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

Time bar (total: 5.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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 (19.8%)

Memory
-7.2MiB live, 1 117.0MiB allocated
Samples
739.0ms8 255×0valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 283.0ms
ival-mult: 115.0ms (40.6% of total)
ival-add: 80.0ms (28.2% of total)
ival-div: 75.0ms (26.5% of total)
ival-true: 6.0ms (2.1% of total)
exact: 4.0ms (1.4% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain772.0ms (14.4%)

Memory
25.9MiB live, 65.3MiB 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
27.0ms512×0valid
Compiler

Compiled 91 to 42 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-add: 4.0ms (32.3% of total)
ival-mult: 4.0ms (32.3% of total)
ival-div: 3.0ms (24.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess181.0ms (3.4%)

Memory
-22.8MiB live, 24.4MiB allocated
Algorithm
egg-herbie
Rules
386×distribute-rgt-in
336×sub-neg
268×unsub-neg
230×associate-+l-
226×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)
(+.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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 9 to 8 computations (11.1% saved)

simplify4.0ms (0.1%)

Memory
0.8MiB live, 0.8MiB 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
24×lower-+.f32
20×lower-+.f64
12×lower-fma.f64
12×lower-fma.f32
10×+-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)
(+.f64 z (fma.f64 y x (/.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

localize19.0ms (0.4%)

Memory
11.3MiB live, 11.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x #s(literal 2 binary64))
accuracy0
(*.f64 y x)
accuracy0.00390625
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
accuracy0.0078125
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Samples
13.0ms256×0valid
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 (33.6% of total)
ival-add: 2.0ms (33.6% of total)
ival-mult: 2.0ms (33.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series48.0ms (0.9%)

Memory
-31.6MiB live, 6.5MiB 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 (+ (* 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 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 (+ 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 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 (/.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 (/.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 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 (/.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 (* 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 (* 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 (+ 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 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 (* 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 (* 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 (+ 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 (* 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 (* 1/2 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 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 (* -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 (* 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 (* 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 -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

9 calls:

TimeVariablePointExpression
41.0ms
x
@inf
((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))
2.0ms
x
@-inf
((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))
1.0ms
y
@-inf
((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))
1.0ms
x
@0
((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))
0.0ms
y
@inf
((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))

simplify190.0ms (3.5%)

Memory
7.7MiB live, 82.6MiB allocated
Algorithm
egg-herbie
Rules
6 434×lower-fma.f64
6 434×lower-fma.f32
2 474×lower-*.f64
2 474×lower-*.f32
1 356×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057440
1174440
2488440
31308440
43609440
56674440
08210412
Stop Event
iter limit
node limit
Counts
96 → 93
Calls
Call 1
Inputs
(+ (* 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))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ 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)
(* x y)
(* x y)
(* 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 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)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* x y)
(* x y)
(* x y)
(* 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 (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* x y)
(* x y)
(* x y)
(* x 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 (* 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)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(+ (* 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 x #s(literal 1/2 binary64))
(+ (* 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)
(+ 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)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y 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)
(* 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)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y 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 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)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y 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)
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)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y 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 (/ 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)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y 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 (* 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)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite312.0ms (5.8%)

Memory
13.1MiB live, 218.9MiB allocated
Rules
7 074×lower-fma.f64
7 074×lower-fma.f32
4 356×lower-*.f32
4 354×lower-*.f64
2 578×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 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y x) x) (+.f64 #s(literal 1/2 binary64) y))))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4 binary64)) (pow.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64)))) (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 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 3 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)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4 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))) (pow.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))
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eval127.0ms (2.4%)

Memory
-0.2MiB live, 76.8MiB allocated
Compiler

Compiled 6 518 to 757 computations (88.4% saved)

prune45.0ms (0.8%)

Memory
-21.6MiB live, 101.1MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3296335
Fresh000
Picked101
Done000
Total3306336
Accuracy
100.0%
Counts
336 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
100.0%
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
71.6%
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
66.1%
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z))
63.0%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
35.6%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
Compiler

Compiled 68 to 72 computations (-5.9% saved)

simplify6.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB 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 x #s(literal 1/2 binary64) z)
cost-diff0
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) x z)
cost-diff192
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
Rules
52×lower-+.f32
50×lower-+.f64
36×lower-fma.f32
30×lower-fma.f64
24×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021110
030110
145110
260110
362110
062104
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
y
x
(fma.f64 #s(literal 1/2 binary64) x z)
#s(literal 1/2 binary64)
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 x #s(literal 1/2 binary64) z))
(fma.f64 x #s(literal 1/2 binary64) z)
x
#s(literal 1/2 binary64)
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 y x (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
y
x
(fma.f64 #s(literal 1/2 binary64) x z)
#s(literal 1/2 binary64)
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 x #s(literal 1/2 binary64) z))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 x #s(literal 1/2 binary64) z)
(fma.f64 #s(literal 1/2 binary64) x z)
x
#s(literal 1/2 binary64)
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)
(+.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

localize71.0ms (1.3%)

Memory
7.8MiB live, 83.3MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y x)
accuracy0.00390625
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
accuracy32.0095040765115
#s(approx (+ (/ x 2) (* y x)) (*.f64 y x))
accuracy0
(-.f64 y #s(literal -1/2 binary64))
accuracy0.00390625
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
accuracy23.650067536283682
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
accuracy0
(fma.f64 x #s(literal 1/2 binary64) z)
accuracy21.6840419628263
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z))
accuracy0
(*.f64 y x)
accuracy41.1983195373441
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
accuracy0
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
accuracy0
(fma.f64 #s(literal 1/2 binary64) x z)
Samples
58.0ms256×0valid
Compiler

Compiled 93 to 19 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 37.0ms (80.9% of total)
ival-add: 5.0ms (10.9% of total)
ival-div: 1.0ms (2.2% of total)
ival-sub: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.4%)

Memory
-5.3MiB live, 33.9MiB allocated
Counts
11 → 312
Calls
Call 1
Inputs
#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (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 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 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/2 binary64) z) (patch (fma.f64 x #s(literal 1/2 binary64) 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 (+ (* 1/2 x) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 z) (#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 (+ z (* 1/2 x)) (taylor 0 z) (#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 (+ z (* 1/2 x)) (taylor 0 z) (#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 (+ z (* 1/2 x)) (taylor 0 z) (#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 (+ (* 1/2 x) (* x y)) (taylor 0 z) (#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 (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#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 (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#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 (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#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 (+ (* 1/2 x) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) z) (patch (fma.f64 x #s(literal 1/2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* 1/2 x)) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) z) (patch (fma.f64 x #s(literal 1/2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* 1/2 x)) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) z) (patch (fma.f64 x #s(literal 1/2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* 1/2 x)) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) z) (patch (fma.f64 x #s(literal 1/2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 z) (#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 (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#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 (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#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 (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#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 (+ (* 1/2 x) (* x y)) (taylor 0 z) (#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 (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#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 (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#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 (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#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 z (taylor inf z) (#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#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 (* z (+ 1 (* 1/2 (/ x z)))) (taylor inf z) (#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 (* z (+ 1 (* 1/2 (/ x z)))) (taylor inf z) (#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 (* z (+ 1 (* 1/2 (/ x z)))) (taylor inf z) (#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 z (taylor inf z) (#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 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#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 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#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 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#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 z (taylor inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<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) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<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) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<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) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) z) (patch (fma.f64 x #s(literal 1/2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* 1/2 (/ x z)))) (taylor inf z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) z) (patch (fma.f64 x #s(literal 1/2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* 1/2 (/ x z)))) (taylor inf z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) z) (patch (fma.f64 x #s(literal 1/2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* 1/2 (/ x z)))) (taylor inf z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) z) (patch (fma.f64 x #s(literal 1/2 binary64) z) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#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 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#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 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#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 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#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>) () ())) ())
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#s(alt (* x (+ 1/2 y)) (taylor 0 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 (* x (+ 1/2 y)) (taylor 0 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 (* x (+ 1/2 y)) (taylor inf x) (#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#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 (* x (+ 1/2 (/ z x))) (taylor inf x) (#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 (* x (+ 1/2 (/ z x))) (taylor inf x) (#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 (* x (+ 1/2 (/ z x))) (taylor inf x) (#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 (* x (+ 1/2 y)) (taylor inf x) (#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 (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#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 (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#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 (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#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 (* 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 (+ 1/2 y)) (taylor inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) z) (patch (fma.f64 x #s(literal 1/2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ z x))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) z) (patch (fma.f64 x #s(literal 1/2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ z x))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) z) (patch (fma.f64 x #s(literal 1/2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ z x))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) z) (patch (fma.f64 x #s(literal 1/2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#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 (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#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 (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#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 (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#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 (* x (+ 1/2 y)) (taylor inf x) (#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 (* x (+ 1/2 y)) (taylor inf x) (#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 (* x (+ 1/2 y)) (taylor inf x) (#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 (* x (+ 1/2 y)) (taylor inf x) (#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 (* x (+ 1/2 y)) (taylor inf x) (#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 (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#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 (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#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 (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#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 (* x (+ 1/2 y)) (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 (* x (+ 1/2 y)) (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 (* x (+ 1/2 y)) (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 (* x (+ 1/2 y)) (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 (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ z x)) 1/2))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ z x)) 1/2))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ z x)) 1/2))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#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 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#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 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#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 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#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 (* 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 (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<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) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<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) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<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) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) z) (patch (fma.f64 x #s(literal 1/2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) z) (patch (fma.f64 x #s(literal 1/2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) z) (patch (fma.f64 x #s(literal 1/2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) z) (patch (fma.f64 x #s(literal 1/2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#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 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#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 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#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 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#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 (* x (+ 1/2 y)) (taylor -inf x) (#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 (* x (+ 1/2 y)) (taylor -inf x) (#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 (* x (+ 1/2 y)) (taylor -inf x) (#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 (* x (+ 1/2 y)) (taylor -inf x) (#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 (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#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 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#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 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#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 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#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 (* -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 (* 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>) () ())) ())
Calls

9 calls:

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

simplify115.0ms (2.2%)

Memory
38.0MiB live, 152.2MiB allocated
Algorithm
egg-herbie
Rules
6 334×lower-fma.f64
6 334×lower-fma.f32
2 392×lower-*.f64
2 392×lower-*.f32
1 382×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721624
12231624
25981624
317581624
437791624
557921624
672441624
080301448
Stop Event
iter limit
node limit
Counts
312 → 289
Calls
Call 1
Inputs
(+ (* 1/2 x) (* x y))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* 1/2 x)
(+ z (* 1/2 x))
(+ z (* 1/2 x))
(+ z (* 1/2 x))
(+ (* 1/2 x) (* x y))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* 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)))
(* 1/2 x)
(+ z (* 1/2 x))
(+ z (* 1/2 x))
(+ z (* 1/2 x))
(+ (* 1/2 x) (* x y))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* 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
(* z (+ 1 (* 1/2 (/ x z))))
(* z (+ 1 (* 1/2 (/ x z))))
(* z (+ 1 (* 1/2 (/ x z))))
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
(* 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
(* z (+ 1 (* 1/2 (/ x z))))
(* z (+ 1 (* 1/2 (/ x z))))
(* z (+ 1 (* 1/2 (/ x z))))
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
(* 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
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
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
(* -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
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
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
(* -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 (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* x y)
(* x y)
(* x y)
(* x y)
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* 1/2 x)
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
1/2
(+ 1/2 y)
(+ 1/2 y)
(+ 1/2 y)
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* 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)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z 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)
(* x y)
(* x y)
(* 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)
(* 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)
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 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)
(* 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 (/ (+ 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)))))
(* 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)))))
(* x y)
(* x y)
(* x y)
(* x 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)))))
(* 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)))))
(* 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)))))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 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)))))
(* 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)))
z
(+ z (* 1/2 x))
(+ z (* 1/2 x))
(+ z (* 1/2 x))
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 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)))
z
(+ z (* 1/2 x))
(+ z (* 1/2 x))
(+ z (* 1/2 x))
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 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))
(* x (+ 1/2 y))
(* 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))))
(* 1/2 x)
(* x (+ 1/2 (/ z x)))
(* x (+ 1/2 (/ z x)))
(* x (+ 1/2 (/ z x)))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* 1/2 x)
(* x (+ 1/2 (/ z x)))
(* x (+ 1/2 (/ z x)))
(* x (+ 1/2 (/ z x)))
(* 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))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* 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))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* -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)))
(* 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 (* 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)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -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)))
(* 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 (* 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)))
(* 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 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (* -1 y) 1/2)))
Outputs
(+ (* 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)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ z (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) z)
(+ z (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) z)
(+ z (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) 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)
(+ (* 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)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ z (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) z)
(+ z (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) z)
(+ z (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) 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)
(+ (* 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
(* z (+ 1 (* 1/2 (/ x z))))
(fma.f64 x #s(literal 1/2 binary64) z)
(* z (+ 1 (* 1/2 (/ x z))))
(fma.f64 x #s(literal 1/2 binary64) z)
(* z (+ 1 (* 1/2 (/ x z))))
(fma.f64 x #s(literal 1/2 binary64) 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
(* 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
(* z (+ 1 (* 1/2 (/ x z))))
(fma.f64 x #s(literal 1/2 binary64) z)
(* z (+ 1 (* 1/2 (/ x z))))
(fma.f64 x #s(literal 1/2 binary64) z)
(* z (+ 1 (* 1/2 (/ x z))))
(fma.f64 x #s(literal 1/2 binary64) 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
(* 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)
z
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(fma.f64 x #s(literal 1/2 binary64) z)
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(fma.f64 x #s(literal 1/2 binary64) z)
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(fma.f64 x #s(literal 1/2 binary64) 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)
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)
z
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(fma.f64 x #s(literal 1/2 binary64) z)
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(fma.f64 x #s(literal 1/2 binary64) z)
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(fma.f64 x #s(literal 1/2 binary64) 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)
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)
(+ 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)
(+ 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)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(+ 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)
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1/2
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(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)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
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(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(+ (* 1/2 x) (* x y))
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(-.f64 y #s(literal -1/2 binary64))
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(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)))))
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z
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(+ 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 (* 1/2 x))
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(+ z (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) z)
(+ z (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) z)
z
(+ z (* x (+ 1/2 y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
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(fma.f64 x #s(literal 1/2 binary64) z)
(+ z (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) z)
z
(+ z (* x (+ 1/2 y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
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(+ z (* x (+ 1/2 y)))
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(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 y))
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(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
z
(+ z (* x (+ 1/2 y)))
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(+ z (* x (+ 1/2 y)))
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(* x (+ 1/2 y))
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(* x (+ 1/2 y))
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(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 y))
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(* 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))))
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(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ z x)))
(fma.f64 x #s(literal 1/2 binary64) z)
(* x (+ 1/2 (/ z x)))
(fma.f64 x #s(literal 1/2 binary64) z)
(* x (+ 1/2 (/ z x)))
(fma.f64 x #s(literal 1/2 binary64) 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)
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(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
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(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)
(* 1/2 x)
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(* x (+ 1/2 (/ z x)))
(fma.f64 x #s(literal 1/2 binary64) z)
(* x (+ 1/2 (/ z x)))
(fma.f64 x #s(literal 1/2 binary64) z)
(* x (+ 1/2 (/ z x)))
(fma.f64 x #s(literal 1/2 binary64) 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)
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(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
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(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
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(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
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(*.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 (/ z x))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
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(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)
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(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
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(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
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(*.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 (/ 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)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
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(fma.f64 x #s(literal 1/2 binary64) z)
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) z)
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(fma.f64 x #s(literal 1/2 binary64) 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)
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(*.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)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) z)
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) z)
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) 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)
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(*.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)
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(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
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(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)
(* -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)

rewrite473.0ms (8.8%)

Memory
-10.6MiB live, 272.3MiB allocated
Rules
7 048×lower-fma.f32
7 042×lower-fma.f64
4 190×lower-/.f64
4 190×lower-/.f32
4 144×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02192
03086
113982
296082
0832478
Stop Event
iter limit
node limit
iter limit
Counts
11 → 375
Calls
Call 1
Inputs
(fma.f64 y x (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 y x))
(*.f64 y x)
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z))
(fma.f64 x #s(literal 1/2 binary64) 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
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(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))
(-.f64 y #s(literal -1/2 binary64))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))))
(+.f64 #s(literal 1/2 binary64) y)
(+.f64 y #s(literal 1/2 binary64))
(*.f64 (-.f64 (*.f64 z z) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))))
(*.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z z)) (pow.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))
(*.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))))
(*.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(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 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (/.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (-.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 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (-.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 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (-.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 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (/.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (-.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 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (-.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 z z) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z z)))) (neg.f64 (neg.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (-.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 z z) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64))) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)))))
(/.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 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z 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 z z) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)))))
(/.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 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))) (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z z))) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z z)) (neg.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))))
(neg.f64 (/.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))
(fma.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) #s(literal -1 binary64)) (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 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (-.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 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 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 #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))

eval311.0ms (5.8%)

Memory
-6.8MiB live, 190.0MiB allocated
Compiler

Compiled 10 472 to 1 093 computations (89.6% saved)

prune124.0ms (2.3%)

Memory
4.6MiB live, 167.8MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New6883691
Fresh101
Picked145
Done000
Total6907697
Accuracy
100.0%
Counts
697 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
63.0%
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))))
71.6%
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
66.1%
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z))
63.0%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
29.7%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
35.6%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
Compiler

Compiled 39 to 44 computations (-12.8% saved)

simplify29.0ms (0.5%)

Memory
-2.6MiB live, 44.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02171
02771
14071
24971
35471
45671
05668
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
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))))
y
x
#s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(-.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
x
z
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
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
y
x
#s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(-.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
x
z

localize38.0ms (0.7%)

Memory
-11.8MiB live, 103.7MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 y #s(literal -1/2 binary64))
accuracy0.00390625
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
accuracy0
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))))
accuracy0
(*.f64 x #s(literal 1/2 binary64))
accuracy30.798009955889512
#s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))
accuracy0.00390625
(*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)
accuracy23.650067536283682
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
accuracy30.87986199187565
#s(approx (- y -1/2) #s(literal 1/2 binary64))
Samples
29.0ms256×0valid
Compiler

Compiled 55 to 19 computations (65.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 7.0ms (40.4% of total)
ival-add: 6.0ms (34.6% of total)
ival-div: 2.0ms (11.5% of total)
ival-sub: 2.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
-17.4MiB live, 24.4MiB allocated
Counts
8 → 192
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>) () ())
#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())
#s(alt (-.f64 y #s(literal -1/2 binary64)) (patch (-.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())
Outputs
#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>) () ())) ())
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#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<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 (* 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 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* x 1/2) (+ (* (- y -1/2) x) z) (- y -1/2))
1.0ms
x
@inf
((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* x 1/2) (+ (* (- y -1/2) x) z) (- y -1/2))
0.0ms
y
@-inf
((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* x 1/2) (+ (* (- y -1/2) x) z) (- y -1/2))
0.0ms
z
@inf
((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* x 1/2) (+ (* (- y -1/2) x) z) (- y -1/2))
0.0ms
x
@0
((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* x 1/2) (+ (* (- y -1/2) x) z) (- y -1/2))

simplify127.0ms (2.4%)

Memory
12.0MiB live, 210.9MiB allocated
Algorithm
egg-herbie
Rules
6 552×lower-fma.f64
6 552×lower-fma.f32
2 372×lower-*.f64
2 372×lower-*.f32
1 408×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083966
1270966
2723966
32011966
44157966
56218966
67531966
08023864
Stop Event
iter limit
node limit
Counts
192 → 176
Calls
Call 1
Inputs
(+ (* 1/2 x) (* x y))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* 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)))
(* 1/2 x)
(+ z (* 1/2 x))
(+ z (* 1/2 x))
(+ z (* 1/2 x))
(* x (+ 1/2 y))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 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
(* 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
(* z (+ 1 (* 1/2 (/ x z))))
(* z (+ 1 (* 1/2 (/ x z))))
(* z (+ 1 (* 1/2 (/ x z))))
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 (/ (+ (* 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
(* -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
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
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)))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* 1/2 x)
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
1/2
(+ 1/2 y)
(+ 1/2 y)
(+ 1/2 y)
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
1/2
(+ 1/2 y)
(+ 1/2 y)
(+ 1/2 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)
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 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)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 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)))))
(* 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)))))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 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)))))
(* 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)))))
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))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
z
(+ z (* 1/2 x))
(+ z (* 1/2 x))
(+ z (* 1/2 x))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
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))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* 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))))
(* 1/2 x)
(* x (+ 1/2 (/ z x)))
(* x (+ 1/2 (/ z x)))
(* x (+ 1/2 (/ z x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 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)))
(* 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 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* 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)
(* 1/2 x)
(* 1/2 x)
(* 1/2 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)))))
Outputs
(+ (* 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)
(+ (* 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)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ z (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) z)
(+ z (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) z)
(+ z (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) 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 (+ (* 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
(* 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
(* z (+ 1 (* 1/2 (/ x z))))
(fma.f64 x #s(literal 1/2 binary64) z)
(* z (+ 1 (* 1/2 (/ x z))))
(fma.f64 x #s(literal 1/2 binary64) z)
(* z (+ 1 (* 1/2 (/ x z))))
(fma.f64 x #s(literal 1/2 binary64) 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 (/ (+ (* 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)
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)
z
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(fma.f64 x #s(literal 1/2 binary64) z)
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(fma.f64 x #s(literal 1/2 binary64) z)
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(fma.f64 x #s(literal 1/2 binary64) 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)
(+ 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)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* 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)
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))
(+ 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)
(+ 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)
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))
(* 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)
(* 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)
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))
(* 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)
(* 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)
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))
(* 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)
(* 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)
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))
(* 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)
(* 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)
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))
(*.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)
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)
z
(+ z (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) z)
(+ z (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) z)
(+ z (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) z)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #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)
(* 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 (/ 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)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ z x)))
(fma.f64 x #s(literal 1/2 binary64) z)
(* x (+ 1/2 (/ z x)))
(fma.f64 x #s(literal 1/2 binary64) z)
(* x (+ 1/2 (/ z x)))
(fma.f64 x #s(literal 1/2 binary64) z)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 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)
(* 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 (/ 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)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) z)
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) z)
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) z)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 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)

rewrite209.0ms (3.9%)

Memory
-9.4MiB live, 319.3MiB allocated
Rules
12 994×lower-fma.f32
12 990×lower-fma.f64
5 638×lower-*.f32
5 634×lower-*.f64
3 354×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02162
02762
112459
295159
0858457
Stop Event
iter limit
node limit
iter limit
Counts
8 → 225
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))
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(-.f64 y #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))
(*.f64 (-.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (fma.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (fma.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))))))
(*.f64 (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))))
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(fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))) (*.f64 y x))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z)))))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) (pow.f64 (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64))) z)
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) y)))) z)
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)) z)
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (fma.f64 y x z))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z) #s(literal -1 binary64))) (*.f64 y x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 y x z))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 y x z))
(fma.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (pow.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))) 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 y #s(literal -1/2 binary64)) 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 #s(literal 1/4 binary64) x) x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(-.f64 (fma.f64 y x (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z))) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))) (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z)) (/.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z)))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (-.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (*.f64 y x)))
(-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) (-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) z))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z))))
(-.f64 (fma.f64 y x z) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z)))))
(+.f64 (fma.f64 y x z) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 y x))
(+.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
(+.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) 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 (neg.f64 (fma.f64 y y #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))))
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1/2 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))) (*.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (*.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 y #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (*.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))) #s(literal -1/8 binary64))) (*.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1/4 binary64))) (-.f64 #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64)))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 y y #s(literal -1/4 binary64))) (-.f64 y #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))
(neg.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 #s(literal 1/2 binary64) y)))
(neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))
(-.f64 y #s(literal -1/2 binary64))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))))
(+.f64 #s(literal 1/2 binary64) y)
(+.f64 y #s(literal 1/2 binary64))

eval50.0ms (0.9%)

Memory
28.5MiB live, 102.9MiB allocated
Compiler

Compiled 6 331 to 710 computations (88.8% saved)

prune41.0ms (0.8%)

Memory
-9.0MiB live, 113.8MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New4010401
Fresh000
Picked033
Done044
Total4017408
Accuracy
100.0%
Counts
408 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
63.0%
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))))
71.6%
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
66.1%
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z))
63.0%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
29.7%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
35.6%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
Compiler

Compiled 100 to 73 computations (27% saved)

regimes20.0ms (0.4%)

Memory
10.9MiB live, 50.0MiB allocated
Counts
10 → 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 x #s(literal 1/2 binary64) 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)
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
Outputs
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
Calls

5 calls:

5.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
4.0ms
z
4.0ms
y
4.0ms
x
4.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
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 19 to 24 computations (-26.3% saved)

regimes21.0ms (0.4%)

Memory
-37.9MiB live, 44.9MiB allocated
Counts
8 → 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 x #s(literal 1/2 binary64) 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)
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))))
Outputs
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
Calls

5 calls:

6.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
5.0ms
x
3.0ms
z
3.0ms
y
3.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
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 19 to 24 computations (-26.3% saved)

regimes13.0ms (0.2%)

Memory
32.6MiB live, 32.5MiB 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 x #s(literal 1/2 binary64) 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 x #s(literal 1/2 binary64) z))
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
Calls

5 calls:

3.0ms
y
2.0ms
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)
Results
AccuracySegmentsBranch
88.9%4x
99.1%3y
87.2%3z
83.8%5(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
89.6%4(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes7.0ms (0.1%)

Memory
-24.8MiB live, 14.3MiB 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 x #s(literal 1/2 binary64) 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 y x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
Calls

2 calls:

4.0ms
y
2.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Results
AccuracySegmentsBranch
87.2%3(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
87.5%3y
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes9.0ms (0.2%)

Memory
27.2MiB live, 27.2MiB 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
x
2.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
47.4%5(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
47.3%5(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
37.3%2z
39.8%2x
62.1%3y
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes8.0ms (0.1%)

Memory
-14.7MiB live, 24.8MiB 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

5 calls:

2.0ms
y
1.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
1.0ms
z
1.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
1.0ms
x
Results
AccuracySegmentsBranch
35.6%1z
35.6%1x
35.6%1(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
35.6%1(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
35.6%1y
Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch23.0ms (0.4%)

Memory
16.4MiB live, 58.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
0.1254477055715591
0.5112121209599322
12.0ms
-3774967976956551.5
-885321986146.6566
Samples
12.0ms224×0valid
Compiler

Compiled 166 to 210 computations (-26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 2.0ms (38% of total)
ival-div: 1.0ms (19% of total)
ival-mult: 1.0ms (19% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.5%)

Memory
-17.1MiB live, 61.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
2.312141683742158e+77
2.3348873929905506e+82
12.0ms
-2.4873126016586657e+48
-3.119081117558314e+45
Samples
14.0ms272×0valid
Compiler

Compiled 165 to 235 computations (-42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (38.6% of total)
ival-add: 3.0ms (38.6% of total)
ival-mult: 2.0ms (25.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.1254477055715591
0.5112121209599322
1.0ms
-3774967976956551.5
-885321986146.6566
Compiler

Compiled 138 to 210 computations (-52.2% saved)

simplify28.0ms (0.5%)

Memory
-28.0MiB live, 60.3MiB allocated
Algorithm
egg-herbie
Rules
*-commutative-binary64-*.f64
+-commutative-binary64-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037173
141173
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(if (<=.f64 y #s(literal -900000000000 binary64)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)))
(if (<=.f64 y #s(literal -500000000000000021922921522538098677317023825920 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 76000000000000004759276622263432531574737070662882069264859595889362223220391936 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
(if (<=.f64 y #s(literal -900000000000 binary64)) #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 #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 y x (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(if (<=.f64 y #s(literal -900000000000 binary64)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)))
(if (<=.f64 y #s(literal -900000000000 binary64)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))
(if (<=.f64 y #s(literal -500000000000000021922921522538098677317023825920 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 76000000000000004759276622263432531574737070662882069264859595889362223220391936 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
(if (<=.f64 y #s(literal -500000000000000021922921522538098677317023825920 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y)) (if (<=.f64 y #s(literal 76000000000000004759276622263432531574737070662882069264859595889362223220391936 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))))
(if (<=.f64 y #s(literal -900000000000 binary64)) #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 #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 -900000000000 binary64)) #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 #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))

soundness766.0ms (14.3%)

Memory
16.5MiB live, 444.9MiB allocated
Rules
7 074×lower-fma.f64
7 074×lower-fma.f32
6 434×lower-fma.f64
6 434×lower-fma.f32
6 334×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057440
1174440
2488440
31308440
43609440
56674440
08210412
0721624
12231624
25981624
317581624
437791624
557921624
672441624
080301448
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 146 to 91 computations (37.7% saved)

preprocess52.0ms (1%)

Memory
23.0MiB live, 101.2MiB allocated
Compiler

Compiled 186 to 76 computations (59.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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