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

Time bar (total: 4.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×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)

sample940.0ms (19.7%)

Memory
17.8MiB live, 883.2MiB allocated
Samples
701.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 420.0ms
ival-add: 196.0ms (46.6% of total)
ival-div: 143.0ms (34% of total)
ival-mult: 67.0ms (15.9% of total)
ival-true: 6.0ms (1.4% of total)
exact: 5.0ms (1.2% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain193.0ms (4%)

Memory
-23.3MiB live, 99.7MiB 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
66.0ms512×0valid
Compiler

Compiled 68 to 28 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 5.0ms (39.2% of total)
ival-mult: 4.0ms (31.4% of total)
ival-div: 3.0ms (23.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess83.0ms (1.8%)

Memory
11.5MiB live, 46.2MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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 (/.f64 x #s(literal 2 binary64)) (fma.f64 x y z))
Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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 (/.f64 x #s(literal 2 binary64)) (fma.f64 x y z))
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 x y (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 y x)
(*.f64 x y)
y
z

localize33.0ms (0.7%)

Memory
-27.8MiB live, 58.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x #s(literal 2 binary64))
accuracy0
(*.f64 y x)
accuracy0.006191259768442017
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
accuracy0.01171875
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
Samples
15.0ms256×0valid
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 (31.7% of total)
ival-add: 2.0ms (31.7% of total)
ival-mult: 2.0ms (31.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
15.9MiB live, 15.9MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())
#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt (* x (+ 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* 1/2 x)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
Calls

24 calls:

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

simplify142.0ms (3%)

Memory
-14.2MiB live, 257.8MiB allocated
Algorithm
1×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
31310440
43612440
56659440
08189412
Stop Event
1×iter limit
1×node limit
Counts
96 → 93
Calls
Call 1
Inputs
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (* -1 y) 1/2)))
(* 1/2 x)
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(* x y)
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(+ (* 1/2 x) (* x y))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x y)
(*.f64 x y)
(* y (+ x (* 1/2 (/ x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* y (+ x (* 1/2 (/ x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* y (+ x (* 1/2 (/ x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
z
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x y)
(*.f64 x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) 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))
(* 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))
(* 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 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

rewrite382.0ms (8%)

Memory
5.2MiB live, 374.6MiB 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
1×iter limit
1×node limit
1×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 x #s(literal 1/2 binary64)) (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) x)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x y) (*.f64 x #s(literal -1/2 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) x)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) x)) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(fma.f64 x y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x y))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 y x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 x y))
(fma.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x y))
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(*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z) (*.f64 z z))) (fma.f64 (*.f64 z (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) (*.f64 (*.f64 z z) (*.f64 (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))) (*.f64 (*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (*.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))) (*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (*.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))))) (fma.f64 (*.f64 z (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) (-.f64 (*.f64 z (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) (*.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))) (*.f64 (*.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) (*.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))))
(*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z) (*.f64 z z))) (*.f64 (fma.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z) (*.f64 z z)) (fma.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z) (*.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) z))))) (fma.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z) (*.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) z))))
(*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)) (-.f64 (*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (*.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))) (*.f64 z (*.f64 z z)))) (fma.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (*.f64 z (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64)))
(neg.f64 (*.f64 x #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 x y)
(*.f64 y x)
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 1 binary64) y) x)

eval36.0ms (0.8%)

Memory
9.3MiB live, 84.7MiB allocated
Compiler

Compiled 7 883 to 736 computations (90.7% saved)

prune51.0ms (1.1%)

Memory
7.7MiB live, 125.3MiB 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 y #s(literal 1/2 binary64)) x z)
▶100.0%
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
▶76.5%
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)
▶55.3%
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z))
▶67.1%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
▶44.6%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
Compiler

Compiled 104 to 64 computations (38.5% saved)

simplify9.0ms (0.2%)

Memory
-24.1MiB live, 13.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (+ (/ x 2) (* y x)) (*.f64 x y))
cost-diff0
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)
cost-diff0
(+.f64 #s(literal 1/2 binary64) y)
cost-diff0
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
cost-diff0
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
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 x y)
cost-diff0
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
cost-diff0
(fma.f64 x #s(literal 1/2 binary64) z)
cost-diff192
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
Rules
52×lower-+.f32
48×lower-+.f64
36×lower-fma.f32
32×lower-fma.f64
18×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019110
026110
143110
255110
357110
057104
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
y
x
(fma.f64 x #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
z
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
(*.f64 x y)
x
y
#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 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
x
(+.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)
#s(approx (+ (/ x 2) (* y x)) (*.f64 x y))
(*.f64 x y)
x
y
z
Outputs
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
y
x
(fma.f64 x #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
z
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
#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 x (+.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
x
(+.f64 #s(literal 1/2 binary64) y)
(+.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
y
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)
(+.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)))
#s(approx (+ (/ x 2) (* y x)) (*.f64 x y))
#s(approx (+ (/ x 2) (* y x)) (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
z

localize69.0ms (1.4%)

Memory
-11.0MiB live, 128.9MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x y)
accuracy0.01171875
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)
accuracy24.46852576991905
#s(approx (+ (/ x 2) (* y x)) (*.f64 x y))
accuracy0
(+.f64 #s(literal 1/2 binary64) y)
accuracy0.0078125
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
accuracy21.0792820360928
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
accuracy0
(fma.f64 x #s(literal 1/2 binary64) z)
accuracy28.579721167323612
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z))
accuracy0
(*.f64 x y)
accuracy35.44567774319984
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
accuracy0
(fma.f64 x #s(literal 1/2 binary64) z)
accuracy0.00390625
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
Samples
35.0ms256×0valid
Compiler

Compiled 93 to 17 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 7.0ms (46.5% of total)
ival-add: 6.0ms (39.8% of total)
ival-div: 2.0ms (13.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.3%)

Memory
-5.8MiB live, 31.7MiB allocated
Counts
10 → 288
Calls
Call 1
Inputs
#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (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 x y)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<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 #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())
#s(alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (patch (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/2 binary64) y) (patch (+.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) (patch (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #<representation binary64>) () ())
Outputs
#s(alt (+ z (* 1/2 x)) (taylor 0 y) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 x) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (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 (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (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 (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (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 (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) (patch (fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #<representation binary64>) () ())) ())
Calls

72 calls:

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

simplify155.0ms (3.3%)

Memory
24.4MiB live, 262.7MiB allocated
Algorithm
1×egg-herbie
Rules
6 376×lower-fma.f64
6 376×lower-fma.f32
2 392×lower-*.f64
2 392×lower-*.f32
1 380×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721522
12231522
25981522
317441522
437511522
557541522
671891522
080091364
Stop Event
1×iter limit
1×node limit
Counts
288 → 268
Calls
Call 1
Inputs
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* -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) (* x y))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
z
(+ z (* 1/2 x))
(+ z (* 1/2 x))
(+ z (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ z x)))
(* x (+ 1/2 (/ z x)))
(* x (+ 1/2 (/ z x)))
(* 1/2 x)
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(* 1/2 x)
(+ z (* 1/2 x))
(+ z (* 1/2 x))
(+ z (* 1/2 x))
z
(* z (+ 1 (* 1/2 (/ x z))))
(* z (+ 1 (* 1/2 (/ x z))))
(* z (+ 1 (* 1/2 (/ x z))))
z
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(+ (* 1/2 x) (* x y))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* x y)
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(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(+ (* 1/2 x) (* x y))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
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(* 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)
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(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(+ (* 1/2 x) (* x y))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* 1/2 x)
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
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(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
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(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
1/2
(+ 1/2 y)
(+ 1/2 y)
(+ 1/2 y)
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(+ (* 1/2 x) (* x y))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (* -1 y) 1/2)))
(* 1/2 x)
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(* x y)
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* x y)
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(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
Outputs
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x y)
(*.f64 x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ z x)))
(fma.f64 #s(literal 1/2 binary64) x z)
(* x (+ 1/2 (/ z x)))
(fma.f64 #s(literal 1/2 binary64) x z)
(* x (+ 1/2 (/ z x)))
(fma.f64 #s(literal 1/2 binary64) x z)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x z)
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x z)
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x z)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
z
(* z (+ 1 (* 1/2 (/ x z))))
(fma.f64 #s(literal 1/2 binary64) x z)
(* z (+ 1 (* 1/2 (/ x z))))
(fma.f64 #s(literal 1/2 binary64) x z)
(* z (+ 1 (* 1/2 (/ x z))))
(fma.f64 #s(literal 1/2 binary64) x z)
z
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(fma.f64 #s(literal 1/2 binary64) x z)
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(fma.f64 #s(literal 1/2 binary64) x z)
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(fma.f64 #s(literal 1/2 binary64) x z)
z
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x y)
(*.f64 x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
z
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x y)
(*.f64 x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x y)
(*.f64 x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x y)
(*.f64 x y)
(* y (+ x (* 1/2 (/ x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* y (+ x (* 1/2 (/ x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* y (+ x (* 1/2 (/ x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
1/2
#s(literal 1/2 binary64)
(+ 1/2 y)
(+.f64 #s(literal 1/2 binary64) y)
(+ 1/2 y)
(+.f64 #s(literal 1/2 binary64) y)
(+ 1/2 y)
(+.f64 #s(literal 1/2 binary64) y)
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
z
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x y)
(*.f64 x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x y)
(*.f64 x y)
(* y (+ x (* 1/2 (/ x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* y (+ x (* 1/2 (/ x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* y (+ x (* 1/2 (/ x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))

rewrite380.0ms (8%)

Memory
-2.8MiB live, 352.6MiB allocated
Rules
7 376×lower-fma.f32
7 372×lower-fma.f64
4 290×lower-*.f32
4 286×lower-*.f64
4 208×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01988
02678
112478
295978
0844274
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 327
Calls
Call 1
Inputs
(fma.f64 y x (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 x y))
(*.f64 x y)
#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 (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 1/2 binary64) y)
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)
#s(approx (+ (/ x 2) (* y x)) (*.f64 x y))
Outputs
(+.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) z) (*.f64 y x))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 y x z))
(+.f64 (*.f64 y x) (fma.f64 x #s(literal 1/2 binary64) z))
(+.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)
(+.f64 (fma.f64 y x z) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (fma.f64 y x (*.f64 x #s(literal -1/2 binary64))) z)) (neg.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 x #s(literal 1/2 binary64) z)) (-.f64 (fma.f64 y x (*.f64 x #s(literal -1/2 binary64))) z))))
(+.f64 (/.f64 (*.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)))))
(-.f64 (fma.f64 y x z) (*.f64 x #s(literal -1/2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (fma.f64 y x (*.f64 x #s(literal -1/2 binary64))) z)) (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 x #s(literal 1/2 binary64) z)) (-.f64 (fma.f64 y x (*.f64 x #s(literal -1/2 binary64))) z)))
(-.f64 (/.f64 (*.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) (/.f64 (*.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 x #s(literal 1/2 binary64) z)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) z) (*.f64 y x))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) z) (*.f64 y x))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 y x z))) (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 y x z))))
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
(fma.f64 x y (fma.f64 x #s(literal 1/2 binary64) z))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y x z))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 y x z))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 y x z))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (fma.f64 y x z))
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
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(*.f64 (*.f64 (+.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 y x))) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)))))
#s(approx (+ (/ x 2) (* y x)) (*.f64 y x))

eval75.0ms (1.6%)

Memory
27.7MiB live, 141.2MiB allocated
Compiler

Compiled 11 371 to 874 computations (92.3% saved)

prune83.0ms (1.7%)

Memory
-14.8MiB live, 142.4MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New6851686
Fresh011
Picked055
Done000
Total6857692
Accuracy
100.0%
Counts
692 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
✓100.0%
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
✓76.5%
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)
✓55.3%
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z))
✓67.1%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
▶24.3%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))))
✓44.6%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
Compiler

Compiled 60 to 37 computations (38.3% saved)

simplify6.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 5 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
#s(approx (+ 1/2 y) #s(literal 1/2 binary64))
cost-diff0
(*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))))
Rules
48×lower-+.f32
46×lower-+.f64
36×lower-fma.f32
34×lower-fma.f64
16×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01544
01944
12844
24144
35544
45744
05743
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))))
(*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))
x
#s(approx (+ 1/2 y) #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 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))))
(*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))
x
#s(approx (+ 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
(+.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
x
z

localize35.0ms (0.7%)

Memory
7.9MiB live, 83.8MiB allocated
Localize:

Found 5 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)
accuracy0.0078125
(*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))
accuracy21.0792820360928
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))))
accuracy38.563445275263604
#s(approx (+ 1/2 y) #s(literal 1/2 binary64))
Samples
24.0ms256×0valid
Compiler

Compiled 35 to 16 computations (54.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 6.0ms (44.5% of total)
ival-mult: 5.0ms (37% of total)
ival-div: 2.0ms (14.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
-26.3MiB live, 12.7MiB allocated
Counts
5 → 120
Calls
Call 1
Inputs
#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (patch #s(approx (+ 1/2 y) #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 z (taylor 0 x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<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 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<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 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<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 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ z (* 1/2 x)) (taylor 0 y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<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 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<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 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<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 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor 0 x) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor 0 x) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor 0 x) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor 0 x) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 y) (#s(alt #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (patch #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 y) (taylor 0 y) (#s(alt #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (patch #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 y) (taylor 0 y) (#s(alt #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (patch #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 y) (taylor 0 y) (#s(alt #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (patch #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (patch #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor inf y) (#s(alt #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (patch #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor inf y) (#s(alt #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (patch #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor inf y) (#s(alt #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (patch #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (patch #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (patch #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (patch #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (patch #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ z (* 1/2 x)) (taylor 0 y) (#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 (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#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 (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#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 (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#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 y) (taylor inf y) (#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 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#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 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#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 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#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 y) (taylor -inf y) (#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 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#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 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#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 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#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 z (taylor 0 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 (+ z (* x (+ 1/2 y))) (taylor 0 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 (+ z (* x (+ 1/2 y))) (taylor 0 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 (+ z (* x (+ 1/2 y))) (taylor 0 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)) (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 (* 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>) () ())) ())
#s(alt (* x (+ 1/2 y)) (taylor 0 z) (#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 (+ z (* x (+ 1/2 y))) (taylor 0 z) (#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 (+ z (* x (+ 1/2 y))) (taylor 0 z) (#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 (+ z (* x (+ 1/2 y))) (taylor 0 z) (#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 z (taylor inf z) (#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 (* z (+ 1 (/ (* x (+ 1/2 y)) z))) (taylor inf z) (#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 (* z (+ 1 (/ (* x (+ 1/2 y)) z))) (taylor inf z) (#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 (* z (+ 1 (/ (* x (+ 1/2 y)) z))) (taylor inf z) (#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 z (taylor -inf z) (#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 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1))) (taylor -inf z) (#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 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1))) (taylor -inf z) (#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 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1))) (taylor -inf z) (#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 1/2 (taylor 0 y) (#s(alt (+.f64 y #s(literal 1/2 binary64)) (patch (+.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1/2 binary64)) (patch (+.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1/2 binary64)) (patch (+.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1/2 binary64)) (patch (+.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y #s(literal 1/2 binary64)) (patch (+.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1/2 binary64)) (patch (+.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1/2 binary64)) (patch (+.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1/2 binary64)) (patch (+.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 y #s(literal 1/2 binary64)) (patch (+.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1/2 binary64)) (patch (+.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1/2 binary64)) (patch (+.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1/2 binary64)) (patch (+.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
Calls

30 calls:

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

simplify574.0ms (12.1%)

Memory
-5.6MiB live, 153.4MiB allocated
Algorithm
1×egg-herbie
Rules
6 480×lower-fma.f64
6 480×lower-fma.f32
2 878×lower-*.f64
2 878×lower-*.f32
1 318×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072610
1236610
2645610
31903610
44078610
56522610
08069554
Stop Event
1×iter limit
1×node limit
Counts
120 → 110
Calls
Call 1
Inputs
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(+ (* 1/2 x) (* x y))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* 1/2 x)
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(* x y)
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
1/2
(+ 1/2 y)
(+ 1/2 y)
(+ 1/2 y)
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 y))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(* x (+ 1/2 y))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
z
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
z
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
1/2
(+ 1/2 y)
(+ 1/2 y)
(+ 1/2 y)
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
Outputs
z
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x y)
(*.f64 x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x y)
(*.f64 x y)
(* y (+ x (* 1/2 (/ x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* y (+ x (* 1/2 (/ x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* y (+ x (* 1/2 (/ x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
1/2
#s(literal 1/2 binary64)
(+ 1/2 y)
(+.f64 #s(literal 1/2 binary64) y)
(+ 1/2 y)
(+.f64 #s(literal 1/2 binary64) y)
(+ 1/2 y)
(+.f64 #s(literal 1/2 binary64) y)
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
(+ z (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x y)
(*.f64 x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
1/2
#s(literal 1/2 binary64)
(+ 1/2 y)
(+.f64 #s(literal 1/2 binary64) y)
(+ 1/2 y)
(+.f64 #s(literal 1/2 binary64) y)
(+ 1/2 y)
(+.f64 #s(literal 1/2 binary64) y)
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)

rewrite319.0ms (6.7%)

Memory
11.7MiB live, 327.9MiB allocated
Rules
8 620×lower-fma.f32
8 618×lower-fma.f64
5 518×lower-*.f32
5 516×lower-*.f64
4 154×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01538
01941
19435
281435
0833635
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 240
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))))
(*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 y) #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 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))))
(*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))
(*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x)
#s(approx (+ 1/2 y) #s(literal 1/2 binary64))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x y z))
(+.f64 (*.f64 x y) (+.f64 z (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 x y) (fma.f64 x #s(literal 1/2 binary64) z))
(+.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)
(+.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(+.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z))))
(+.f64 (+.f64 z (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) z) (*.f64 x y))
(-.f64 (fma.f64 x y z) (*.f64 x #s(literal -1/2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (-.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) z))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z)) (/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z)))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) (/.f64 (*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(-.f64 (+.f64 z (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(fma.f64 x y (+.f64 z (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 x y (fma.f64 x #s(literal 1/2 binary64) z))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 x y z))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (fma.f64 x y z))
(fma.f64 y x (+.f64 z (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
(fma.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) z)
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 x y z))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 x y z))
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (fma.f64 x y z))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y (*.f64 x (+.f64 y #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) z)
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))) z)
(fma.f64 (fma.f64 x (*.f64 y (*.f64 x (+.f64 y #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y (*.f64 x (+.f64 y #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) z)
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y)))) x) z)
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) x) z)
(fma.f64 (*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x y z))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (+.f64 z (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (fma.f64 x #s(literal 1/2 binary64) z))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)
(fma.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) z)
(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) x) z)
(fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) x) z)
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x y z))
(fma.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 y (*.f64 x (+.f64 y #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) z)
(fma.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y))) z)
(fma.f64 (fma.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 z (-.f64 z (*.f64 x y))))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (fma.f64 x y z))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y (*.f64 x (+.f64 y #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) z)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) z)
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 y y #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1/2 binary64)))) z)
(fma.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y)))) z)
(fma.f64 (*.f64 x (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) z)
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(+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y))))
(-.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 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y))))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y (*.f64 y y) #s(literal -1/8 binary64))) (+.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1/4 binary64) (*.f64 y (+.f64 y #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y))))
(neg.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y))))))
(neg.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
(neg.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (+.f64 (neg.f64 y) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (neg.f64 (-.f64 #s(literal 1/2 binary64) y))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(neg.f64 (/.f64 (fma.f64 y (neg.f64 y) #s(literal 1/4 binary64)) (+.f64 y #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y))))
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 (fma.f64 y y #s(literal -1/4 binary64)) (+.f64 y #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 y (neg.f64 y) #s(literal 1/4 binary64)) (+.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1/2 binary64) y)))
(/.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 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 y (neg.f64 y) #s(literal 1/4 binary64))) (neg.f64 (+.f64 (neg.f64 y) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (-.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 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y))))))
(/.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 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(literal 1 binary64)) (+.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y))))) (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64)) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal -1/8 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y))))) (fma.f64 y (*.f64 y y) #s(literal -1/8 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y))))) (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64)) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal -1/8 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 y (*.f64 y y) #s(literal -1/8 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) (+.f64 (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal 1/16 binary64)) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) (fma.f64 y y #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))) (+.f64 #s(literal 1/4 binary64) (*.f64 y y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y)))))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y))))))
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (fma.f64 y (neg.f64 y) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 y) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y)))) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) (fma.f64 y y #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (+.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (fma.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.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))))))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64))) (*.f64 y y)))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y y))) (+.f64 (fma.f64 y y #s(literal -1/4 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 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (+.f64 y #s(literal -1/2 binary64))) (*.f64 (*.f64 y (+.f64 y #s(literal -1/2 binary64))) (*.f64 y (+.f64 y #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 y (+.f64 y #s(literal -1/2 binary64))) (-.f64 (*.f64 y (+.f64 y #s(literal -1/2 binary64))) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 y (+.f64 y #s(literal -1/2 binary64))) (*.f64 y (+.f64 y #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 y (+.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1/8 binary64))) (+.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1/4 binary64) (*.f64 y (+.f64 y #s(literal 1/2 binary64)))))

eval43.0ms (0.9%)

Memory
5.3MiB live, 86.7MiB allocated
Compiler

Compiled 7 498 to 785 computations (89.5% saved)

prune48.0ms (1%)

Memory
-3.1MiB live, 117.6MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New3500350
Fresh000
Picked022
Done055
Total3507357
Accuracy
100.0%
Counts
357 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
✓100.0%
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
✓76.5%
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)
✓55.3%
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z))
✓67.1%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
✓24.3%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))))
✓44.6%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
Compiler

Compiled 111 to 55 computations (50.5% saved)

regimes45.0ms (1%)

Memory
-2.4MiB live, 36.5MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 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 (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
Outputs
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
Calls

5 calls:

32.0ms
y
3.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
3.0ms
x
3.0ms
z
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 34 to 24 computations (29.4% saved)

regimes38.0ms (0.8%)

Memory
-7.8MiB live, 31.3MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 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 (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)
Outputs
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) 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 x y)) z)
Calls

5 calls:

28.0ms
x
2.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
2.0ms
z
2.0ms
y
2.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
Results
AccuracySegmentsBranch
91.2%3x
98.2%3y
89.5%3z
79.7%3(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
86.8%3(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes9.0ms (0.2%)

Memory
22.6MiB live, 22.6MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 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 (+.f64 #s(literal 1/2 binary64) y)))
Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
#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 (+.f64 #s(literal 1/2 binary64) y)))
Calls

4 calls:

2.0ms
y
2.0ms
x
2.0ms
z
2.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Results
AccuracySegmentsBranch
84.8%3(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
81.6%3z
81.1%3x
83.8%3y
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes4.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z))
Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
#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))
Calls

2 calls:

2.0ms
y
2.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Results
AccuracySegmentsBranch
83.8%3y
77.1%3(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes25.0ms (0.5%)

Memory
-13.0MiB live, 26.2MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))))
Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
Calls

5 calls:

18.0ms
y
2.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
2.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
2.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
44.6%1(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
44.6%1(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
44.6%1x
44.6%1z
65.8%3y
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes27.0ms (0.6%)

Memory
-4.1MiB live, 44.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

23.0ms
z
1.0ms
y
1.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
1.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
Results
AccuracySegmentsBranch
44.6%1z
44.6%1(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
44.6%1(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
44.6%1y
Compiler

Compiled 30 to 21 computations (30% saved)

bsearch26.0ms (0.5%)

Memory
-19.5MiB live, 56.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
5.7748251207461906e-8
1.6947797470141517
10.0ms
-5.055831015863763e+23
-1.722514138487938e+23
Samples
10.0ms224×0valid
Compiler

Compiled 281 to 182 computations (35.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 2.0ms (37.2% of total)
ival-div: 1.0ms (18.6% of total)
ival-mult: 1.0ms (18.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
5.733880950154772e+93
3.402601541752129e+94
0.0ms
-6.149251827356778e+36
-1.0403562002696507e+27
Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch25.0ms (0.5%)

Memory
15.0MiB live, 52.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
8.386014750152526e+39
2.1492007665100474e+40
13.0ms
-6.396332096481579e+50
-7.500736756345061e+40
Samples
15.0ms240×0valid
Compiler

Compiled 270 to 179 computations (33.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (34.9% of total)
ival-add: 2.0ms (34.9% of total)
ival-mult: 2.0ms (34.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.4%)

Memory
-11.3MiB live, 34.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.7748251207461906e-8
1.6947797470141517
16.0ms
-2449811950599963600.0
-66931.38315080944
Samples
8.0ms160×0valid
Compiler

Compiled 338 to 223 computations (34% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 1.0ms (25.6% of total)
ival-add: 1.0ms (25.6% of total)
ival-mult: 1.0ms (25.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify7.0ms (0.2%)

Memory
16.7MiB live, 16.7MiB allocated
Algorithm
1×egg-herbie
Rules
6×*-commutative_binary64
6×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048230
155230
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
(if (<=.f64 y #s(literal -175000000000000010485760 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 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal -4999999999999999769381329101060571136 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal 10000000000000000202188791271559469885760963232143577411377768562080040049981643093586978275328 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 (+.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 y #s(literal -369999999999999981016937561433406307303424 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y)) (if (<=.f64 y #s(literal 8800000000000000557473901723274228793344 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 -68000 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 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
Outputs
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
(if (<=.f64 y #s(literal -175000000000000010485760 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 -175000000000000010485760 binary64)) (+.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 y x))) (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 z #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)))))
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal -4999999999999999769381329101060571136 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal 10000000000000000202188791271559469885760963232143577411377768562080040049981643093586978275328 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 (+.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal -4999999999999999769381329101060571136 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal 10000000000000000202188791271559469885760963232143577411377768562080040049981643093586978275328 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 (+.f64 y #s(literal 1/2 binary64))))))
(if (<=.f64 y #s(literal -369999999999999981016937561433406307303424 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y)) (if (<=.f64 y #s(literal 8800000000000000557473901723274228793344 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 -369999999999999981016937561433406307303424 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 8800000000000000557473901723274228793344 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 -68000 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 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))))
(if (<=.f64 y #s(literal -68000 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 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

soundness775.0ms (16.3%)

Memory
5.6MiB live, 359.8MiB allocated
Rules
7 074×lower-fma.f64
7 074×lower-fma.f32
6 434×lower-fma.f64
6 434×lower-fma.f32
6 376×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
01222
15218
245218
3607718
0804017
0721522
12231522
25981522
317441522
437511522
557541522
671891522
080091364
057440
1174440
2488440
31310440
43612440
56659440
08189412
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 205 to 95 computations (53.7% saved)

preprocess73.0ms (1.5%)

Memory
-14.0MiB live, 123.0MiB allocated
Compiler

Compiled 258 to 86 computations (66.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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