Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, D

Time bar (total: 3.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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 11 computations (0% saved)

sample835.0ms (28.1%)

Memory
30.5MiB live, 930.2MiB allocated
Samples
567.0ms8 255×0valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 303.0ms
ival-mult: 115.0ms (38% of total)
ival-div: 104.0ms (34.3% of total)
ival-sub: 69.0ms (22.8% of total)
exact: 7.0ms (2.3% of total)
ival-true: 5.0ms (1.7% of total)
ival-assert: 3.0ms (1% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain124.0ms (4.2%)

Memory
-16.1MiB live, 96.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 8 binary64)
00-0-(/.f64 (*.f64 x y) #s(literal 2 binary64))
00-0-z
00-0-(*.f64 x y)
00-0-(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
00-0-(/.f64 z #s(literal 8 binary64))
00-0-#s(literal 2 binary64)
00-0-y
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
47.0ms512×0valid
Compiler

Compiled 66 to 31 computations (53% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 22.0ms (69.2% of total)
ival-div: 6.0ms (18.9% of total)
ival-sub: 2.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess66.0ms (2.2%)

Memory
-2.9MiB live, 41.7MiB allocated
Algorithm
1×egg-herbie
Rules
352×lower-fma.f64
352×lower-fma.f32
256×lower-*.f32
254×lower-*.f64
172×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03387
17684
215381
333281
461681
5105781
6121081
7123481
8123481
099
0139
1189
2319
3409
4649
51089
61899
73129
84479
95149
105499
115509
05508
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
Symmetry

(sort x y)

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Compiler

Compiled 12 to 9 computations (25% saved)

simplify21.0ms (0.7%)

Memory
16.6MiB live, 16.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff128
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
cost-diff384
(/.f64 z #s(literal 8 binary64))
cost-diff384
(/.f64 (*.f64 x y) #s(literal 2 binary64))
Rules
352×lower-fma.f64
352×lower-fma.f32
256×lower-*.f32
254×lower-*.f64
88×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
01325
11825
23125
34025
46425
510825
618925
731225
844725
951425
1054925
1155025
055024
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
z
#s(literal 8 binary64)
Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
(*.f64 z #s(literal 1/8 binary64))
z
#s(literal 8 binary64)

localize38.0ms (1.3%)

Memory
-13.0MiB live, 24.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy0
(/.f64 z #s(literal 8 binary64))
accuracy0
(*.f64 x y)
accuracy0.01171875
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Samples
14.0ms256×0valid
Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 3.0ms (47.7% of total)
ival-mult: 2.0ms (31.8% of total)
ival-sub: 1.0ms (15.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.3%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor 0 z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor 0 z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor 0 z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor 0 z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor -inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor -inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor -inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor -inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/8 z) (taylor 0 x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 z) (taylor 0 y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 z) (taylor inf z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (* x y) z)) 1/8)) (taylor inf z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (* x y) z)) 1/8)) (taylor inf z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (* x y) z)) 1/8)) (taylor inf z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 z) (taylor -inf z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
Calls

24 calls:

TimeVariablePointExpression
1.0ms
x
@0
(- (/ (* x y) 2) (/ z 8))
1.0ms
y
@0
(/ (* x y) 2)
1.0ms
x
@inf
(/ (* x y) 2)
1.0ms
x
@0
(/ (* x y) 2)
0.0ms
y
@inf
(/ (* x y) 2)

simplify186.0ms (6.3%)

Memory
-22.6MiB live, 181.7MiB allocated
Algorithm
1×egg-herbie
Rules
4 218×lower-fma.f64
4 218×lower-fma.f32
3 690×lower-*.f64
3 690×lower-*.f32
2 036×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042508
1123508
2350508
3861508
41961508
54019508
66382508
08114481
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* 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
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 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)

rewrite229.0ms (7.7%)

Memory
39.8MiB live, 229.7MiB allocated
Rules
5 312×lower-fma.f64
5 312×lower-fma.f32
4 784×lower-*.f32
4 782×lower-*.f64
3 460×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
01320
15620
248620
0867719
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 221
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 z #s(literal 8 binary64))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(*.f64 x y)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y))))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 x y)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y)))
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(*.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z)))) (*.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))))
(*.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (*.f64 (*.f64 z z) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))))
(*.f64 (fma.f64 x (*.f64 y #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) z)) #s(literal -1/16 binary64))
(*.f64 (fma.f64 x (*.f64 y (/.f64 #s(literal 8 binary64) z)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) z)))
(*.f64 (fma.f64 x (*.f64 (neg.f64 y) #s(literal -8 binary64)) (*.f64 z #s(literal -2 binary64))) #s(literal 1/16 binary64))
(*.f64 (fma.f64 (neg.f64 y) (*.f64 x (/.f64 #s(literal 8 binary64) z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) z)))
(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x y)) z)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 8 binary64))))
(*.f64 (+.f64 #s(literal -8 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x y)) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -8 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 8 binary64) z) (/.f64 #s(literal -2 binary64) (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z))))
(*.f64 (fma.f64 x (*.f64 (neg.f64 y) #s(literal 8 binary64)) (*.f64 #s(literal 2 binary64) z)) #s(literal -1/16 binary64))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/512 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z)))))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (*.f64 (*.f64 z z) #s(literal -1/64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x y)))
(neg.f64 (neg.f64 (*.f64 x y)))
(*.f64 x y)
(*.f64 x (neg.f64 (neg.f64 y)))
(*.f64 x (*.f64 y #s(literal 1 binary64)))
(*.f64 y x)
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y (*.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x y)))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 (neg.f64 y)) x)
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (*.f64 #s(literal 1 binary64) x) y)
(*.f64 (*.f64 #s(literal 1 binary64) y) x)

eval86.0ms (2.9%)

Memory
-23.7MiB live, 60.1MiB allocated
Compiler

Compiled 5 252 to 611 computations (88.4% saved)

prune46.0ms (1.5%)

Memory
-7.3MiB live, 68.6MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3143317
Fresh000
Picked101
Done000
Total3153318
Accuracy
100.0%
Counts
318 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
▶41.3%
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
▶59.4%
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify24.0ms (0.8%)

Memory
25.1MiB live, 25.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z #s(literal -1/8 binary64))
cost-diff0
(*.f64 y #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
cost-diff0
(*.f64 z #s(literal -1/8 binary64))
cost-diff0
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
cost-diff0
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
Rules
352×lower-fma.f32
350×lower-fma.f64
256×lower-*.f32
248×lower-*.f64
100×distribute-lft-neg-in
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01863
02464
13764
25464
36364
48864
513464
622464
736961
853761
957861
1061161
1161261
061261
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
#s(literal 1/2 binary64)
(*.f64 x y)
x
y
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 z #s(literal -1/8 binary64))
z
#s(literal -1/8 binary64)
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
x
(*.f64 z #s(literal -1/8 binary64))
z
#s(literal -1/8 binary64)
Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 x y)
x
y
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 z #s(literal -1/8 binary64))
z
#s(literal -1/8 binary64)
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
x
(*.f64 z #s(literal -1/8 binary64))
z
#s(literal -1/8 binary64)

localize58.0ms (2%)

Memory
12.3MiB live, 52.1MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
accuracy0
(*.f64 z #s(literal -1/8 binary64))
accuracy0
(*.f64 y #s(literal 1/2 binary64))
accuracy0
(*.f64 z #s(literal -1/8 binary64))
accuracy37.542265181728354
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
accuracy0
(*.f64 x y)
accuracy0
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
accuracy25.954910692218945
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
Samples
45.0ms256×0valid
Compiler

Compiled 56 to 18 computations (67.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 27.0ms (81.9% of total)
ival-div: 3.0ms (9.1% of total)
ival-sub: 1.0ms (3% of total)
ival-add: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series31.0ms (1%)

Memory
-20.1MiB live, 17.4MiB allocated
Counts
7 → 180
Calls
Call 1
Inputs
#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 z #s(literal -1/8 binary64)) (patch (*.f64 z #s(literal -1/8 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -1/8 z) (taylor 0 x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 z) (taylor 0 y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 z) (taylor inf z) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (* x y) z)) 1/8)) (taylor inf z) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
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#s(alt (* -1/8 z) (taylor inf z) (#s(alt (*.f64 z #s(literal -1/8 binary64)) (patch (*.f64 z #s(literal -1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/8 z) (taylor -inf z) (#s(alt (*.f64 z #s(literal -1/8 binary64)) (patch (*.f64 z #s(literal -1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/8 z) (taylor -inf z) (#s(alt (*.f64 z #s(literal -1/8 binary64)) (patch (*.f64 z #s(literal -1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/8 z) (taylor -inf z) (#s(alt (*.f64 z #s(literal -1/8 binary64)) (patch (*.f64 z #s(literal -1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/8 z) (taylor -inf z) (#s(alt (*.f64 z #s(literal -1/8 binary64)) (patch (*.f64 z #s(literal -1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/8 z) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 z) (taylor 0 x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 z) (taylor inf z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (* x y) z)) 1/8)) (taylor inf z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (* x y) z)) 1/8)) (taylor inf z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (* x y) z)) 1/8)) (taylor inf z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 z) (taylor -inf z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 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 (* 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 inf 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 inf 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 inf 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 inf 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 -inf 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 -inf 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 -inf 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 -inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
Calls

45 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(* y 1/2)
0.0ms
y
@inf
(* y 1/2)
0.0ms
z
@0
(* z -1/8)
0.0ms
y
@0
(* y 1/2)
0.0ms
y
@0
(+ (* (* y 1/2) x) (* z -1/8))

simplify157.0ms (5.3%)

Memory
10.7MiB live, 218.5MiB allocated
Algorithm
1×egg-herbie
Rules
4 218×lower-fma.f64
4 218×lower-fma.f32
3 690×lower-*.f64
3 690×lower-*.f32
2 036×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0421104
11231104
23501104
38601104
419661104
540451104
664081104
081391023
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* 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)
(* x y)
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
Outputs
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.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)
(* x y)
(*.f64 x y)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 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)
(* 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)
(* 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)
(* 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)

rewrite358.0ms (12%)

Memory
13.0MiB live, 356.9MiB allocated
Rules
4 796×lower-/.f64
4 796×lower-/.f32
4 618×lower-*.f32
4 610×lower-*.f64
4 164×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01850
02451
18648
274448
0827048
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 232
Calls
Call 1
Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x y)
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 z #s(literal -1/8 binary64))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
(*.f64 y #s(literal 1/2 binary64))
Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 x y)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 x y)))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 (*.f64 x y) #s(literal 1/2 binary64))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(*.f64 (neg.f64 (*.f64 x y)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)))))
(*.f64 (neg.f64 (neg.f64 (*.f64 x y))) #s(literal 1/2 binary64))
(*.f64 x y)
(*.f64 y x)
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/8 binary64)))
(neg.f64 (*.f64 z #s(literal 1/8 binary64)))
(/.f64 z #s(literal -8 binary64))
(/.f64 (neg.f64 z) #s(literal 8 binary64))
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z z) #s(literal 1/64 binary64) (*.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/8 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 8 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 8 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (neg.f64 (neg.f64 z))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 8 binary64) z))))
(/.f64 (neg.f64 (neg.f64 z)) #s(literal -8 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) #s(literal 8 binary64))
(pow.f64 (neg.f64 (/.f64 #s(literal 8 binary64) z)) #s(literal -1 binary64))
(*.f64 z #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 (neg.f64 z) #s(literal 1/8 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/8 binary64)))
(*.f64 (neg.f64 (neg.f64 z)) #s(literal -1/8 binary64))
(+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 x y)) #s(literal 1/16 binary64)) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/64 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))))
(-.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(-.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 x y)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/64 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x y) #s(literal -8 binary64)) #s(literal -16 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) #s(literal -16 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x y) (*.f64 z #s(literal 1/8 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/8 binary64)))))
(-.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x y)) #s(literal 8 binary64)) #s(literal -16 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) z) #s(literal -16 binary64)))
(-.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x y)) #s(literal -8 binary64)) #s(literal 16 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 z)) #s(literal 16 binary64)))
(-.f64 (/.f64 (/.f64 (neg.f64 (*.f64 x y)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z))) (/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z))))
(-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 8 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) z) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 8 binary64))))
(-.f64 (/.f64 #s(literal -8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -8 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (neg.f64 z)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -8 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) z) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 z #s(literal 1/8 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/64 binary64)) (-.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (-.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 z #s(literal -1/8 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 x y)) #s(literal 1/16 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64))))
(fma.f64 (neg.f64 (*.f64 x y)) #s(literal -1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (neg.f64 z) #s(literal 1/8 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/64 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)))) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (neg.f64 (neg.f64 z)) #s(literal -1/8 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 (neg.f64 (*.f64 x y))) #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))
(/.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 16 binary64))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64))) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64))) (fma.f64 (*.f64 z z) #s(literal 1/64 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z z) #s(literal 1/64 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64))))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) (-.f64 (*.f64 (*.f64 x y) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/8 binary64))) (fma.f64 (*.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) (-.f64 (*.f64 (neg.f64 (*.f64 x y)) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (neg.f64 (*.f64 x y)) #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)) (fma.f64 (neg.f64 (*.f64 x y)) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 8 binary64)) (-.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -8 binary64)) (-.f64 #s(literal -8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (neg.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 z #s(literal 1/8 binary64))) (-.f64 (/.f64 #s(literal 8 binary64) z) (/.f64 #s(literal 2 binary64) (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 z z) #s(literal 1/64 binary64)) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (*.f64 z z) #s(literal 1/64 binary64))) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (fma.f64 (*.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/8 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x y)) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x y)) #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 x y)) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) z)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 8 binary64)))
(/.f64 (-.f64 #s(literal -8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (neg.f64 z))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -8 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) z) (/.f64 #s(literal 2 binary64) (*.f64 x y))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 z #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z))) #s(literal -16 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)))) (neg.f64 (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) #s(literal 1/64 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (*.f64 z z) #s(literal 1/64 binary64)))) (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) #s(literal 1/64 binary64)) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))) (-.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/64 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/64 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/64 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/64 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) #s(literal 1/64 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (*.f64 z z) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (-.f64 (*.f64 (*.f64 x y) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -1/16 binary64))
(*.f64 (fma.f64 (*.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x y)) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal -1/16 binary64))
(*.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x y)) #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 1/16 binary64))
(*.f64 (fma.f64 (neg.f64 (*.f64 x y)) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z))))
(*.f64 (-.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) z)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 8 binary64))))
(*.f64 (-.f64 #s(literal -8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -8 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 8 binary64) z) (/.f64 #s(literal 2 binary64) (*.f64 x y))) (*.f64 (*.f64 (*.f64 x y) z) #s(literal 1/16 binary64)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z))) #s(literal -1/16 binary64))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))))))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (*.f64 z z) #s(literal 1/64 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))))
(*.f64 (-.f64 (*.f64 (*.f64 z z) #s(literal 1/64 binary64)) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 y #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 y) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (neg.f64 y) #s(literal -1/2 binary64))

eval50.0ms (1.7%)

Memory
-31.9MiB live, 93.3MiB allocated
Compiler

Compiled 5 941 to 585 computations (90.2% saved)

prune99.0ms (3.3%)

Memory
32.6MiB live, 114.5MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New4470447
Fresh000
Picked033
Done000
Total4473450
Accuracy
100.0%
Counts
450 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
✓41.3%
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
✓59.4%
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
Compiler

Compiled 57 to 34 computations (40.4% saved)

regimes49.0ms (1.6%)

Memory
-6.6MiB live, 31.6MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Outputs
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
Calls

7 calls:

2.0ms
y
2.0ms
(/.f64 z #s(literal 8 binary64))
2.0ms
z
2.0ms
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
100.0%1(/.f64 (*.f64 x y) #s(literal 2 binary64))
100.0%1(*.f64 x y)
100.0%1(/.f64 z #s(literal 8 binary64))
Compiler

Compiled 44 to 33 computations (25% saved)

regimes14.0ms (0.5%)

Memory
-8.1MiB live, 30.2MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
Calls

7 calls:

4.0ms
(/.f64 (*.f64 x y) #s(literal 2 binary64))
2.0ms
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms
(/.f64 z #s(literal 8 binary64))
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
71.2%3x
75.2%3y
75.3%3z
63.6%3(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
80.9%3(/.f64 (*.f64 x y) #s(literal 2 binary64))
80.9%3(*.f64 x y)
75.3%3(/.f64 z #s(literal 8 binary64))
Compiler

Compiled 44 to 33 computations (25% saved)

regimes12.0ms (0.4%)

Memory
-12.3MiB live, 26.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
Calls

7 calls:

4.0ms
x
1.0ms
(*.f64 x y)
1.0ms
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
1.0ms
(/.f64 z #s(literal 8 binary64))
1.0ms
y
Results
AccuracySegmentsBranch
41.3%1(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
41.3%1x
41.3%1y
41.3%1z
41.3%1(/.f64 z #s(literal 8 binary64))
41.3%1(/.f64 (*.f64 x y) #s(literal 2 binary64))
41.3%1(*.f64 x y)
Compiler

Compiled 44 to 33 computations (25% saved)

bsearch20.0ms (0.7%)

Memory
-6.9MiB live, 36.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.847434628196129e-13
9.419916806033444e-12
7.0ms
-8.266566038744441e-110
-6.3379162806826734e-111
Samples
11.0ms208×0valid
Compiler

Compiled 223 to 171 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 5.0ms (82.1% of total)
ival-sub: 1.0ms (16.4% 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
14.9MiB live, 14.9MiB allocated
Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02476
12876
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
(if (<=.f64 (*.f64 x y) #s(literal -3384606560206073/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (if (<=.f64 (*.f64 x y) #s(literal 8120886657712095/19807040628566084398385987584 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64))) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
Outputs
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
(if (<=.f64 (*.f64 x y) #s(literal -3384606560206073/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (if (<=.f64 (*.f64 x y) #s(literal 8120886657712095/19807040628566084398385987584 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64))) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))
(if (<=.f64 (*.f64 y x) #s(literal -3384606560206073/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (if (<=.f64 (*.f64 y x) #s(literal 8120886657712095/19807040628566084398385987584 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64))) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))

soundness405.0ms (13.6%)

Memory
-8.7MiB live, 267.2MiB allocated
Rules
5 312×lower-fma.f64
5 312×lower-fma.f32
4 784×lower-*.f32
4 782×lower-*.f64
4 218×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
01320
15620
248620
0867719
042508
1123508
2350508
3861508
41961508
54019508
66382508
08114481
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 83 to 46 computations (44.6% saved)

preprocess47.0ms (1.6%)

Memory
3.2MiB live, 82.0MiB allocated
Remove

(sort x y)

Compiler

Compiled 132 to 66 computations (50% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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