377188
65649188
08265186
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 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
(fma.f64 #s(literal 1/2 binary64) z y)
#s(literal 1/2 binary64)
z
y
#s(literal -4 binary64)
Outputs
(/.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 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/2 binary64) z y))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)))
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/2 binary64) z y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/2 binary64) z y))
(fma.f64 #s(literal 1/2 binary64) z y)
#s(literal 1/2 binary64)
z
y
#s(literal -4 binary64)

localize122.0ms (1.8%)

Memory
-0.3MiB live, 98.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 #s(literal 1/2 binary64) z y)
accuracy0.0
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
accuracy0.26343176629303844
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z)
accuracy19.563732196076497
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)))
accuracy0.0
(/.f64 #s(literal 4 binary64) z)
accuracy0.08984375
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
accuracy21.212432005562803
#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)
accuracy0.26343176629303844
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
accuracy44.0723125682723
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
accuracy41.22877547736333
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
accuracy0.00390625
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)
accuracy0.017910009768442016
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64))
accuracy0.26343176629303844
(/.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)
accuracy10.321659149348706
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)
Samples
80.0ms256×0valid
Compiler

Compiled 163 to 25 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 54.0ms (82.4% of total)
ival-div: 5.0ms (7.6% of total)
ival-sub: 3.0ms (4.6% of total)
ival-add: 3.0ms (4.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series49.0ms (0.7%)

Memory
1.9MiB live, 42.7MiB allocated
Counts
16 → 75
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 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
(fma.f64 #s(literal 1/2 binary64) z y)
(/.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)
(/ (+ 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))))
(* -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)))))
(* 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))))
(* -2 z)
(+ (* -4 y) (* -2 z))
(* 1/2 z)
(+ 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))))
(* y (- (* -2 (/ z y)) 4))
y
(* 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 (+ 4 (* 2 (/ z y)))))
(* -1 (* y (- (* -1/2 (/ z y)) 1)))
(* -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)
(* 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 (- (* -4 (/ y z)) 2))
(* z (+ 1/2 (/ y z)))
(* 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 (+ 2 (* 4 (/ y z)))))
(* -1 (* z (- (* -1 (/ y z)) 1/2)))
(* -1 (* z (- (* -1 (/ y (* x z))) (* 1/2 (/ 1 x)))))
Calls

9 calls:

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

simplify385.0ms (5.8%)

Memory
12.4MiB live, 227.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186713
1604676
22145657
08032595
Stop Event
iter limit
node limit
Counts
75 → 74
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)
(/ (+ 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))))
(* -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)))))
(* 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))))
(* -2 z)
(+ (* -4 y) (* -2 z))
(* 1/2 z)
(+ 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))))
(* y (- (* -2 (/ z y)) 4))
y
(* 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 (+ 4 (* 2 (/ z y)))))
(* -1 (* y (- (* -1/2 (/ z y)) 1)))
(* -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)
(* 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 (- (* -4 (/ y z)) 2))
(* z (+ 1/2 (/ y z)))
(* 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 (+ 2 (* 4 (/ y z)))))
(* -1 (* z (- (* -1 (/ y z)) 1/2)))
(* -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)))
(-.f64 (/.f64 (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) x)) z) #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))
(/ (+ 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 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) x)) z) #s(literal 2 binary64))
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)
(* -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 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) x)) z) #s(literal 2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -4 binary64) z) (/.f64 #s(literal -2 binary64) x)))
(* 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)))))
(*.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 (* 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)))
(-.f64 (/.f64 (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) x)) z) #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))
(* -2 z)
(*.f64 #s(literal -2 binary64) z)
(+ (* -4 y) (* -2 z))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(+ y (* 1/2 z))
(fma.f64 #s(literal 1/2 binary64) z y)
(* 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 (/.f64 x z) #s(literal 1/2 binary64)) 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 #s(literal -2 binary64) y) z #s(literal -4 binary64)) x) (/.f64 #s(literal -4 binary64) y)) y)
(* y (- (* -2 (/ z y)) 4))
(*.f64 (-.f64 (*.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 4 binary64)) y)
y
(* y (+ 1 (* 1/2 (/ z y))))
(*.f64 (fma.f64 (/.f64 z y) #s(literal 1/2 binary64) #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 x y) (fma.f64 (/.f64 z x) #s(literal -2 binary64) #s(literal 4 binary64)) #s(literal -4 binary64)) y)
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y)
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal -1/2 binary64) z x) #s(literal -4 binary64)) y)
(* -1 (* y (+ (* -1 (/ (+ 4 (* -2 (/ z x))) y)) (* 4 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) z #s(literal -4 binary64)) x) (/.f64 #s(literal -4 binary64) y)) y)
(* -1 (* y (+ 4 (* 2 (/ z y)))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) z #s(literal -4 binary64)) y)
(* -1 (* y (- (* -1/2 (/ z y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) #s(literal 1 binary64)))
(* -1 (* y (- (* -1/2 (/ z (* x y))) (/ 1 x))))
(*.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 z x) y)) (/.f64 #s(literal 1 binary64) x)))
(* x (+ 4 (* -4 (/ y x))))
(fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) x))
(+ (* -2 z) (* x (+ 4 (* -4 (/ y x)))))
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64))
(* 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)))
(fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #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)
(* z (- (/ (* x (+ 4 (* -4 (/ y x)))) z) 2))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -4 binary64) y (*.f64 #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 (- (* -4 (/ y z)) 2))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
(* z (+ 1/2 (/ y z)))
(fma.f64 #s(literal 1/2 binary64) z y)
(* 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 (-.f64 (/.f64 (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) x)) z) #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 (+ 2 (* 4 (/ y z)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
(* -1 (* z (- (* -1 (/ y z)) 1/2)))
(*.f64 (neg.f64 z) (-.f64 (/.f64 (neg.f64 y) z) #s(literal 1/2 binary64)))
(* -1 (* z (- (* -1 (/ y (* x z))) (* 1/2 (/ 1 x)))))
(neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) z (/.f64 (neg.f64 y) x)))

rewrite342.0ms (5.1%)

Memory
-7.1MiB live, 304.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028185
042177
1145177
2899177
08225177
Stop Event
iter limit
node limit
iter limit
Counts
16 → 238
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 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
(fma.f64 #s(literal 1/2 binary64) z y)
(/.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 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 3 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))))) x (*.f64 (/.f64 #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))))) x))
(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 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 3 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))))) (*.f64 x (/.f64 #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 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 #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 (neg.f64 x) (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))))
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 3 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))))) x) (*.f64 (/.f64 #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))))) x))
(+.f64 (*.f64 x (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 3 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)))))) (*.f64 x (/.f64 #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)))))))
(+.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 #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 #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))
(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))))
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(*.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) (-.f64 (*.f64 z #s(literal 1/2 binary64)) y)) (/.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) y) x))
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 y (-.f64 y (*.f64 z #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 y (-.f64 y (*.f64 z #s(literal 1/2 binary64)))))) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (-.f64 (/.f64 y x) (/.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (/.f64 y x) (/.f64 (*.f64 z #s(literal 1/2 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) y) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) (/.f64 (*.f64 z #s(literal 1/2 binary64)) x))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) (neg.f64 (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) z))) (*.f64 x x))
(/.f64 (fma.f64 (neg.f64 y) x (*.f64 (neg.f64 x) (*.f64 z #s(literal 1/2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 y (neg.f64 x) (*.f64 x (*.f64 #s(literal -1/2 binary64) z))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 x x))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) x (*.f64 (neg.f64 x) y)) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 x) (*.f64 x (neg.f64 y))) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) y) x))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) (/.f64 (*.f64 z #s(literal 1/2 binary64)) x)))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 z #s(literal 1/2 binary64)) (*.f64 y y)) (neg.f64 (*.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) y) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 y (-.f64 y (*.f64 z #s(literal 1/2 binary64))))) x)))
(/.f64 (*.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (*.f64 x x))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 y (neg.f64 y))) (*.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) y) x))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 y (-.f64 y (*.f64 z #s(literal 1/2 binary64))))) x))
(/.f64 (neg.f64 (fma.f64 z #s(literal 1/2 binary64) y)) (neg.f64 x))
(/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)
(neg.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) (neg.f64 x)))
(fma.f64 z (/.f64 #s(literal 1/2 binary64) x) (/.f64 y x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 z x) (/.f64 y x))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) y) x)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) y) x)))
(-.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) y) x)) (/.f64 (*.f64 y y) (*.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) y) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 z #s(literal 1/2 binary64)) y)) x) (/.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/2 binary64)) y)) x))
(-.f64 (/.f64 y x) (*.f64 (neg.f64 z) (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 (/.f64 y x) (*.f64 #s(literal -1/2 binary64) (/.f64 z x)))
(-.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -1/2 binary64) z) x))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) (/.f64 (*.f64 z #s(literal 1/2 binary64)) x))))) (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) (/.f64 (*.f64 z #s(literal 1/2 binary64)) x))))))
(+.f64 (/.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) x) (*.f64 x x)) (/.f64 (*.f64 x y) (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 y (-.f64 y (*.f64 z #s(literal 1/2 binary64))))) x)) (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 y (-.f64 y (*.f64 z #s(literal 1/2 binary64))))) x)))
(+.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 y (-.f64 y (*.f64 z #s(literal 1/2 binary64))))) x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 y (-.f64 y (*.f64 z #s(literal 1/2 binary64))))) x)))
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 y (-.f64 y (*.f64 z #s(literal 1/2 binary64)))))) x) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 y (-.f64 y (*.f64 z #s(literal 1/2 binary64)))))) x))
(+.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) y) x)) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) y) x)))
(+.f64 (/.f64 y x) (/.f64 (*.f64 z #s(literal 1/2 binary64)) x))
(+.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) (/.f64 y x))

eval90.0ms (1.3%)

Memory
-16.9MiB live, 130.1MiB allocated
Compiler

Compiled 13 318 to 1 683 computations (87.4% saved)

prune31.0ms (0.5%)

Memory
-13.2MiB live, 33.4MiB allocated
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New3324336
Fresh235
Picked325
Done000
Total3379346
Accuracy
100.0%
Counts
346 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.5%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal -1/2 binary64) z x) #s(literal -4 binary64)) y)) z)
59.0%
(/.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)
63.9%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
32.4%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
100.0%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
69.7%
#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)))
35.6%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
35.6%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
Compiler

Compiled 310 to 249 computations (19.7% saved)

simplify203.0ms (3%)

Memory
8.3MiB live, 101.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
028175
042175
167175
2114175
3223163
4482163
5694163
6848163
71048163
81275163
91459163
101650163
112044163
122551163
132947163
143303163
153581163
163873163
174082163
184188163
194233163
204267163
214335163
224461163
234515163
244543163
254575163
264627163
04627161
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(/.f64 (-.f64 x y) z)
(-.f64 x y)
x
y
z
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
(*.f64 (/.f64 y z) #s(literal -4 binary64))
(/.f64 y z)
y
z
#s(literal -4 binary64)
#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)
#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 (-.f64 x y) #s(literal 4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64)))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(-.f64 x y)
x
y
#s(literal 4 binary64)
z
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64)))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64))
(/.f64 (-.f64 x y) z)
(-.f64 x y)
x
y
z
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
(*.f64 (/.f64 y z) #s(literal -4 binary64))
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(/.f64 y z)
y
z
#s(literal -4 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) 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)
#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 (-.f64 x y) #s(literal 4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64)))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(-.f64 x y)
x
y
#s(literal 4 binary64)
z

localize183.0ms (2.7%)

Memory
22.1MiB live, 166.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x y)
accuracy0.0
(*.f64 (-.f64 x y) #s(literal 4 binary64))
accuracy0.26343176629303844
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
accuracy22.92843507993673
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64)))
accuracy0.0
(/.f64 #s(literal -4 binary64) z)
accuracy0.1015625
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
accuracy19.348779379914546
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
accuracy0.0
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
accuracy0.0
(/.f64 x z)
accuracy21.212432005562803
#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 y z)
accuracy0.00390625
(*.f64 (/.f64 y z) #s(literal -4 binary64))
accuracy41.201190835210184
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
accuracy0.0
(-.f64 x y)
accuracy0.0
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
accuracy0.00390625
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
accuracy0.015625
(/.f64 (-.f64 x y) z)
Samples
142.0ms256×0valid
Compiler

Compiled 139 to 26 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 124.0ms
ival-mult: 96.0ms (77.2% of total)
ival-add: 16.0ms (12.9% of total)
ival-div: 8.0ms (6.4% of total)
ival-sub: 3.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
6.2MiB live, 51.9MiB allocated
Counts
16 → 65
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(/.f64 (-.f64 x y) z)
(-.f64 x y)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
(*.f64 (/.f64 y z) #s(literal -4 binary64))
(/.f64 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))
(/.f64 x z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(/.f64 #s(literal -4 binary64) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64)))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
Outputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(- (* -4 (/ y z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* -1 (/ y z))
(+ (* -1 (/ y z)) (/ x z))
(* -1 y)
(- x y)
-2
(- (* 4 (/ x z)) 2)
(/ x z)
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* -4 y)
(+ (* -4 y) (* 4 x))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (+ (* -1 (/ y (* x z))) (/ 1 z)))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ y x))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (/ y (* x z)) (/ 1 z))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ x (* -1 y))
(* -4 (/ y z))
(/ y z)
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (/ x (* y z)) (/ 1 z)))
(* y (- (/ x y) 1))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ x y)) 4))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (- x y) z)
(/ (+ (* -2 z) (* 4 x)) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/ -4 z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
Calls

9 calls:

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

simplify128.0ms (1.9%)

Memory
10.8MiB live, 201.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169591
1531542
21707499
35987499
08094456
Stop Event
iter limit
node limit
Counts
65 → 64
Calls
Call 1
Inputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(- (* -4 (/ y z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* -1 (/ y z))
(+ (* -1 (/ y z)) (/ x z))
(* -1 y)
(- x y)
-2
(- (* 4 (/ x z)) 2)
(/ x z)
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* -4 y)
(+ (* -4 y) (* 4 x))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (+ (* -1 (/ y (* x z))) (/ 1 z)))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ y x))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (/ y (* x z)) (/ 1 z))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ x (* -1 y))
(* -4 (/ y z))
(/ y z)
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (/ x (* y z)) (/ 1 z)))
(* y (- (/ x y) 1))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ x y)) 4))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (- x y) z)
(/ (+ (* -2 z) (* 4 x)) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/ -4 z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* -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 (-.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 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(+ (* -1 (/ y z)) (/ x z))
(/.f64 (-.f64 x y) z)
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
-2
#s(literal -2 binary64)
(- (* 4 (/ x z)) 2)
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(/ x z)
(/.f64 x z)
(* -4 (+ y (* 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)
(*.f64 #s(literal -4 binary64) y)
(+ (* -4 y) (* 4 x))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
(* x (+ (* -1 (/ y (* x z))) (/ 1 z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) z)
x
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -4 binary64) z)) x)
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)
(* x (+ 4 (* -4 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 4 binary64)) x)
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
(* -1 (* x (- (/ y (* x z)) (/ 1 z))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) z)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -4 binary64) z) (/.f64 #s(literal -2 binary64) 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 (/ y x)) 4)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 4 binary64)))
(* 4 (/ (- x (* 1/2 z)) z))
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(+ x (* -1 y))
(-.f64 x y)
(* -4 (/ y z))
(*.f64 (/.f64 y z) #s(literal -4 binary64))
(/ y z)
(/.f64 y z)
(* 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))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) y #s(literal -2 binary64))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) y #s(literal -2 binary64))
(* y (- (/ x (* y z)) (/ 1 z)))
(/.f64 (-.f64 x y) z)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(* y (- (* 4 (/ (- x (* 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 (- (* 4 (/ x y)) 4))
(*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64)) y)
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) y #s(literal -2 binary64))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) y #s(literal -2 binary64))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z))))
(/.f64 (-.f64 x y) z)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x 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 (+ 4 (* -4 (/ x y)))))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(* 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))
(/ (- x y) z)
(/.f64 (-.f64 x y) z)
(/ (+ (* -2 z) (* 4 x)) z)
(fma.f64 (/.f64 x 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))
(- (* 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 (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64))

rewrite234.0ms (3.5%)

Memory
7.1MiB live, 321.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028152
042152
1137152
2913152
08309146
Stop Event
iter limit
node limit
iter limit
Counts
16 → 204
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(/.f64 (-.f64 x y) z)
(-.f64 x y)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
(*.f64 (/.f64 y z) #s(literal -4 binary64))
(/.f64 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))
(/.f64 x z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(/.f64 #s(literal -4 binary64) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64)))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal -2 binary64)))))
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(neg.f64 (/.f64 x (neg.f64 z)))
#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 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 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 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 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 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 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 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 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 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 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 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.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))) (fma.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 #s(literal -8 binary64) (pow.f64 (*.f64 (/.f64 y z) #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 y z) #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 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 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 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 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 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 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 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 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64)))))))
(/.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 (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (-.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 (fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64)))) (*.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64)))) #s(literal -8 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64)))) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) y))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 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)) #s(literal 4 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) y)))))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal -8 binary64)) (neg.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.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))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) y))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) y))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) 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 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) z) y))
(-.f64 #s(literal -2 binary64) (*.f64 (/.f64 y (neg.f64 z)) #s(literal -4 binary64)))
(-.f64 #s(literal -2 binary64) (*.f64 (/.f64 y z) #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) y))))) (/.f64 #s(literal -8 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) y))))))
(+.f64 (/.f64 #s(literal -8 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) y))))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) y))))))
(+.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 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 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 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 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 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 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.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 -2 binary64) (*.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -4 binary64) z))) y))
(+.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 #s(literal -4 binary64) z)))
(+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 z)))
(/.f64 #s(literal -4 binary64) z)
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 #s(literal 4 binary64) (neg.f64 z))
(neg.f64 (/.f64 #s(literal 4 binary64) z))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (neg.f64 (neg.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64)))) (neg.f64 z))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
(neg.f64 (/.f64 (neg.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64)))) z))
(neg.f64 (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) (neg.f64 z)))
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64)))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 4 binary64))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 4 binary64))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 4 binary64)) (+.f64 y x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 4 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))

eval44.0ms (0.7%)

Memory
15.5MiB live, 61.5MiB allocated
Compiler

Compiled 9 761 to 1 090 computations (88.8% saved)

prune60.0ms (0.9%)

Memory
-27.3MiB live, 31.8MiB allocated
Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New2632265
Fresh112
Picked145
Done022
Total2659274
Accuracy
100.0%
Counts
274 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.0%
(/.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)
63.9%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
32.4%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
89.0%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) y #s(literal -2 binary64)))
69.8%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
69.7%
#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)))
35.6%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
35.6%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
Compiler

Compiled 167 to 136 computations (18.6% saved)

simplify162.0ms (2.4%)

Memory
15.2MiB live, 200.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 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
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64))
cost-diff0
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)
cost-diff0
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) y #s(literal -2 binary64)))
cost-diff3
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) y #s(literal -2 binary64))
cost-diff0
(/.f64 y z)
cost-diff0
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
cost-diff0
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029191
043191
174191
2163191
3382187
4995187
52293183
64565183
77878183
08659172
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#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 y z) #s(literal -4 binary64) #s(literal -2 binary64))
(/.f64 y z)
y
z
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) y #s(literal -2 binary64)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) y #s(literal -2 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
x
#s(literal -4 binary64)
z
#s(literal -2 binary64)
(/.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 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(/.f64 y z)
y
z
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #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) (-.f64 x y) #s(literal -2 binary64)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) y #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
x
#s(literal -4 binary64)
z
#s(literal -2 binary64)
(/.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

localize67.0ms (1%)

Memory
-2.3MiB live, 131.5MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.017910009768442016
(fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64))
accuracy0.26343176629303844
(/.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)
accuracy10.321659149348706
(*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)
accuracy29.327580844490218
#s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x))
accuracy0.0
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) y #s(literal -2 binary64)))
accuracy0.09765625
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64))
accuracy3.3238531916197225
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)
accuracy3.631308250825746
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) y #s(literal -2 binary64))
accuracy0.0
(/.f64 y z)
accuracy0.00390625
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
accuracy19.348779379914546
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
Samples
53.0ms256×0valid
Compiler

Compiled 135 to 30 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 13.0ms (36.3% of total)
ival-mult: 12.0ms (33.5% of total)
ival-sub: 5.0ms (14% of total)
ival-add: 5.0ms (14% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series30.0ms (0.5%)

Memory
-2.7MiB live, 49.8MiB allocated
Counts
12 → 85
Calls
Call 1
Inputs
#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 y z) #s(literal -4 binary64) #s(literal -2 binary64))
(/.f64 y z)
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) y #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) y #s(literal -2 binary64)))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64))
(/.f64 #s(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 z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(/ -4 z)
(- (* 4 (/ x (* y z))) (* 4 (/ 1 z)))
-4
(- (* 4 (/ x y)) 4)
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* -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))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* 4 (/ x (* y z)))
(* x (- (* 4 (/ 1 (* y z))) (* 4 (/ 1 (* x z)))))
(* 4 (/ x y))
(* x (- (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
4
(+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ 1 (* x z))) (* 4 (/ 1 (* y z))))))
(* -1 (* x (- (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
-2
(/ y z)
(- (* 4 (/ x z)) 2)
(/ (+ (* -4 (/ y z)) (* 4 (/ x z))) y)
(/ (+ (* -4 y) (* 4 x)) y)
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(* 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 (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* 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 (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) 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)
(/ (* y (- (* 4 (/ x y)) 4)) z)
(/ (+ (* -2 z) (* y (- (* 4 (/ x y)) 4))) z)
(/ (- (* 4 (/ x y)) 4) z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(* x (+ 4 (* -4 (/ y x))))
(+ (* -2 z) (* x (+ 4 (* -4 (/ y x)))))
(+ 4 (* -4 (/ y x)))
(- (* 4 (/ (- x y) z)) 2)
(- (/ (* y (- (* 4 (/ x y)) 4)) z) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* 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 (+ 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
8.0ms
y
@0
((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (+ (* (/ (+ (* (/ 4 y) x) -4) z) y) -2) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (+ (* (/ 4 y) x) -4) z) (+ (* (/ 4 y) x) -4) (/ (* 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))
7.0ms
x
@-inf
((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (+ (* (/ (+ (* (/ 4 y) x) -4) z) y) -2) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (+ (* (/ 4 y) x) -4) z) (+ (* (/ 4 y) x) -4) (/ (* 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) (+ (* (/ y z) -4) -2) (/ y z) (+ (* (/ (+ (* (/ 4 y) x) -4) z) y) -2) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (+ (* (/ 4 y) x) -4) z) (+ (* (/ 4 y) x) -4) (/ (* 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) (+ (* (/ y z) -4) -2) (/ y z) (+ (* (/ (+ (* (/ 4 y) x) -4) z) y) -2) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (+ (* (/ 4 y) x) -4) z) (+ (* (/ 4 y) x) -4) (/ (* 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
y
@-inf
((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (+ (* (/ (+ (* (/ 4 y) x) -4) z) y) -2) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (+ (* (/ 4 y) x) -4) z) (+ (* (/ 4 y) x) -4) (/ (* 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))

simplify143.0ms (2.1%)

Memory
20.4MiB live, 203.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0207852
1667779
22372731
08240654
Stop Event
iter limit
node limit
Counts
85 → 85
Calls
Call 1
Inputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(- (* -4 (/ y z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(/ -4 z)
(- (* 4 (/ x (* y z))) (* 4 (/ 1 z)))
-4
(- (* 4 (/ x y)) 4)
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* -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))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* 4 (/ x (* y z)))
(* x (- (* 4 (/ 1 (* y z))) (* 4 (/ 1 (* x z)))))
(* 4 (/ x y))
(* x (- (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
4
(+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ 1 (* x z))) (* 4 (/ 1 (* y z))))))
(* -1 (* x (- (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
-2
(/ y z)
(- (* 4 (/ x z)) 2)
(/ (+ (* -4 (/ y z)) (* 4 (/ x z))) y)
(/ (+ (* -4 y) (* 4 x)) y)
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(* 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 (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* 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 (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) 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)
(/ (* y (- (* 4 (/ x y)) 4)) z)
(/ (+ (* -2 z) (* y (- (* 4 (/ x y)) 4))) z)
(/ (- (* 4 (/ x y)) 4) z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(* x (+ 4 (* -4 (/ y x))))
(+ (* -2 z) (* x (+ 4 (* -4 (/ y x)))))
(+ 4 (* -4 (/ y x)))
(- (* 4 (/ (- x y) z)) 2)
(- (/ (* y (- (* 4 (/ x y)) 4)) z) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* 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 (+ 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 z)) 2)
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(- (* 4 (/ x (* y z))) (* 4 (/ 1 z)))
(/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z)
-4
#s(literal -4 binary64)
(- (* 4 (/ x y)) 4)
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64))
(* -4 (+ y (* 1/2 z)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64))
(* -4 (/ (+ 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))))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(* 4 (/ x (* y z)))
(*.f64 (/.f64 (/.f64 x z) y) #s(literal 4 binary64))
(* x (- (* 4 (/ 1 (* y z))) (* 4 (/ 1 (* x z)))))
(/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z)
(* 4 (/ x y))
(*.f64 (/.f64 x y) #s(literal 4 binary64))
(* x (- (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64))
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)))))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(* -1 (* x (- (* 4 (/ 1 (* x z))) (* 4 (/ 1 (* y z))))))
(/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z)
(* -1 (* x (- (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64))
(* -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)))
(* 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))
-2
#s(literal -2 binary64)
(/ y z)
(/.f64 y z)
(- (* 4 (/ x z)) 2)
(-.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal 2 binary64))
(/ (+ (* -4 (/ y z)) (* 4 (/ x z))) y)
(/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z)
(/ (+ (* -4 y) (* 4 x)) y)
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 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 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 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)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 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))
(* 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))))
(fma.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) (/.f64 y z) #s(literal -2 binary64))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) (/.f64 y z) #s(literal -2 binary64))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(*.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64)) #s(literal 4 binary64)) y)
(* y (- (/ (* 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 y x) #s(literal 4 binary64))))
(/ y x)
(/.f64 y x)
(* y (+ (* 1/2 (/ z (* x y))) (/ 1 x)))
(fma.f64 (*.f64 (/.f64 z x) #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 y x))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(fma.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) (/.f64 y z) #s(literal -2 binary64))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(fma.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) (/.f64 y z) #s(literal -2 binary64))
(* -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 (+ 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 y x) #s(literal 4 binary64))))
(* -1 (* y (- (* -1/2 (/ z (* x y))) (/ 1 x))))
(*.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 z x) y)) (/.f64 #s(literal 1 binary64) x)))
(* 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))
(/ (* y (- (* 4 (/ x y)) 4)) z)
(/.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) y) z)
(/ (+ (* -2 z) (* y (- (* 4 (/ x y)) 4))) z)
(fma.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) (/.f64 y z) #s(literal -2 binary64))
(/ (- (* 4 (/ x y)) 4) z)
(/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z)
(* 4 (- x y))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(+ (* -2 z) (* 4 (- x y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64))
(* x (+ 4 (* -4 (/ y x))))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(+ (* -2 z) (* x (+ 4 (* -4 (/ y x)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 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))
(- (/ (* y (- (* 4 (/ x y)) 4)) z) 2)
(fma.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) (/.f64 y z) #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)
(* 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 (+ 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)))))
(neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) z (/.f64 (neg.f64 y) x)))

rewrite246.0ms (3.7%)

Memory
-30.3MiB live, 211.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029170
043170
1178170
21196170
08198161
Stop Event
iter limit
node limit
iter limit
Counts
12 → 219
Calls
Call 1
Inputs
#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 y z) #s(literal -4 binary64) #s(literal -2 binary64))
(/.f64 y z)
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) y #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) y #s(literal -2 binary64)))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64))
(/.f64 #s(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 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 y z)) (*.f64 #s(literal 4 binary64) (/.f64 y z)))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 y z))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (/.f64 y z)) #s(literal -4 binary64)) (*.f64 (neg.f64 (/.f64 y z)) #s(literal -4 binary64)))) (+.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (/.f64 y z)) #s(literal -4 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) #s(literal 8 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) #s(literal 8 binary64)))))) (*.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) #s(literal 8 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) #s(literal 8 binary64))))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) #s(literal 8 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) #s(literal 8 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64)))))))
(/.f64 (-.f64 #s(literal -8 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) (/.f64 y z)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (/.f64 y z)) (*.f64 #s(literal 4 binary64) (/.f64 y z)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 y z))))))
(/.f64 (-.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (neg.f64 (/.f64 y z)) #s(literal -4 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (neg.f64 (/.f64 y z)) #s(literal -4 binary64)) (*.f64 (neg.f64 (/.f64 y z)) #s(literal -4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (/.f64 y z)) #s(literal -4 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) #s(literal 8 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) #s(literal 8 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) #s(literal 8 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) #s(literal 8 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) #s(literal 8 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) #s(literal 8 binary64)))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) #s(literal 8 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) #s(literal 8 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 y z)))))
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(/.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)))))
(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 (neg.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x))) #s(literal -4 binary64)))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x))))
(+.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 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)))
#s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x))

eval69.0ms (1%)

Memory
21.1MiB live, 65.4MiB allocated
Compiler

Compiled 13 368 to 1 341 computations (90% saved)

prune9.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New2710271
Fresh000
Picked033
Done066
Total2719280
Accuracy
100.0%
Counts
280 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.0%
(/.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)
63.9%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
32.4%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
89.0%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) y #s(literal -2 binary64)))
69.8%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
69.7%
#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)))
35.6%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
35.6%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
Compiler

Compiled 491 to 219 computations (55.4% saved)

regimes90.0ms (1.4%)

Memory
-10.9MiB live, 35.0MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 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)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z)
(/.f64 (*.f64 #s(literal 4 binary64) #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)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) y #s(literal -2 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal -1/2 binary64) z x) #s(literal -4 binary64)) y)) 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)
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) z))) z)
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
Calls

5 calls:

6.0ms
(-.f64 x y)
6.0ms
z
5.0ms
x
5.0ms
y
5.0ms
(/.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)

regimes199.0ms (3%)

Memory
-31.1MiB live, 22.2MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 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)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
Outputs
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #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:

186.0ms
y
3.0ms
z
3.0ms
x
3.0ms
(-.f64 x y)
3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
88.0%3x
88.7%3y
86.5%3z
98.0%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
81.8%3(-.f64 x y)
Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes6.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 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)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
Calls

2 calls:

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
88.7%3y
76.0%2(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes3.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 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 (/.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)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
88.6%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory
18.4MiB live, 18.4MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 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) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
Calls

4 calls:

2.0ms
z
2.0ms
(-.f64 x y)
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
66.9%1(-.f64 x y)
72.6%3z
73.4%3x
81.6%3y
Compiler

Compiled 6 to 13 computations (-116.7% saved)

regimes15.0ms (0.2%)

Memory
-30.2MiB live, 13.7MiB allocated
Counts
3 → 5
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
Calls

3 calls:

11.0ms
x
2.0ms
y
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
60.0%5x
75.9%5(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
58.9%5y
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes5.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))
Calls

3 calls:

1.0ms
z
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
52.7%3(-.f64 x y)
55.5%3z
68.2%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
16.4MiB live, 16.4MiB 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
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
1.0ms
x
1.0ms
(-.f64 x y)
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
35.6%1(-.f64 x y)
35.6%1z
35.6%1y
35.6%1x
35.6%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 17 to 23 computations (-35.3% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
12465780458.763592
423915647403192000.0
0.0ms
-6.654934391482183e+41
-907766456041710.1
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch225.0ms (3.4%)

Memory
-16.6MiB live, 28.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
212.0ms
5.527039066612535e+58
2.439820930439591e+60
10.0ms
-2.744598438268601e+63
-4.9322641835066363e+61
Samples
12.0ms224×0valid
Compiler

Compiled 518 to 464 computations (10.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (42.2% of total)
ival-sub: 2.0ms (28.2% of total)
ival-div: 1.0ms (14.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.527039066612535e+58
2.439820930439591e+60
1.0ms
-2.744598438268601e+63
-4.9322641835066363e+61
Compiler

Compiled 518 to 464 computations (10.4% saved)

bsearch63.0ms (0.9%)

Memory
4.3MiB live, 48.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
44.0ms
1.0395619102526875e+122
4.862088914974431e+125
15.0ms
-1.842578310964944e+138
-1.0863391280458128e+124
Samples
16.0ms288×0valid
Compiler

Compiled 644 to 574 computations (10.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 3.0ms (34% of total)
ival-mult: 3.0ms (34% of total)
ival-div: 2.0ms (22.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.931438573401651e+105
3.2116539351311125e+114
0.0ms
-0.1694050122099855
3.9400054679949323
0.0ms
-346005.16720264754
-357.556897627715
0.0ms
-7.718633691381695e+159
-1.7107731307287902e+153
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.1694050122099855
3.9400054679949323
0.0ms
-6.654934391482183e+41
-907766456041710.1
Compiler

Compiled 14 to 16 computations (-14.3% saved)

simplify72.0ms (1.1%)

Memory
-2.8MiB live, 53.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
072423
1101423
2146423
3231423
4395395
5799395
61624395
73815395
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #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 -500000000000000022442856339037958392774656 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 20000000000 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 y #s(literal -51999999999999994513635650035929218965537601673707051034869760 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) (if (<=.f64 y #s(literal 369999999999999997329776602859435642682265810381782011346944 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 y z) #s(literal -4 binary64) #s(literal -2 binary64)))))
(if (<=.f64 y #s(literal -51999999999999994513635650035929218965537601673707051034869760 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 369999999999999997329776602859435642682265810381782011346944 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 -27999999999999999963014798172773937733993709529992061010898970261629723821738259693232519926214324553097960214178813572022272 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64))) (if (<=.f64 y #s(literal 520000000000000014830288316535771242186808548629400778220312003003094016719740170497842143136928957442687643305542611369984 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) (*.f64 (/.f64 y z) #s(literal -4 binary64)))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -5000000000000000032642038725341132784228321074443133559224422272760255888919090571255168754994433517908171235093587892596875058824271765178092274325219140698112 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -200000 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 -3602879701896397/36028797018963968 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 10000000000000000910359990503684350104604539951754865571545457374840902895351334152154180097541612190564352 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 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 -500000000000000022442856339037958392774656 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #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 -500000000000000022442856339037958392774656 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 20000000000 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 -500000000000000022442856339037958392774656 binary64)) (not (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 20000000000 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 y #s(literal -51999999999999994513635650035929218965537601673707051034869760 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) (if (<=.f64 y #s(literal 369999999999999997329776602859435642682265810381782011346944 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 y z) #s(literal -4 binary64) #s(literal -2 binary64)))))
(if (or (<=.f64 y #s(literal -51999999999999994513635650035929218965537601673707051034869760 binary64)) (not (<=.f64 y #s(literal 369999999999999997329776602859435642682265810381782011346944 binary64)))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))))
(if (<=.f64 y #s(literal -51999999999999994513635650035929218965537601673707051034869760 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 369999999999999997329776602859435642682265810381782011346944 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 (or (<=.f64 y #s(literal -51999999999999994513635650035929218965537601673707051034869760 binary64)) (not (<=.f64 y #s(literal 369999999999999997329776602859435642682265810381782011346944 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 -27999999999999999963014798172773937733993709529992061010898970261629723821738259693232519926214324553097960214178813572022272 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64))) (if (<=.f64 y #s(literal 520000000000000014830288316535771242186808548629400778220312003003094016719740170497842143136928957442687643305542611369984 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) (*.f64 (/.f64 y z) #s(literal -4 binary64)))))
(if (or (<=.f64 y #s(literal -27999999999999999963014798172773937733993709529992061010898970261629723821738259693232519926214324553097960214178813572022272 binary64)) (not (<=.f64 y #s(literal 520000000000000014830288316535771242186808548629400778220312003003094016719740170497842143136928957442687643305542611369984 binary64)))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 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 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -5000000000000000032642038725341132784228321074443133559224422272760255888919090571255168754994433517908171235093587892596875058824271765178092274325219140698112 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -200000 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 -3602879701896397/36028797018963968 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 10000000000000000910359990503684350104604539951754865571545457374840902895351334152154180097541612190564352 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 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 -500000000000000022442856339037958392774656 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64)))))
(if (or (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -500000000000000022442856339037958392774656 binary64)) (not (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -3602879701896397/36028797018963968 binary64)))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 y z) #s(literal -4 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

soundness1.2s (18%)

Memory
-11.7MiB live, 869.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028152
042152
1137152
2913152
08309146
0127437
1408403
21361386
34687386
08202350
0186713
1604676
22145657
08032595
028185
042177
1145177
2899177
08225177
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 593 to 252 computations (57.5% saved)

preprocess127.0ms (1.9%)

Memory
1.0MiB live, 234.2MiB allocated
Compiler

Compiled 894 to 196 computations (78.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...