Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

Time bar (total: 4.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.1s (26.5%)

Memory
16.9MiB live, 685.0MiB allocated
Samples
731.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 314.0ms
ival-add: 128.0ms (40.8% of total)
ival-div: 117.0ms (37.3% of total)
ival-mult: 54.0ms (17.2% of total)
ival-true: 6.0ms (1.9% of total)
exact: 5.0ms (1.6% of total)
ival-assert: 4.0ms (1.3% of total)
Bogosity

explain231.0ms (5.7%)

Memory
-39.7MiB live, 90.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(/.f64 x #s(literal 2 binary64))
00-0-z
00-0-(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
00-0-(*.f64 y x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
139.0ms512×0valid
Compiler

Compiled 68 to 28 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 5.0ms (39.6% of total)
ival-mult: 4.0ms (31.7% of total)
ival-div: 3.0ms (23.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess75.0ms (1.9%)

Memory
12.7MiB live, 51.9MiB allocated
Algorithm
egg-herbie
Rules
193×distribute-rgt-in
168×sub-neg
134×unsub-neg
115×associate-+l-
113×cancel-sign-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03288
18882
223281
366269
4116665
5171463
6219063
7237663
8242463
9243263
10243263
089
0129
1179
2249
3269
0268
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
Outputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(fma.f64 y x (+.f64 z (/.f64 x #s(literal 2 binary64))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(/.f64 x #s(literal 2 binary64))
cost-diff0
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
cost-diff128
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Rules
12×lower-+.f32
10×lower-+.f64
lower-fma.f64
lower-fma.f32
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
01226
11726
22426
32626
02624
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 y x)
y
z
Outputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(fma.f64 y x (+.f64 z (/.f64 x #s(literal 2 binary64))))
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 y x (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 y x)
y
z

localize24.0ms (0.6%)

Memory
-3.1MiB live, 35.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x #s(literal 2 binary64))
accuracy0
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
accuracy0
(*.f64 y x)
accuracy0.015625
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Samples
17.0ms256×0valid
Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (33.3% of total)
ival-add: 2.0ms (33.3% of total)
ival-mult: 2.0ms (33.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())
#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt (* x (+ 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* 1/2 x)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
Calls

24 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+ (/ x 2) (* y x))
1.0ms
x
@-inf
(/ x 2)
1.0ms
x
@0
(+ (/ x 2) (* y x))
1.0ms
x
@-inf
(+ (/ x 2) (* y x))
0.0ms
y
@0
(+ (/ x 2) (* y x))

simplify180.0ms (4.5%)

Memory
-20.4MiB live, 130.9MiB allocated
Algorithm
egg-herbie
Rules
3 217×lower-fma.f64
3 217×lower-fma.f32
1 237×lower-*.f64
1 237×lower-*.f32
678×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057440
1174440
2488440
31310440
43612440
56659440
08189412
Stop Event
iter limit
node limit
Counts
96 → 93
Calls
Call 1
Inputs
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (* -1 y) 1/2)))
(* 1/2 x)
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(* x y)
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(+ (* 1/2 x) (* x y))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 x) (* x y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(+ (* 1/2 x) (* x y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(+ (* 1/2 x) (* x y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x y)
(*.f64 y x)
(* y (+ x (* 1/2 (/ x y))))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* y (+ x (* 1/2 (/ x y))))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* y (+ x (* 1/2 (/ x y))))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
z
(+ z (* x (+ 1/2 y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (* x (+ 1/2 y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (* x (+ 1/2 y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* x y)
(*.f64 y x)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ (* 1/2 x) (* x y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite264.0ms (6.6%)

Memory
31.7MiB live, 386.6MiB allocated
Rules
3 537×lower-fma.f64
3 537×lower-fma.f32
2 178×lower-*.f32
2 177×lower-*.f64
1 289×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
01222
15218
245218
3607718
0804017
Stop Event
iter limit
node limit
iter limit
Counts
4 → 242
Calls
Call 1
Inputs
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(/.f64 x #s(literal 2 binary64))
(*.f64 y x)
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y)))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) y) (+.f64 #s(literal 1/2 binary64) y))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x)) (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x))))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 x (-.f64 y #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x)) (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x))) (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/64 binary64)))) (fma.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x)) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 1/2 binary64) y)))
(*.f64 (+.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))
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(fma.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) x) (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z)))))
(fma.f64 (fma.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (fma.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) z)
(fma.f64 (fma.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) z)
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) z)
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (fma.f64 y x z))
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z)))))
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) z)
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) z)
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (fma.f64 y x z))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y x z))
(fma.f64 x y (fma.f64 #s(literal 1/2 binary64) x z))
(-.f64 (+.f64 z (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) x) (+.f64 #s(literal 1/2 binary64) y)) (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) z)) (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) z)))
(-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z)))) (/.f64 (*.f64 z z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) z))
(-.f64 (fma.f64 y x z) (*.f64 #s(literal -1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))) #s(literal -1 binary64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 y x))
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z)))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z)))))
(+.f64 (fma.f64 y x z) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z)
(+.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x z))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y x z))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)

eval58.0ms (1.4%)

Memory
-27.9MiB live, 100.9MiB allocated
Compiler

Compiled 7 883 to 738 computations (90.6% saved)

prune47.0ms (1.2%)

Memory
-0.5MiB live, 117.3MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3305335
Fresh000
Picked101
Done000
Total3315336
Accuracy
100.0%
Counts
336 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
76.2%
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
66.1%
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
59.6%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
36.4%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
Compiler

Compiled 84 to 52 computations (38.1% saved)

simplify6.0ms (0.2%)

Memory
14.1MiB live, 14.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (+ (/ x 2) (* y x)) (*.f64 y x))
cost-diff0
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
cost-diff0
(-.f64 y #s(literal -1/2 binary64))
cost-diff0
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
cost-diff0
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) x z)
cost-diff0
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
cost-diff0
(+.f64 #s(literal 1/2 binary64) y)
cost-diff0
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
Rules
26×lower-+.f32
24×lower-+.f64
18×lower-fma.f32
16×lower-fma.f64
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021108
030108
144108
253108
359108
059103
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(+.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
z
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 #s(literal 1/2 binary64) x z)
#s(literal 1/2 binary64)
x
z
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(-.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
x
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
#s(approx (+ (/ x 2) (* y x)) (*.f64 y x))
(*.f64 y x)
y
x
z
Outputs
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z)
(+.f64 #s(literal 1/2 binary64) y)
(-.f64 y #s(literal -1/2 binary64))
#s(literal 1/2 binary64)
y
x
z
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z))
(fma.f64 #s(literal 1/2 binary64) x z)
(fma.f64 x #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
x
z
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x (-.f64 y #s(literal -1/2 binary64))))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(-.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
x
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)
#s(approx (+ (/ x 2) (* y x)) (*.f64 y x))
#s(approx (+ (/ x 2) (* y x)) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
z

localize48.0ms (1.2%)

Memory
7.6MiB live, 84.8MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
accuracy0
(*.f64 y x)
accuracy30.985562029024106
#s(approx (+ (/ x 2) (* y x)) (*.f64 y x))
accuracy0
(-.f64 y #s(literal -1/2 binary64))
accuracy0.0078125
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
accuracy25.837549855623575
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
accuracy0
(fma.f64 #s(literal 1/2 binary64) x z)
accuracy21.69083219704038
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
accuracy0
(*.f64 y x)
accuracy40.70824435101868
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
accuracy0
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
accuracy0
(+.f64 #s(literal 1/2 binary64) y)
Samples
28.0ms256×0valid
Compiler

Compiled 89 to 19 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 7.0ms (44.7% of total)
ival-add: 6.0ms (38.3% of total)
ival-div: 2.0ms (12.8% of total)
ival-sub: 1.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.4%)

Memory
-20.1MiB live, 20.0MiB allocated
Counts
11 → 300
Calls
Call 1
Inputs
#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/2 binary64) y) (patch (+.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) x z) (patch (fma.f64 #s(literal 1/2 binary64) x z) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) (patch (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #<representation binary64>) () ())
#s(alt (-.f64 y #s(literal -1/2 binary64)) (patch (-.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) (patch (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #<representation binary64>) () ())
Outputs
#s(alt (+ z (* 1/2 x)) (taylor 0 y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 x) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 y) (#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 y) (#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 y) (#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 y) (#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #<representation binary64>) () ())) ())
Calls

75 calls:

TimeVariablePointExpression
4.0ms
x
@0
(+ (+ (/ x 2) (* y x)) z)
0.0ms
x
@-inf
(+ (* (+ 1/2 y) x) z)
0.0ms
y
@inf
(+ (* (+ 1/2 y) x) z)
0.0ms
y
@0
(+ (* (+ 1/2 y) x) z)
0.0ms
y
@-inf
(+ (* (+ 1/2 y) x) z)

simplify132.0ms (3.3%)

Memory
20.8MiB live, 133.1MiB allocated
Algorithm
egg-herbie
Rules
3 276×lower-fma.f64
3 276×lower-fma.f32
1 186×lower-*.f64
1 186×lower-*.f32
701×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831552
12701552
27221552
320211552
441631552
562261552
675381552
080371394
Stop Event
iter limit
node limit
Counts
300 → 278
Calls
Call 1
Inputs
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 y))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(* x (+ 1/2 y))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
z
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
z
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
1/2
(+ 1/2 y)
(+ 1/2 y)
(+ 1/2 y)
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(+ (* 1/2 x) (* x y))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(+ (* 1/2 x) (* x y))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
z
(+ z (* 1/2 x))
(+ z (* 1/2 x))
(+ z (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ z x)))
(* x (+ 1/2 (/ z x)))
(* x (+ 1/2 (/ z x)))
(* 1/2 x)
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(* 1/2 x)
(+ z (* 1/2 x))
(+ z (* 1/2 x))
(+ z (* 1/2 x))
z
(* z (+ 1 (* 1/2 (/ x z))))
(* z (+ 1 (* 1/2 (/ x z))))
(* z (+ 1 (* 1/2 (/ x z))))
z
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(+ (* 1/2 x) (* x y))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* 1/2 x)
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(* x y)
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
1/2
(+ 1/2 y)
(+ 1/2 y)
(+ 1/2 y)
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(+ (* 1/2 x) (* x y))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (* -1 y) 1/2)))
(* 1/2 x)
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(* x y)
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
Outputs
(+ z (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* x y)
(*.f64 y x)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
z
(+ z (* x (+ 1/2 y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (* x (+ 1/2 y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (* x (+ 1/2 y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(+ z (* x (+ 1/2 y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (* x (+ 1/2 y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (* x (+ 1/2 y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
z
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
z
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
1/2
#s(literal 1/2 binary64)
(+ 1/2 y)
(-.f64 y #s(literal -1/2 binary64))
(+ 1/2 y)
(-.f64 y #s(literal -1/2 binary64))
(+ 1/2 y)
(-.f64 y #s(literal -1/2 binary64))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(-.f64 y #s(literal -1/2 binary64))
(* y (+ 1 (* 1/2 (/ 1 y))))
(-.f64 y #s(literal -1/2 binary64))
(* y (+ 1 (* 1/2 (/ 1 y))))
(-.f64 y #s(literal -1/2 binary64))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(-.f64 y #s(literal -1/2 binary64))
(* y (+ 1 (* 1/2 (/ 1 y))))
(-.f64 y #s(literal -1/2 binary64))
(* y (+ 1 (* 1/2 (/ 1 y))))
(-.f64 y #s(literal -1/2 binary64))
z
(+ z (* x (+ 1/2 y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (* x (+ 1/2 y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (* x (+ 1/2 y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) z)
(+ z (+ (* 1/2 x) (* x y)))
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(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)

rewrite226.0ms (5.6%)

Memory
-31.0MiB live, 341.2MiB allocated
Rules
4 670×lower-fma.f32
4 668×lower-fma.f64
2 393×lower-*.f32
2 391×lower-*.f64
1 832×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02190
03090
113977
2104277
0872277
Stop Event
iter limit
node limit
iter limit
Counts
11 → 380
Calls
Call 1
Inputs
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(+.f64 #s(literal 1/2 binary64) y)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
(*.f64 y x)
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 #s(literal 1/2 binary64) x z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(-.f64 y #s(literal -1/2 binary64))
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
#s(approx (+ (/ x 2) (* y x)) (*.f64 y x))
Outputs
(*.f64 (*.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z)))
(*.f64 (*.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z) (-.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (fma.f64 x y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z) (neg.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))))
(*.f64 (neg.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (-.f64 y #s(literal -1/2 binary64))) x (*.f64 z (-.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64)))))))))
(*.f64 (*.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z))
(*.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))))))
(*.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (-.f64 y #s(literal -1/2 binary64))) x (*.f64 z (-.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (*.f64 x (-.f64 y #s(literal -1/2 binary64)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) (/.f64 (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (*.f64 x (-.f64 y #s(literal -1/2 binary64)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))) (*.f64 (/.f64 (*.f64 z z) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))))) (+.f64 (/.f64 (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (*.f64 x (-.f64 y #s(literal -1/2 binary64)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))))
(/.f64 (-.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 x #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (*.f64 y y) x) x)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) z) (*.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (*.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 x #s(literal 1/2 binary64) z))) (-.f64 (*.f64 x y) (fma.f64 x #s(literal 1/2 binary64) z)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (*.f64 x (-.f64 y #s(literal -1/2 binary64)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (*.f64 x (-.f64 y #s(literal -1/2 binary64)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) (/.f64 (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (*.f64 x (-.f64 y #s(literal -1/2 binary64)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) (fma.f64 (/.f64 (*.f64 z z) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) (*.f64 (/.f64 (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (*.f64 x (-.f64 y #s(literal -1/2 binary64)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))))))
(/.f64 (fma.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (fma.f64 x y z) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64))) (fma.f64 (fma.f64 x y z) (fma.f64 x y z) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) x) x) (*.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) x) y)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 x #s(literal 1/2 binary64) z) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (*.f64 (fma.f64 x #s(literal 1/2 binary64) z) (*.f64 x y)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) x) y (pow.f64 (fma.f64 x #s(literal 1/2 binary64) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) x (-.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 x #s(literal 1/2 binary64) z)) (*.f64 (*.f64 x y) (fma.f64 x #s(literal 1/2 binary64) z)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z))) (neg.f64 (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z) (-.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64)))))) (neg.f64 (-.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (fma.f64 x y z)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z) (neg.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (-.f64 y #s(literal -1/2 binary64))) x (*.f64 z (-.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (*.f64 x (-.f64 y #s(literal -1/2 binary64)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) (*.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))))
(/.f64 (fma.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (/.f64 #s(literal -2 binary64) x) (*.f64 (fma.f64 x y (neg.f64 z)) #s(literal -1 binary64))) (*.f64 (fma.f64 x y (neg.f64 z)) (/.f64 #s(literal -2 binary64) x)))
(/.f64 (fma.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (/.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 x y (neg.f64 z)) #s(literal 1 binary64))) (*.f64 (fma.f64 x y (neg.f64 z)) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) #s(literal -2 binary64) (*.f64 (fma.f64 x y (neg.f64 z)) (neg.f64 x))) (*.f64 (fma.f64 x y (neg.f64 z)) #s(literal -2 binary64)))
(/.f64 (fma.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) #s(literal 2 binary64) (*.f64 (fma.f64 x y (neg.f64 z)) x)) (*.f64 (fma.f64 x y (neg.f64 z)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) x) y (*.f64 (*.f64 z z) z)) (/.f64 #s(literal -2 binary64) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))) (/.f64 #s(literal -2 binary64) x)))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) x) y (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) x) y (*.f64 (*.f64 z z) z)) #s(literal -2 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))) (neg.f64 x))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))) #s(literal -2 binary64)))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) x) y (*.f64 (*.f64 z z) z)) #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))) x)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x y (neg.f64 z)) (*.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))))) (*.f64 (/.f64 #s(literal -2 binary64) x) (fma.f64 x y (neg.f64 z))))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))) (*.f64 (/.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) x) y (*.f64 (*.f64 z z) z)))) (*.f64 (/.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z)) (*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))))) (*.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 x y (neg.f64 z))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))) (*.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) x) y (*.f64 (*.f64 z z) z)))) (*.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y))))))
(/.f64 (fma.f64 (neg.f64 x) (fma.f64 x y (neg.f64 z)) (*.f64 #s(literal -2 binary64) (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))))) (*.f64 #s(literal -2 binary64) (fma.f64 x y (neg.f64 z))))
(/.f64 (fma.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))) (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) x) y (*.f64 (*.f64 z z) z)))) (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y))))))
(/.f64 (fma.f64 x (fma.f64 x y (neg.f64 z)) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))))) (*.f64 #s(literal 2 binary64) (fma.f64 x y (neg.f64 z))))
(/.f64 (fma.f64 x (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) x) y (*.f64 (*.f64 z z) z)))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y))))))
(/.f64 (*.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z)) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z))
(/.f64 (*.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z) (-.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64))))) (-.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (fma.f64 x y z))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z) (neg.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))) (neg.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z))) (neg.f64 (fma.f64 (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (-.f64 y #s(literal -1/2 binary64))) x (*.f64 z (-.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z))))
(/.f64 (*.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z) (*.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64)))) (*.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z) (-.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (fma.f64 x y z)))))
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(*.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))))))
(*.f64 (*.f64 (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (/.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))) (*.f64 (/.f64 (*.f64 z z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (/.f64 (*.f64 z z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))) (+.f64 (/.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (/.f64 (*.f64 z z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (/.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (fma.f64 (/.f64 (*.f64 z z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (/.f64 (*.f64 z z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (*.f64 (/.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (/.f64 (*.f64 z z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))))) (neg.f64 (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))) (neg.f64 (neg.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (*.f64 (*.f64 z z) z)))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (*.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) (*.f64 z z))) (*.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))
(/.f64 (*.f64 (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))))
(/.f64 (*.f64 (neg.f64 (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (neg.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (*.f64 (*.f64 z z) z))) (neg.f64 (fma.f64 z z (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (*.f64 (*.f64 z z) z))) (neg.f64 (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))))
(/.f64 (*.f64 (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (*.f64 (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))) (fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (*.f64 (*.f64 z z) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))
(/.f64 (fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (*.f64 (*.f64 z z) z)) (fma.f64 z z (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))))
(/.f64 (fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (*.f64 (*.f64 z z) z)) (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (*.f64 (*.f64 z z) z))) (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))))))
(neg.f64 (/.f64 (*.f64 (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (neg.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (*.f64 (*.f64 z z) z)) (neg.f64 (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))))))
(fma.f64 #s(literal 1 binary64) z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))
(fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))) (/.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))))
(-.f64 (/.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (/.f64 (*.f64 z z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))
(+.f64 (/.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))))
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)
(+.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))
#s(approx (+ (/ x 2) (* y x)) (*.f64 x y))

eval76.0ms (1.9%)

Memory
4.4MiB live, 158.3MiB allocated
Compiler

Compiled 10 748 to 894 computations (91.7% saved)

prune71.0ms (1.8%)

Memory
10.0MiB live, 170.3MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New6851686
Fresh000
Picked055
Done000
Total6856691
Accuracy
100.0%
Counts
691 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
76.2%
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
66.1%
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
59.6%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
26.0%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
36.4%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
Compiler

Compiled 50 to 31 computations (38% saved)

simplify5.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- y -1/2) #s(literal 1/2 binary64))
cost-diff0
(*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)
cost-diff0
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
Rules
14×lower-+.f64
14×lower-+.f32
lower-fma.f64
lower-fma.f32
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01431
01531
12331
23131
33331
03330
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)
#s(approx (- y -1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)
#s(approx (- y -1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x

localize25.0ms (0.6%)

Memory
13.0MiB live, 51.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)
accuracy25.837549855623575
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
accuracy31.63383558372437
#s(approx (- y -1/2) #s(literal 1/2 binary64))
Samples
17.0ms256×0valid
Compiler

Compiled 21 to 14 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 3.0ms (29.7% of total)
ival-div: 2.0ms (19.8% of total)
ival-sub: 2.0ms (19.8% of total)
ival-add: 2.0ms (19.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
-33.3MiB live, 5.6MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (- y -1/2) #s(literal 1/2 binary64)) (patch #s(approx (- y -1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt z (taylor 0 x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ z (* 1/2 x)) (taylor 0 y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 y) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor 0 x) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor 0 x) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor 0 x) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor 0 x) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 y) (#s(alt #s(approx (- y -1/2) #s(literal 1/2 binary64)) (patch #s(approx (- y -1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 y) (taylor 0 y) (#s(alt #s(approx (- y -1/2) #s(literal 1/2 binary64)) (patch #s(approx (- y -1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 y) (taylor 0 y) (#s(alt #s(approx (- y -1/2) #s(literal 1/2 binary64)) (patch #s(approx (- y -1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 y) (taylor 0 y) (#s(alt #s(approx (- y -1/2) #s(literal 1/2 binary64)) (patch #s(approx (- y -1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt #s(approx (- y -1/2) #s(literal 1/2 binary64)) (patch #s(approx (- y -1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor inf y) (#s(alt #s(approx (- y -1/2) #s(literal 1/2 binary64)) (patch #s(approx (- y -1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor inf y) (#s(alt #s(approx (- y -1/2) #s(literal 1/2 binary64)) (patch #s(approx (- y -1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor inf y) (#s(alt #s(approx (- y -1/2) #s(literal 1/2 binary64)) (patch #s(approx (- y -1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt #s(approx (- y -1/2) #s(literal 1/2 binary64)) (patch #s(approx (- y -1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- y -1/2) #s(literal 1/2 binary64)) (patch #s(approx (- y -1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- y -1/2) #s(literal 1/2 binary64)) (patch #s(approx (- y -1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- y -1/2) #s(literal 1/2 binary64)) (patch #s(approx (- y -1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+ (+ (/ x 2) (* y x)) z)
0.0ms
x
@-inf
(+ (+ (/ x 2) (* y x)) z)
0.0ms
x
@inf
(+ (+ (/ x 2) (* y x)) z)
0.0ms
y
@-inf
(+ (+ (/ x 2) (* y x)) z)
0.0ms
z
@-inf
(+ (+ (/ x 2) (* y x)) z)

simplify139.0ms (3.5%)

Memory
28.8MiB live, 189.7MiB allocated
Algorithm
egg-herbie
Rules
3 841×lower-fma.f64
3 841×lower-fma.f32
1 536×lower-*.f64
1 536×lower-*.f32
687×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061362
1189362
2515362
31568362
43482362
56314362
08424334
Stop Event
iter limit
node limit
Counts
72 → 67
Calls
Call 1
Inputs
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(+ (* 1/2 x) (* x y))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* 1/2 x)
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(* x y)
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
1/2
(+ 1/2 y)
(+ 1/2 y)
(+ 1/2 y)
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
Outputs
z
(+ z (* x (+ 1/2 y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (* x (+ 1/2 y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (* x (+ 1/2 y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* x y)
(*.f64 y x)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ (* 1/2 x) (* x y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 x) (* x y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(+ (* 1/2 x) (* x y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(+ (* 1/2 x) (* x y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x y)
(*.f64 y x)
(* y (+ x (* 1/2 (/ x y))))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* y (+ x (* 1/2 (/ x y))))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* y (+ x (* 1/2 (/ x y))))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 y)
(-.f64 y #s(literal -1/2 binary64))
(+ 1/2 y)
(-.f64 y #s(literal -1/2 binary64))
(+ 1/2 y)
(-.f64 y #s(literal -1/2 binary64))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(-.f64 y #s(literal -1/2 binary64))
(* y (+ 1 (* 1/2 (/ 1 y))))
(-.f64 y #s(literal -1/2 binary64))
(* y (+ 1 (* 1/2 (/ 1 y))))
(-.f64 y #s(literal -1/2 binary64))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(-.f64 y #s(literal -1/2 binary64))
(* y (+ 1 (* 1/2 (/ 1 y))))
(-.f64 y #s(literal -1/2 binary64))
(* y (+ 1 (* 1/2 (/ 1 y))))
(-.f64 y #s(literal -1/2 binary64))

rewrite195.0ms (4.9%)

Memory
-18.4MiB live, 252.8MiB allocated
Rules
3 802×lower-fma.f64
3 802×lower-fma.f32
2 174×lower-*.f32
2 173×lower-*.f64
1 541×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01429
01529
17127
256127
3688727
0816126
Stop Event
iter limit
node limit
iter limit
Counts
3 → 4
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)
#s(approx (- y -1/2) #s(literal 1/2 binary64))
Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)
(*.f64 x #s(approx (- y -1/2) #s(literal 1/2 binary64)))
#s(approx (- y -1/2) #s(literal 1/2 binary64))

eval6.0ms (0.2%)

Memory
15.8MiB live, 15.8MiB allocated
Compiler

Compiled 473 to 12 computations (97.5% saved)

prune5.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New71071
Fresh000
Picked011
Done055
Total71677
Accuracy
100.0%
Counts
77 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
76.2%
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
66.1%
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
59.6%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
26.0%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
36.4%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
Compiler

Compiled 94 to 48 computations (48.9% saved)

regimes18.0ms (0.4%)

Memory
-4.7MiB live, 33.9MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
Outputs
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
Calls

5 calls:

5.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
3.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
3.0ms
z
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
100.0%1(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes15.0ms (0.4%)

Memory
-9.7MiB live, 28.8MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
Outputs
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
Calls

5 calls:

5.0ms
z
2.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
2.0ms
x
2.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
2.0ms
y
Results
AccuracySegmentsBranch
90.9%3x
99.7%3y
89.8%3z
76.2%1(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
87.4%3(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes9.0ms (0.2%)

Memory
18.6MiB live, 18.6MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
Calls

4 calls:

2.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
2.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
87.4%3(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
82.7%3z
81.1%3x
86.0%3y
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes7.0ms (0.2%)

Memory
-36.0MiB live, 9.2MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
Calls

2 calls:

5.0ms
y
2.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Results
AccuracySegmentsBranch
86.0%3y
78.7%3(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes8.0ms (0.2%)

Memory
18.3MiB live, 18.3MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
Calls

5 calls:

2.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
2.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
2.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
36.4%1(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
36.4%1(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
40.8%3x
36.4%1z
59.3%3y
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes4.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
Calls

3 calls:

1.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
36.4%1z
36.4%1x
36.4%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch28.0ms (0.7%)

Memory
0.6MiB live, 38.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
1.0170891793790402e-13
0.1599896348086063
12.0ms
-925130.1129979505
-76.48996641071872
Samples
15.0ms288×0valid
Compiler

Compiled 357 to 230 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (44.6% of total)
ival-add: 3.0ms (33.4% of total)
ival-div: 2.0ms (22.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.123820834175422e+110
1.77851547153107e+128
0.0ms
-6.808363983140668e+47
-1.0881963276550137e+47
Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch28.0ms (0.7%)

Memory
-1.7MiB live, 35.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
3462911133283.988
3.0574417918771013e+25
13.0ms
-102513579982241460.0
-4231043189097730.0
Samples
12.0ms272×0valid
Compiler

Compiled 304 to 201 computations (33.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (32% of total)
ival-add: 2.0ms (32% of total)
ival-mult: 2.0ms (32% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.5%)

Memory
-16.9MiB live, 18.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.0170891793790402e-13
0.1599896348086063
20.0ms
-76.48996641071872
-0.0001098116838800515
Samples
15.0ms144×0valid
Compiler

Compiled 338 to 223 computations (34% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 9.0ms (78.4% of total)
ival-div: 1.0ms (8.7% of total)
ival-add: 1.0ms (8.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify7.0ms (0.2%)

Memory
10.8MiB live, 10.8MiB allocated
Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048230
156230
261230
363230
464230
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(if (<=.f64 y #s(literal -78 binary64)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 5620492334958379/36028797018963968 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)))
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal -500000000000000021922921522538098677317023825920 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal 499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))))
(if (<=.f64 y #s(literal -6200000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 2200000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
(if (<=.f64 y #s(literal -1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 5620492334958379/36028797018963968 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
Outputs
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
(if (<=.f64 y #s(literal -78 binary64)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 5620492334958379/36028797018963968 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)))
(if (<=.f64 y #s(literal -78 binary64)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) (if (<=.f64 y #s(literal 5620492334958379/36028797018963968 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal -500000000000000021922921522538098677317023825920 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal 499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))))
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x y)) #s(literal -500000000000000021922921522538098677317023825920 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x y)) #s(literal 499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))))
(if (<=.f64 y #s(literal -6200000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 2200000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
(if (<=.f64 y #s(literal -6200000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y)) (if (<=.f64 y #s(literal 2200000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))))
(if (<=.f64 y #s(literal -1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 5620492334958379/36028797018963968 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
(if (<=.f64 y #s(literal -1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y)) (if (<=.f64 y #s(literal 5620492334958379/36028797018963968 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))

soundness870.0ms (21.6%)

Memory
-6.1MiB live, 399.4MiB allocated
Rules
3 537×lower-fma.f64
3 537×lower-fma.f32
3 276×lower-fma.f64
3 276×lower-fma.f32
3 217×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831552
12701552
27221552
320211552
441631552
562261552
675381552
080371394
057440
1174440
2488440
31310440
43612440
56659440
08189412
0822
01222
15218
245218
3607718
0804017
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 205 to 97 computations (52.7% saved)

preprocess91.0ms (2.3%)

Memory
14.7MiB live, 134.2MiB allocated
Compiler

Compiled 258 to 90 computations (65.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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