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

Time bar (total: 8.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze42.0ms (0.5%)

Memory
9.8MiB live, 90.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%49.9%49.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
87.5%87.4%12.5%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
93.8%93.6%6.2%0.1%0%0%0%12
Compiler

Compiled 15 to 14 computations (6.7% saved)

sample1.1s (12.4%)

Memory
-132.2MiB live, 1 329.4MiB allocated
Samples
765.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 376.0ms
ival-mult: 155.0ms (41.2% of total)
ival-add: 99.0ms (26.3% of total)
ival-div: 65.0ms (17.3% of total)
ival-sub: 37.0ms (9.8% of total)
exact: 11.0ms (2.9% of total)
ival-true: 6.0ms (1.6% of total)
ival-assert: 4.0ms (1.1% of total)
Bogosity

explain302.0ms (3.4%)

Memory
3.0MiB live, 133.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
00-0-#s(literal 1 binary64)
00-0-(*.f64 y #s(literal 1/4 binary64))
00-0-#s(literal 1/4 binary64)
00-0-z
00-0-#s(literal 4 binary64)
00-0-(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))
00-0-(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
00-0-y
00-0-(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)
00-0-(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) 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
122.0ms3valid
72.0ms510×0valid
Compiler

Compiled 128 to 40 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 176.0ms
adjust: 121.0ms (68.6% of total)
ival-mult: 43.0ms (24.4% of total)
ival-add: 5.0ms (2.8% of total)
ival-div: 4.0ms (2.3% of total)
ival-sub: 2.0ms (1.1% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess942.0ms (10.7%)

Memory
21.0MiB live, 257.8MiB allocated
Algorithm
egg-herbie
Rules
3 646×lower-fma.f64
3 646×lower-fma.f32
1 460×lower-/.f32
1 459×lower-/.f64
1 337×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046130
1124117
2374117
31076101
4322785
5748085
01213
01813
13013
25813
311013
421111
54749
614729
746269
081078
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
Compiler

Compiled 16 to 12 computations (25% saved)

simplify150.0ms (1.7%)

Memory
4.5MiB live, 239.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
cost-diff128
(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
cost-diff192
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
cost-diff320
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))
Rules
3 646×lower-fma.f64
3 646×lower-fma.f32
1 460×lower-/.f32
1 459×lower-/.f64
1 337×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01254
01854
13054
25854
311054
421148
547446
6147246
7462646
0810741
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))
#s(literal 4 binary64)
(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)
(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
x
(*.f64 y #s(literal 1/4 binary64))
y
#s(literal 1/4 binary64)
z
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
(/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 z x) y) y)
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))
(fma.f64 #s(literal -4 binary64) (-.f64 z x) y)
#s(literal 4 binary64)
(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)
(fma.f64 #s(literal 1/4 binary64) y (-.f64 x z))
(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) y x)
x
(*.f64 y #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)
y
#s(literal 1/4 binary64)
z

localize31.0ms (0.4%)

Memory
0.6MiB live, 76.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))
accuracy0.00390625
(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)
accuracy0.00390625
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
accuracy0.015625
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Samples
19.0ms255×0valid
0.0ms3valid
Compiler

Compiled 56 to 14 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (46.1% of total)
ival-div: 2.0ms (18.4% of total)
ival-add: 2.0ms (18.4% of total)
ival-sub: 1.0ms (9.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series37.0ms (0.4%)

Memory
-14.0MiB live, 38.3MiB allocated
Counts
5 → 168
Calls
Call 1
Inputs
#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) #<representation binary64>) () ())
#s(alt (+.f64 x (*.f64 y #s(literal 1/4 binary64))) (patch (+.f64 x (*.f64 y #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) (patch (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) #<representation binary64>) () ())
Outputs
#s(alt (* 4 (- (* 1/4 y) z)) (taylor 0 x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 x) (* 4 (- (* 1/4 y) z))) (taylor 0 x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 x) (* 4 (- (* 1/4 y) z))) (taylor 0 x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 x) (* 4 (- (* 1/4 y) z))) (taylor 0 x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) (taylor -inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) (taylor -inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) (taylor -inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* 4 (- x z)) (taylor 0 y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 4 (- x z))) (taylor 0 y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 4 (- x z))) (taylor 0 y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 4 (- x z))) (taylor 0 y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 4 (/ (- x z) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 4 (/ (- x z) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 4 (/ (- x z) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -4 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -4 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -4 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* 4 (+ x (* 1/4 y))) (taylor 0 z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 z) (* 4 (+ x (* 1/4 y)))) (taylor 0 z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 z) (* 4 (+ x (* 1/4 y)))) (taylor 0 z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 z) (* 4 (+ x (* 1/4 y)))) (taylor 0 z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor inf z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) (taylor inf z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) (taylor inf z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) (taylor inf z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor -inf z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) (patch (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) (patch (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) #<representation binary64>) () ())) ())
Calls

42 calls:

TimeVariablePointExpression
23.0ms
x
@0
(+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y))
1.0ms
x
@inf
(/ (* 4 (- (+ x (* y 1/4)) z)) y)
1.0ms
y
@inf
(* 4 (- (+ x (* y 1/4)) z))
0.0ms
x
@inf
(* 4 (- (+ x (* y 1/4)) z))
0.0ms
x
@-inf
(+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y))

simplify162.0ms (1.8%)

Memory
-6.1MiB live, 262.6MiB allocated
Algorithm
egg-herbie
Rules
5 218×lower-fma.f64
5 218×lower-fma.f32
2 538×lower-*.f64
2 538×lower-*.f32
768×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01471476
14401413
212121252
347901240
082511105
Stop Event
iter limit
node limit
Counts
168 → 161
Calls
Call 1
Inputs
(* 4 (- (* 1/4 y) z))
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(* 4 x)
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(* 4 x)
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(* 4 (- x z))
(+ y (* 4 (- x z)))
(+ y (* 4 (- x z)))
(+ y (* 4 (- x z)))
y
(* y (+ 1 (* 4 (/ (- x z) y))))
(* y (+ 1 (* 4 (/ (- x z) y))))
(* y (+ 1 (* 4 (/ (- x z) y))))
y
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(* 4 (+ x (* 1/4 y)))
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(* -4 z)
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(* -4 z)
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* 1/4 y)
(+ x (* 1/4 y))
(+ x (* 1/4 y))
(+ x (* 1/4 y))
x
(* x (+ 1 (* 1/4 (/ y x))))
(* x (+ 1 (* 1/4 (/ y x))))
(* x (+ 1 (* 1/4 (/ y x))))
x
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
x
(+ x (* 1/4 y))
(+ x (* 1/4 y))
(+ x (* 1/4 y))
(* 1/4 y)
(* y (+ 1/4 (/ x y)))
(* y (+ 1/4 (/ x y)))
(* y (+ 1/4 (/ x y)))
(* 1/4 y)
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(* 4 (/ (- (* 1/4 y) z) y))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ y (* 4 (- x z))) y)
(/ (+ y (* 4 (- x z))) y)
(/ (+ y (* 4 (- x z))) y)
1
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
1
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
(* 4 (/ (+ x (* 1/4 y)) y))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(* -4 (/ z y))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(- (* 1/4 y) z)
(- (+ x (* 1/4 y)) z)
(- (+ x (* 1/4 y)) z)
(- (+ x (* 1/4 y)) z)
x
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))
x
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))
(- x z)
(- (+ x (* 1/4 y)) z)
(- (+ x (* 1/4 y)) z)
(- (+ x (* 1/4 y)) z)
(* 1/4 y)
(* y (- (+ 1/4 (/ x y)) (/ z y)))
(* y (- (+ 1/4 (/ x y)) (/ z y)))
(* y (- (+ 1/4 (/ x y)) (/ z y)))
(* 1/4 y)
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
(+ x (* 1/4 y))
(+ x (+ (* -1 z) (* 1/4 y)))
(+ x (+ (* -1 z) (* 1/4 y)))
(+ x (+ (* -1 z) (* 1/4 y)))
(* -1 z)
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))
Outputs
(* 4 (- (* 1/4 y) z))
(fma.f64 #s(literal -4 binary64) z y)
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* 4 (- x z))
(*.f64 (-.f64 x z) #s(literal 4 binary64))
(+ y (* 4 (- x z)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(+ y (* 4 (- x z)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(+ y (* 4 (- x z)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
y
(* y (+ 1 (* 4 (/ (- x z) y))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* y (+ 1 (* 4 (/ (- x z) y))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* y (+ 1 (* 4 (/ (- x z) y))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
y
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* 4 (+ x (* 1/4 y)))
(fma.f64 x #s(literal 4 binary64) y)
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 z #s(literal 4 binary64)) y))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 z #s(literal 4 binary64)) y)) x)) x)
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 z #s(literal 4 binary64)) y)) x)) x)
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 z #s(literal 4 binary64)) y)) x)) x)
(* 4 (/ (- x z) y))
(*.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) y) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(+ x (* 1/4 y))
(fma.f64 y #s(literal 1/4 binary64) x)
(+ x (* 1/4 y))
(fma.f64 y #s(literal 1/4 binary64) x)
(+ x (* 1/4 y))
(fma.f64 y #s(literal 1/4 binary64) x)
x
(* x (+ 1 (* 1/4 (/ y x))))
(fma.f64 y #s(literal 1/4 binary64) x)
(* x (+ 1 (* 1/4 (/ y x))))
(fma.f64 y #s(literal 1/4 binary64) x)
(* x (+ 1 (* 1/4 (/ y x))))
(fma.f64 y #s(literal 1/4 binary64) x)
x
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(fma.f64 y #s(literal 1/4 binary64) x)
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(fma.f64 y #s(literal 1/4 binary64) x)
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(fma.f64 y #s(literal 1/4 binary64) x)
x
(+ x (* 1/4 y))
(fma.f64 y #s(literal 1/4 binary64) x)
(+ x (* 1/4 y))
(fma.f64 y #s(literal 1/4 binary64) x)
(+ x (* 1/4 y))
(fma.f64 y #s(literal 1/4 binary64) x)
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* y (+ 1/4 (/ x y)))
(fma.f64 y #s(literal 1/4 binary64) x)
(* y (+ 1/4 (/ x y)))
(fma.f64 y #s(literal 1/4 binary64) x)
(* y (+ 1/4 (/ x y)))
(fma.f64 y #s(literal 1/4 binary64) x)
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(fma.f64 y #s(literal 1/4 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(fma.f64 y #s(literal 1/4 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(fma.f64 y #s(literal 1/4 binary64) x)
(* 4 (/ (- (* 1/4 y) z) y))
(/.f64 (fma.f64 #s(literal -4 binary64) z y) y)
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
(* 4 (/ (- x z) y))
(*.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y))
(/ (+ y (* 4 (- x z))) y)
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
(/ (+ y (* 4 (- x z))) y)
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
(/ (+ y (* 4 (- x z))) y)
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
(* 4 (/ (+ x (* 1/4 y)) y))
(/.f64 (fma.f64 x #s(literal 4 binary64) y) y)
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))
(- (* 1/4 y) z)
(fma.f64 y #s(literal 1/4 binary64) (neg.f64 z))
(- (+ x (* 1/4 y)) z)
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
(- (+ x (* 1/4 y)) z)
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
(- (+ x (* 1/4 y)) z)
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
x
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) y z) x)) x)
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) y z) x)) x)
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) y z) x)) x)
x
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) y z) x)) x)
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) y z) x)) x)
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) y z) x)) x)
(- x z)
(-.f64 x z)
(- (+ x (* 1/4 y)) z)
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
(- (+ x (* 1/4 y)) z)
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
(- (+ x (* 1/4 y)) z)
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* y (- (+ 1/4 (/ x y)) (/ z y)))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))
(* y (- (+ 1/4 (/ x y)) (/ z y)))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))
(* y (- (+ 1/4 (/ x y)) (/ z y)))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))
(+ x (* 1/4 y))
(fma.f64 y #s(literal 1/4 binary64) x)
(+ x (+ (* -1 z) (* 1/4 y)))
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
(+ x (+ (* -1 z) (* 1/4 y)))
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
(+ x (+ (* -1 z) (* 1/4 y)))
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
(* -1 z)
(neg.f64 z)
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) z) y (/.f64 x z)) #s(literal 1 binary64)) z)
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) z) y (/.f64 x z)) #s(literal 1 binary64)) z)
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) z) y (/.f64 x z)) #s(literal 1 binary64)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))

rewrite203.0ms (2.3%)

Memory
37.9MiB live, 267.1MiB allocated
Rules
3 451×lower-fma.f64
3 451×lower-fma.f32
2 686×lower-*.f32
2 684×lower-*.f64
1 838×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
01845
17445
262945
0848039
Stop Event
iter limit
node limit
iter limit
Counts
5 → 436
Calls
Call 1
Inputs
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)) (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (fma.f64 #s(literal 1/4 binary64) y x) (*.f64 (*.f64 z z) z))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x) (*.f64 z (-.f64 z (fma.f64 #s(literal 1/4 binary64) y x)))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)) (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (fma.f64 #s(literal 1/4 binary64) y x) (*.f64 (*.f64 (neg.f64 z) z) z)) #s(literal 4 binary64)) (*.f64 (fma.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x) (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)))))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x) (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (fma.f64 #s(literal 1/4 binary64) y x) (*.f64 (*.f64 (neg.f64 z) z) z)) #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (fma.f64 #s(literal 1/4 binary64) y x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x))) (fma.f64 #s(literal 1/4 binary64) y x) (*.f64 (*.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z))) (*.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)))) (*.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (*.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z))) (-.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z))) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x))))))
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (fma.f64 #s(literal 1/4 binary64) y x) (*.f64 (*.f64 z z) z))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x) (*.f64 z (-.f64 z (fma.f64 #s(literal 1/4 binary64) y x)))))
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) (*.f64 (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (fma.f64 #s(literal 1/4 binary64) y x) (*.f64 (*.f64 (neg.f64 z) z) z))) (*.f64 (fma.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x) (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)))))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x) (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)))))
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (fma.f64 #s(literal 1/4 binary64) y x) (*.f64 (*.f64 (neg.f64 z) z) z))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (fma.f64 #s(literal 1/4 binary64) y x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x))) (fma.f64 #s(literal 1/4 binary64) y x) (*.f64 (*.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z))) (*.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)))) (*.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (*.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z))) (-.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z))) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x))))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)) (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z))))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (fma.f64 #s(literal 1/4 binary64) y x) (*.f64 (*.f64 (neg.f64 z) z) z)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)))))
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z))))
(*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (fma.f64 #s(literal 1/4 binary64) y x) (*.f64 (*.f64 (neg.f64 z) z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)))))
(*.f64 #s(literal -4 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))
(*.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) #s(literal -4 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z))) #s(literal 4 binary64)))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (fma.f64 #s(literal 1/4 binary64) y x) (*.f64 (*.f64 (neg.f64 z) z) z)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)))) #s(literal 4 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)))
(*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))
(/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (-.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) y) z))) #s(literal 4 binary64)) (-.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) y) z)))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (-.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x))) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) #s(literal 4 binary64)) (fma.f64 x x (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (-.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x))))
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(fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (fma.f64 #s(literal 1/4 binary64) y x)) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (fma.f64 #s(literal 1/4 binary64) y x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x))) (fma.f64 #s(literal 1/4 binary64) y x) (*.f64 (*.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z))) (*.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)))) (*.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (*.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z))) (-.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z))) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x))))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x))))))
(fma.f64 (/.f64 (fma.f64 x x (*.f64 #s(literal -1/16 binary64) (*.f64 y y))) (fma.f64 x x (*.f64 #s(literal -1/16 binary64) (*.f64 y y)))) (fma.f64 #s(literal 1/4 binary64) y x) (neg.f64 z))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) y z)) x)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) y) y (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) y) x)) (neg.f64 z))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/4 binary64) y))) (fma.f64 x x (*.f64 #s(literal -1/16 binary64) (*.f64 y y))) (neg.f64 z))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) y) (-.f64 (*.f64 #s(literal 1/4 binary64) y) x) (*.f64 x x))) (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (neg.f64 z))
(fma.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) y) y (*.f64 z (+.f64 z (*.f64 #s(literal 1/4 binary64) y))))) x)
(fma.f64 (neg.f64 (fma.f64 x x (*.f64 #s(literal -1/16 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 #s(literal 1/4 binary64) y)))) (neg.f64 z))
(fma.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) (-.f64 (*.f64 #s(literal 1/4 binary64) y) x) (*.f64 x x)))) (neg.f64 z))
(fma.f64 #s(literal -1 binary64) z (fma.f64 #s(literal 1/4 binary64) y x))
(fma.f64 (fma.f64 x x (*.f64 #s(literal -1/16 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/4 binary64) y))) (neg.f64 z))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)))))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (fma.f64 #s(literal 1/4 binary64) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) (-.f64 (*.f64 #s(literal 1/4 binary64) y) x) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) y) (-.f64 (*.f64 #s(literal 1/4 binary64) y) x) (*.f64 x x)))) (neg.f64 z))
(fma.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/4 binary64) y))))) (neg.f64 z))
(fma.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) y) (-.f64 (*.f64 #s(literal 1/4 binary64) y) x) (*.f64 x x))) (neg.f64 z))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) y x) (neg.f64 z))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (*.f64 (-.f64 x (*.f64 #s(literal 1/4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/4 binary64) y)))) (neg.f64 z))
(fma.f64 #s(literal 1/4 binary64) y (+.f64 (neg.f64 z) x))
(fma.f64 #s(literal 1/4 binary64) y (-.f64 x z))
(fma.f64 y #s(literal 1/4 binary64) (+.f64 (neg.f64 z) x))
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
(-.f64 (+.f64 (neg.f64 z) (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/4 binary64) y)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 y y)) (-.f64 x (*.f64 #s(literal 1/4 binary64) y))))
(-.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 0 binary64)) z)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) y) z))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (-.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (-.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) y) z))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/4 binary64) y))) (+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 y y)) (-.f64 x (*.f64 #s(literal 1/4 binary64) y))) z))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/4 binary64) y))) (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 y y)) (-.f64 x (*.f64 #s(literal 1/4 binary64) y))) (neg.f64 z)))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z))) (/.f64 (*.f64 z z) (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z))))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (fma.f64 #s(literal 1/4 binary64) y x)) (fma.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)))) (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)))))
(-.f64 #s(literal 0 binary64) (-.f64 z (fma.f64 #s(literal 1/4 binary64) y x)))
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
(-.f64 (*.f64 #s(literal 1/4 binary64) y) (-.f64 z x))
(+.f64 (+.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) y)) x)
(+.f64 (+.f64 (neg.f64 z) x) (*.f64 #s(literal 1/4 binary64) y))
(+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)))))
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (fma.f64 #s(literal 1/4 binary64) y x)) (fma.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 x z)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x))))))
(+.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x)
(+.f64 (neg.f64 z) (fma.f64 #s(literal 1/4 binary64) y x))
(+.f64 (fma.f64 #s(literal 1/4 binary64) y x) (neg.f64 z))
(+.f64 (*.f64 #s(literal 1/4 binary64) y) (+.f64 (neg.f64 z) x))
(+.f64 (*.f64 #s(literal 1/4 binary64) y) (-.f64 x z))
(+.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) y) z))

eval169.0ms (1.9%)

Memory
-30.2MiB live, 170.1MiB allocated
Compiler

Compiled 17 617 to 1 939 computations (89% saved)

prune85.0ms (1%)

Memory
-5.6MiB live, 191.6MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New5889597
Fresh000
Picked101
Done000
Total5899598
Accuracy
100.0%
Counts
598 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y))
34.6%
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y))
98.6%
(+.f64 #s(literal 1 binary64) #s(approx (/ (* 4 (- (+ x (* y 1/4)) z)) y) (fma.f64 (/.f64 #s(literal -4 binary64) y) z (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))))
99.8%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
43.7%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
74.2%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 z #s(literal 4 binary64)) y)))
29.5%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
68.9%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y)))
32.7%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
Compiler

Compiled 198 to 134 computations (32.3% saved)

simplify165.0ms (1.9%)

Memory
19.4MiB live, 168.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -4 binary64) y)
cost-diff0
(-.f64 z x)
cost-diff0
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
cost-diff0
(*.f64 z #s(literal 4 binary64))
cost-diff0
(/.f64 (*.f64 z #s(literal 4 binary64)) y)
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 z #s(literal 4 binary64)) y)))
cost-diff128
(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 z #s(literal 4 binary64)) y))
cost-diff0
(*.f64 #s(literal -4 binary64) z)
cost-diff0
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
cost-diff0
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
cost-diff0
#s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))
cost-diff0
(/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y))
Rules
4 070×lower-fma.f32
4 068×lower-fma.f64
1 222×lower-*.f32
1 220×lower-*.f64
792×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031195
045195
175195
2127195
3238195
4507174
51229166
63630166
76126166
08121164
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y))
#s(literal 1 binary64)
(/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)
#s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(-.f64 x z)
x
z
#s(literal 4 binary64)
y
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 z #s(literal 4 binary64)) y)))
(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 z #s(literal 4 binary64)) y))
#s(literal 2 binary64)
(/.f64 (*.f64 z #s(literal 4 binary64)) y)
(*.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
y
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(-.f64 z x)
z
x
(/.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
#s(literal 2 binary64)
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y))
(+.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 z x) #s(literal -4 binary64) y)) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)
(/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 z x) #s(literal -4 binary64) y)) y)
#s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))
#s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 z x) #s(literal -4 binary64) y))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(fma.f64 (-.f64 z x) #s(literal -4 binary64) y)
(-.f64 x z)
x
z
#s(literal 4 binary64)
y
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 (/.f64 z y) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 z #s(literal 4 binary64)) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 z #s(literal 4 binary64)) y))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 z #s(literal 4 binary64)) y)
(*.f64 (/.f64 z y) #s(literal 4 binary64))
(*.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
y
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
(-.f64 z x)
z
x
(/.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
#s(literal 2 binary64)

localize96.0ms (1.1%)

Memory
15.6MiB live, 171.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal -4 binary64) y)
accuracy0
(-.f64 z x)
accuracy0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
accuracy0.140625
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
accuracy0
(/.f64 (*.f64 z #s(literal 4 binary64)) y)
accuracy0
(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 z #s(literal 4 binary64)) y))
accuracy0
(*.f64 z #s(literal 4 binary64))
accuracy16.520467082142012
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 z #s(literal 4 binary64)) y)))
accuracy0
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
accuracy0
(*.f64 #s(literal -4 binary64) z)
accuracy36.020439057605934
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
accuracy43.06536193001624
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
accuracy0
#s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))
accuracy0.00390625
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y))
accuracy0.0078125
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
accuracy0.015625
(/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)
Samples
64.0ms255×0valid
1.0ms3valid
Compiler

Compiled 153 to 28 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-add: 20.0ms (44.3% of total)
ival-div: 10.0ms (22.1% of total)
ival-mult: 9.0ms (19.9% of total)
ival-sub: 4.0ms (8.9% of total)
exact: 1.0ms (2.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series40.0ms (0.5%)

Memory
-9.6MiB live, 50.8MiB allocated
Counts
16 → 456
Calls
Call 1
Inputs
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y) (patch (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y) #<representation binary64>) () ())
#s(alt #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) (patch #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) (patch (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (*.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -4 binary64) z) (patch (*.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 z #s(literal 4 binary64)) y)) (patch (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 z #s(literal 4 binary64)) y)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 z #s(literal 4 binary64)) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 z #s(literal 4 binary64)) y))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 z #s(literal 4 binary64)) y) (patch (/.f64 (*.f64 z #s(literal 4 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 z #s(literal 4 binary64)) (patch (*.f64 z #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -4 binary64) y) (patch (/.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())
Outputs
#s(alt (+ 1 (* 4 (/ (- (* 1/4 y) z) y))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (- x z) y)) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor -inf z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ (- z x) y)) (taylor 0 y) (#s(alt (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 (- z x)) (* 2 y)) y) (taylor 0 y) (#s(alt (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 (- z x)) (* 2 y)) y) (taylor 0 y) (#s(alt (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 (- z x)) (* 2 y)) y) (taylor 0 y) (#s(alt (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor inf y) (#s(alt (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -4 (/ (- z x) y))) (taylor inf y) (#s(alt (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 2 (* -4 (/ (- z x) y))) (taylor inf y) (#s(alt (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 2 (* -4 (/ (- z x) y))) (taylor -inf y) (#s(alt (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -4 (/ (- z x) y))) (taylor -inf y) (#s(alt (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -4 (/ (- z x) y))) (taylor -inf y) (#s(alt (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (- z x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (- z x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (- z x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* -1 (/ x z)))) (taylor inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* -1 (/ x z)))) (taylor inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* -1 (/ x z)))) (taylor inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (/ x z) 1))) (taylor -inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (/ x z) 1))) (taylor -inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (/ x z) 1))) (taylor -inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
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#s(alt (+ z (* -1 x)) (taylor 0 x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1 x)) (taylor 0 x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ z x) 1)) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ z x) 1)) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ z x) 1)) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
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#s(alt (/ -4 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -4 binary64) y) (patch (/.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -4 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -4 binary64) y) (patch (/.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -4 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -4 binary64) y) (patch (/.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -4 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -4 binary64) y) (patch (/.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -4 y) (taylor inf y) (#s(alt (/.f64 #s(literal -4 binary64) y) (patch (/.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -4 y) (taylor inf y) (#s(alt (/.f64 #s(literal -4 binary64) y) (patch (/.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -4 y) (taylor inf y) (#s(alt (/.f64 #s(literal -4 binary64) y) (patch (/.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -4 y) (taylor inf y) (#s(alt (/.f64 #s(literal -4 binary64) y) (patch (/.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -4 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -4 binary64) y) (patch (/.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -4 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -4 binary64) y) (patch (/.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -4 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -4 binary64) y) (patch (/.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -4 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -4 binary64) y) (patch (/.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())) ())
Calls

114 calls:

TimeVariablePointExpression
10.0ms
z
@0
(* z 4)
3.0ms
x
@0
(+ (* (- z x) (/ -4 y)) 2)
1.0ms
z
@0
(+ (* (- z x) (/ -4 y)) 2)
1.0ms
z
@inf
(/ (* -4 z) y)
0.0ms
z
@0
(/ (* -4 z) y)

simplify327.0ms (3.7%)

Memory
5.8MiB live, 234.9MiB allocated
Algorithm
egg-herbie
Rules
4 390×lower-fma.f64
4 390×lower-fma.f32
2 187×lower-*.f64
2 187×lower-*.f32
765×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01914393
15624221
215393351
355953273
083282973
Stop Event
iter limit
node limit
Counts
456 → 449
Calls
Call 1
Inputs
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
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(* -4 z)
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(/ (- (* 2 y) (* 4 z)) y)
(/ (- (* 2 y) (* 4 z)) y)
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(/ (+ (* -4 (- z x)) (* 2 y)) y)
(/ (+ (* -4 (- z x)) (* 2 y)) y)
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(* -1 x)
(- z x)
(- z x)
(- z x)
z
(* z (+ 1 (* -1 (/ x z))))
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(* z (+ 1 (* -1 (/ x z))))
z
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(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
z
(+ z (* -1 x))
(+ z (* -1 x))
(+ z (* -1 x))
(* -1 x)
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(* x (- (/ z x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
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(/ -4 y)
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(/ -4 y)
(/ -4 y)
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Outputs
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x)
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x)
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x)
(* 4 (/ (- x z) y))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 z x) #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 z x) #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 z x) #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
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(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) y) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -1 binary64))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -1 binary64))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -1 binary64))))
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x)
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x)
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x)
(* -4 (/ (- z x) y))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(/ (+ (* -4 (- z x)) (* 2 y)) y)
(/.f64 (fma.f64 (-.f64 z x) #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
(/ (+ (* -4 (- z x)) (* 2 y)) y)
(/.f64 (fma.f64 (-.f64 z x) #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
(/ (+ (* -4 (- z x)) (* 2 y)) y)
(/.f64 (fma.f64 (-.f64 z x) #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
2
#s(literal 2 binary64)
(+ 2 (* -4 (/ (- z x) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* -4 (/ (- z x) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* -4 (/ (- z x) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -4 (/ (- z x) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* -4 (/ (- z x) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* -4 (/ (- z x) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -1 x)
(neg.f64 x)
(- z x)
(-.f64 z x)
(- z x)
(-.f64 z x)
(- z x)
(-.f64 z x)
z
(* z (+ 1 (* -1 (/ x z))))
(-.f64 z x)
(* z (+ 1 (* -1 (/ x z))))
(-.f64 z x)
(* z (+ 1 (* -1 (/ x z))))
(-.f64 z x)
z
(* -1 (* z (- (/ x z) 1)))
(-.f64 z x)
(* -1 (* z (- (/ x z) 1)))
(-.f64 z x)
(* -1 (* z (- (/ x z) 1)))
(-.f64 z x)
z
(+ z (* -1 x))
(-.f64 z x)
(+ z (* -1 x))
(-.f64 z x)
(+ z (* -1 x))
(-.f64 z x)
(* -1 x)
(neg.f64 x)
(* x (- (/ z x) 1))
(-.f64 z x)
(* x (- (/ z x) 1))
(-.f64 z x)
(* x (- (/ z x) 1))
(-.f64 z x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(-.f64 z x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(-.f64 z x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(-.f64 z x)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)

rewrite363.0ms (4.1%)

Memory
-7.4MiB live, 264.4MiB allocated
Rules
2 408×lower-*.f32
2 406×lower-*.f64
2 315×lower-/.f32
2 311×lower-/.f64
2 004×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031174
045174
1200174
21662174
08743161
Stop Event
iter limit
node limit
iter limit
Counts
16 → 289
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y))
(/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)
#s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 z #s(literal 4 binary64)) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 z #s(literal 4 binary64)) y)))
(/.f64 (*.f64 z #s(literal 4 binary64)) y)
(*.f64 z #s(literal 4 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(-.f64 z x)
(/.f64 #s(literal -4 binary64) y)
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))) #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y) (-.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))) (*.f64 y y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y) (-.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))) #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))) (*.f64 y y)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))) (*.f64 y y))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))) #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y) (-.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (/.f64 (*.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y))))
(/.f64 (-.f64 (/.f64 (*.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))) #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))) #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y) (-.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))) (*.f64 y y))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal -2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 z x) #s(literal -4 binary64)) (*.f64 (-.f64 z x) #s(literal -4 binary64))) (*.f64 y y)) #s(literal 4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 z x) #s(literal -4 binary64)) (*.f64 (-.f64 z x) #s(literal -4 binary64))) (*.f64 y y)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -4 binary64) y) (*.f64 (-.f64 z x) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (-.f64 z x) (-.f64 z x)) (-.f64 z x)) #s(literal 8 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 z x) #s(literal -4 binary64)) (*.f64 (-.f64 z x) #s(literal -4 binary64))) (*.f64 y y)) #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal -2 binary64)))
(/.f64 (fma.f64 (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (-.f64 z x) (-.f64 z x)) (-.f64 z x)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z x) #s(literal -4 binary64)) (*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64))) (*.f64 (*.f64 (-.f64 z x) #s(literal -4 binary64)) #s(literal 2 binary64))) y)))
(/.f64 (fma.f64 (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (-.f64 z x) (-.f64 z x)) (-.f64 z x)) #s(literal 8 binary64)) (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 z x) #s(literal -4 binary64)) (*.f64 (-.f64 z x) #s(literal -4 binary64))) (*.f64 y y)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -4 binary64) y) (*.f64 (-.f64 z x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal -2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 z x) #s(literal -4 binary64)) (*.f64 (-.f64 z x) #s(literal -4 binary64))) (*.f64 y y)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 z x) #s(literal -4 binary64)) (*.f64 (-.f64 z x) #s(literal -4 binary64))) (*.f64 y y)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -4 binary64) y) (*.f64 (-.f64 z x) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (-.f64 z x) (-.f64 z x)) (-.f64 z x)) #s(literal 8 binary64))))
(fma.f64 (/.f64 (-.f64 z x) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))
(fma.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x)) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (+.f64 z x)))) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 (-.f64 z x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 z x) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal 2 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 z x)) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 z x) #s(literal -4 binary64)) (*.f64 (-.f64 z x) #s(literal -4 binary64))) (*.f64 y y)) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 z x) #s(literal -4 binary64)) (*.f64 (-.f64 z x) #s(literal -4 binary64))) (*.f64 y y)) (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal -2 binary64))))
(+.f64 (*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(*.f64 (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (+.f64 z x)))))
(pow.f64 (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x))) #s(literal -1 binary64))
(/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) (*.f64 (*.f64 z z) z)) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 (neg.f64 x) z))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 z x)))) (neg.f64 (neg.f64 (+.f64 z x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x)))) (neg.f64 (neg.f64 (fma.f64 z z (*.f64 x (+.f64 z x))))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 z x)) (*.f64 (+.f64 z x) (*.f64 x x))) (*.f64 (+.f64 z x) (+.f64 z x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) z) (fma.f64 z z (*.f64 x (+.f64 z x)))) (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 z x))) (neg.f64 (-.f64 z (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 z x))) (neg.f64 (+.f64 z x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x))) (neg.f64 (fma.f64 z z (-.f64 (*.f64 x x) (*.f64 z (neg.f64 x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x))) (neg.f64 (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x)))))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z (neg.f64 x)))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (+.f64 z x))
(/.f64 (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x)) (fma.f64 z z (-.f64 (*.f64 x x) (*.f64 z (neg.f64 x)))))
(/.f64 (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x)) (fma.f64 z z (*.f64 x (+.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x))))
(fma.f64 #s(literal -1 binary64) x z)
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 z (neg.f64 x))))
(-.f64 (/.f64 (*.f64 z z) (+.f64 z x)) (/.f64 (*.f64 x x) (+.f64 z x)))
(-.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 z z (*.f64 x (+.f64 z x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 z z (*.f64 x (+.f64 z x)))))
(-.f64 z x)
(+.f64 (neg.f64 x) z)
(+.f64 z (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) y))
(pow.f64 (/.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y #s(literal -1/4 binary64))))
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -4 binary64) y)
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 #s(literal 4 binary64) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 y #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/4 binary64)))
(neg.f64 (/.f64 #s(literal 4 binary64) y))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal -1/4 binary64))) #s(literal -1 binary64)))

eval134.0ms (1.5%)

Memory
10.5MiB live, 143.4MiB allocated
Compiler

Compiled 10 141 to 805 computations (92.1% saved)

prune129.0ms (1.5%)

Memory
-5.0MiB live, 145.7MiB allocated
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New7344738
Fresh134
Picked325
Done000
Total7389747
Accuracy
100.0%
Counts
747 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.6%
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y))
98.6%
(+.f64 #s(literal 1 binary64) #s(approx (/ (* 4 (- (+ x (* y 1/4)) z)) y) (fma.f64 (/.f64 #s(literal -4 binary64) y) z (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))))
100.0%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64)))
74.2%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
43.7%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
29.5%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
68.9%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)))
59.9%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))))
32.7%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
Compiler

Compiled 176 to 118 computations (33% saved)

simplify181.0ms (2%)

Memory
9.1MiB live, 199.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 z x)
cost-diff0
(/.f64 #s(literal -4 binary64) y)
cost-diff0
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)))
cost-diff0
(/.f64 z y)
cost-diff0
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 4 binary64) y)
cost-diff0
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
cost-diff0
#s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))))
cost-diff0
(/.f64 #s(literal 4 binary64) y)
cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
cost-diff0
(-.f64 z x)
cost-diff0
(/.f64 (-.f64 z x) y)
cost-diff0
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64)))
Rules
3 462×lower-fma.f32
3 459×lower-fma.f64
1 598×lower-*.f32
1 596×lower-*.f64
674×lower-/.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
034203
045201
177201
2124201
3220201
4430191
5941176
62606176
77145176
08223176
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))
(/.f64 (-.f64 z x) y)
(-.f64 z x)
z
x
y
#s(literal -4 binary64)
#s(literal 2 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
x
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))))
#s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
x
#s(literal 2 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
(/.f64 z y)
z
y
#s(literal -4 binary64)
#s(literal 2 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(/.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
(-.f64 z x)
z
x
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
(/.f64 (-.f64 z x) y)
(-.f64 z x)
z
x
y
#s(literal -4 binary64)
#s(literal 2 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal 4 binary64))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
x
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))))
#s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
x
#s(literal 2 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64))
(/.f64 z y)
z
y
#s(literal -4 binary64)
#s(literal 2 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(/.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
(-.f64 z x)
z
x

localize96.0ms (1.1%)

Memory
3.0MiB live, 159.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal -4 binary64) y)
accuracy0
(-.f64 z x)
accuracy0.2109375
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
accuracy19.746426380411208
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)))
accuracy0
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
accuracy0
(/.f64 z y)
accuracy16.520467082142012
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
accuracy0
(/.f64 #s(literal 4 binary64) y)
accuracy0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))))
accuracy0.0859375
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
accuracy25.626915599407496
#s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
accuracy0
(/.f64 #s(literal 4 binary64) y)
accuracy0.1875
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
accuracy45.08965599064407
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
accuracy0
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))
accuracy0
(-.f64 z x)
accuracy0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64)))
accuracy0.01171875
(/.f64 (-.f64 z x) y)
Samples
67.0ms256×0valid
Compiler

Compiled 154 to 30 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 11.0ms (32.7% of total)
ival-div: 9.0ms (26.7% of total)
ival-sub: 7.0ms (20.8% of total)
ival-add: 7.0ms (20.8% of total)
exact: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series181.0ms (2.1%)

Memory
-1.2MiB live, 34.8MiB allocated
Counts
16 → 468
Calls
Call 1
Inputs
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 z x) y) (patch (/.f64 (-.f64 z x) y) #<representation binary64>) () ())
#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 4 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 4 binary64) y) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 4 binary64) y) (patch (/.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)) (patch (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -4 binary64) y) (patch (/.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())
Outputs
#s(alt (+ 1 (* 4 (/ (- (* 1/4 y) z) y))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (- x z) y)) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ -4 y) (taylor inf y) (#s(alt (/.f64 #s(literal -4 binary64) y) (patch (/.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -4 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -4 binary64) y) (patch (/.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -4 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -4 binary64) y) (patch (/.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -4 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -4 binary64) y) (patch (/.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -4 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -4 binary64) y) (patch (/.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())) ())
Calls

117 calls:

TimeVariablePointExpression
1.0ms
y
@0
(* (/ 4 y) x)
0.0ms
x
@inf
(* (/ 4 y) x)
0.0ms
y
@inf
(* (/ 4 y) x)
0.0ms
y
@-inf
(* (/ 4 y) x)
0.0ms
x
@0
(* (/ 4 y) x)

simplify527.0ms (6%)

Memory
4.1MiB live, 218.2MiB allocated
Algorithm
egg-herbie
Rules
6 663×lower-fma.f64
6 663×lower-fma.f32
1 761×lower-*.f64
1 761×lower-*.f32
814×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01574416
14514326
212763320
336293246
467363202
082762948
Stop Event
iter limit
node limit
Counts
468 → 465
Calls
Call 1
Inputs
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(+ 2 (* 4 (/ x y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(+ 2 (* -4 (/ z y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -4 (/ (- z x) y))
(/ (+ (* -4 (- z x)) (* 2 y)) y)
(/ (+ (* -4 (- z x)) (* 2 y)) y)
(/ (+ (* -4 (- z x)) (* 2 y)) y)
2
(+ 2 (* -4 (/ (- z x) y)))
(+ 2 (* -4 (/ (- z x) y)))
(+ 2 (* -4 (/ (- z x) y)))
2
(+ 2 (* -4 (/ (- z x) y)))
(+ 2 (* -4 (/ (- z x) y)))
(+ 2 (* -4 (/ (- z x) y)))
(* -1 (/ x y))
(+ (* -1 (/ x y)) (/ z y))
(+ (* -1 (/ x y)) (/ z y))
(+ (* -1 (/ x y)) (/ z y))
(/ z y)
(* z (+ (* -1 (/ x (* y z))) (/ 1 y)))
(* z (+ (* -1 (/ x (* y z))) (/ 1 y)))
(* z (+ (* -1 (/ x (* y z))) (/ 1 y)))
(/ z y)
(* -1 (* z (- (/ x (* y z)) (/ 1 y))))
(* -1 (* z (- (/ x (* y z)) (/ 1 y))))
(* -1 (* z (- (/ x (* y z)) (/ 1 y))))
(/ z y)
(+ (* -1 (/ x y)) (/ z y))
(+ (* -1 (/ x y)) (/ z y))
(+ (* -1 (/ x y)) (/ z y))
(* -1 (/ x y))
(* x (- (/ z (* x y)) (/ 1 y)))
(* x (- (/ z (* x y)) (/ 1 y)))
(* x (- (/ z (* x y)) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y))))
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(* -1 x)
(- z x)
(- z x)
(- z x)
z
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
z
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
z
(+ z (* -1 x))
(+ z (* -1 x))
(+ z (* -1 x))
(* -1 x)
(* x (- (/ z x) 1))
(* x (- (/ z x) 1))
(* x (- (/ z x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(+ 2 (* 4 (/ x y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(+ 2 (* -4 (/ z y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -4 (/ (- z x) y))
(/ (+ (* -4 (- z x)) (* 2 y)) y)
(/ (+ (* -4 (- z x)) (* 2 y)) y)
(/ (+ (* -4 (- z x)) (* 2 y)) y)
2
(+ 2 (* -4 (/ (- z x) y)))
(+ 2 (* -4 (/ (- z x) y)))
(+ 2 (* -4 (/ (- z x) y)))
2
(+ 2 (* -4 (/ (- z x) y)))
(+ 2 (* -4 (/ (- z x) y)))
(+ 2 (* -4 (/ (- z x) y)))
(* 4 (/ x y))
(/ (+ (* 2 y) (* 4 x)) y)
(/ (+ (* 2 y) (* 4 x)) y)
(/ (+ (* 2 y) (* 4 x)) y)
2
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
2
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
2
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
2
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(* -4 (/ z y))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -4 (/ z y))
(/ (+ (* -4 z) (* 2 y)) y)
(/ (+ (* -4 z) (* 2 y)) y)
(/ (+ (* -4 z) (* 2 y)) y)
2
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
2
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* 4 (/ x y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* -4 (/ z y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
Outputs
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64))
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(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64))
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* 4 (/ (- x z) y))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 z x) #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 z x) #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 z x) #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1/4 binary64)) z) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) y)) z #s(literal 1 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1/4 binary64)) z) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) y)) z #s(literal 1 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1/4 binary64)) z) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) y)) z #s(literal 1 binary64))
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -4 (/ (- z x) y))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* -4 (/ (- z x) y))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* -4 (/ (- z x) y))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* -4 (/ (- z x) y))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* -4 (/ (- z x) y))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* -4 (/ (- z x) y))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* -4 (/ (- z x) y))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* -4 (/ (- z x) y))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* -4 (/ (- z x) y))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* -4 (/ (- z x) y))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* -4 (/ (- z x) y))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* -4 (/ (- z x) y))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)

rewrite281.0ms (3.2%)

Memory
11.1MiB live, 287.1MiB allocated
Rules
2 496×lower-/.f32
2 492×lower-/.f64
2 250×lower-fma.f32
2 247×lower-fma.f64
2 204×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034177
045175
1194175
21458175
08506165
Stop Event
iter limit
node limit
iter limit
Counts
16 → 512
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))
(/.f64 (-.f64 z x) y)
(-.f64 z x)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 #s(literal 4 binary64) y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))))
#s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
(/.f64 z y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(/.f64 #s(literal -4 binary64) y)
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) (*.f64 #s(literal -4 binary64) (-.f64 z x))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal -2 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (*.f64 (*.f64 (-.f64 z x) (-.f64 z x)) (-.f64 z x)) (*.f64 (*.f64 y y) y)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 z x) y) #s(literal -8 binary64)))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal -2 binary64))))
(*.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (*.f64 (*.f64 (-.f64 z x) (-.f64 z x)) (-.f64 z x)) (*.f64 (*.f64 y y) y)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) (*.f64 #s(literal -4 binary64) (-.f64 z x))) (*.f64 y y)) (*.f64 (/.f64 (-.f64 z x) y) #s(literal -8 binary64))))))
(*.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (*.f64 (*.f64 (-.f64 z x) (-.f64 z x)) (-.f64 z x)) (*.f64 (*.f64 y y) y)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 z x) y) #s(literal -8 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) (*.f64 #s(literal -4 binary64) (-.f64 z x))) (*.f64 y y)) (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) (*.f64 #s(literal -4 binary64) (-.f64 z x))) (*.f64 y y)) (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) (*.f64 #s(literal -4 binary64) (-.f64 z x))) (*.f64 y y)) (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal -2 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) (*.f64 #s(literal -4 binary64) (-.f64 z x))) (*.f64 y y)) (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) (*.f64 #s(literal -4 binary64) (-.f64 z x))) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (*.f64 (*.f64 (-.f64 z x) (-.f64 z x)) (-.f64 z x)) (*.f64 (*.f64 y y) y)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 z x) y) #s(literal -8 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) (*.f64 #s(literal -4 binary64) (-.f64 z x))) (*.f64 y y)) (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal -2 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal -2 binary64)) (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) (*.f64 #s(literal -4 binary64) (-.f64 z x))) (*.f64 y y))) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64) #s(literal -4 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (*.f64 (*.f64 (-.f64 z x) (-.f64 z x)) (-.f64 z x)) (*.f64 (*.f64 y y) y)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) (*.f64 #s(literal -4 binary64) (-.f64 z x))) (*.f64 y y)) (*.f64 (/.f64 (-.f64 z x) y) #s(literal -8 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (*.f64 (*.f64 (-.f64 z x) (-.f64 z x)) (-.f64 z x)) (*.f64 (*.f64 y y) y)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 z x) y) #s(literal -8 binary64))))))
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eval187.0ms (2.1%)

Memory
10.3MiB live, 201.5MiB allocated
Compiler

Compiled 15 450 to 1 382 computations (91.1% saved)

prune348.0ms (3.9%)

Memory
-45.3MiB live, 281.4MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New1 05821 060
Fresh202
Picked145
Done022
Total1 06181 069
Accuracy
100.0%
Counts
1 069 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64)))
74.2%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
98.0%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 z y) (/.f64 x y)) #s(literal -4 binary64) #s(literal 2 binary64)))
29.5%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
43.7%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
68.9%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)))
59.9%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))))
32.7%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
Compiler

Compiled 81 to 54 computations (33.3% saved)

simplify483.0ms (5.5%)

Memory
4.8MiB live, 244.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z y)
cost-diff0
(fma.f64 (-.f64 (/.f64 z y) (/.f64 x y)) #s(literal -4 binary64) #s(literal 2 binary64))
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 z y) (/.f64 x y)) #s(literal -4 binary64) #s(literal 2 binary64)))
cost-diff704
(-.f64 (/.f64 z y) (/.f64 x y))
cost-diff0
(*.f64 x #s(literal 4 binary64))
cost-diff0
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
Rules
4 445×lower-fma.f32
4 444×lower-fma.f64
1 715×lower-*.f32
1 714×lower-*.f64
642×lower-/.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02282
02982
14882
28782
317782
433372
570366
6218066
7680266
0813566
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
(*.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
y
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 z y) (/.f64 x y)) #s(literal -4 binary64) #s(literal 2 binary64)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 x y)) #s(literal -4 binary64) #s(literal 2 binary64))
(-.f64 (/.f64 z y) (/.f64 x y))
(/.f64 z y)
z
y
(/.f64 x y)
x
#s(literal -4 binary64)
#s(literal 2 binary64)
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(*.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
y
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 z y) (/.f64 x y)) #s(literal -4 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 x y)) #s(literal -4 binary64) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(-.f64 (/.f64 z y) (/.f64 x y))
(/.f64 (-.f64 z x) y)
(/.f64 z y)
z
y
(/.f64 x y)
x
#s(literal -4 binary64)
#s(literal 2 binary64)

localize47.0ms (0.5%)

Memory
4.3MiB live, 81.3MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 z y)
accuracy0
(/.f64 x y)
accuracy0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 z y) (/.f64 x y)) #s(literal -4 binary64) #s(literal 2 binary64)))
accuracy1.058591685830206
(-.f64 (/.f64 z y) (/.f64 x y))
accuracy0
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
accuracy0
(*.f64 x #s(literal 4 binary64))
accuracy45.08965599064407
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
Samples
31.0ms256×0valid
Compiler

Compiled 68 to 23 computations (66.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 7.0ms (34.1% of total)
ival-mult: 6.0ms (29.2% of total)
ival-sub: 3.0ms (14.6% of total)
ival-add: 3.0ms (14.6% of total)
exact: 1.0ms (4.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
22.9MiB live, 22.9MiB allocated
Counts
8 → 228
Calls
Call 1
Inputs
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 4 binary64)) (patch (*.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 z y) (/.f64 x y)) (patch (-.f64 (/.f64 z y) (/.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 z y) (/.f64 x y)) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 z y) (/.f64 x y)) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (/.f64 z y) (/.f64 x y)) #s(literal -4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 (/.f64 z y) (/.f64 x y)) #s(literal -4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt (+ 1 (* 4 (/ (- (* 1/4 y) z) y))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (- x z) y)) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ())
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#s(alt (/ z y) (taylor -inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf y) (#s(alt (/.f64 z y) (patch (/.f64 z 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 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

57 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(- (/ z y) (/ x y))
0.0ms
z
@0
(- (/ z y) (/ x y))
0.0ms
y
@-inf
(+ (* (- (/ z y) (/ x y)) -4) 2)
0.0ms
x
@0
(- (/ z y) (/ x y))
0.0ms
x
@-inf
(/ x y)

simplify262.0ms (3%)

Memory
-27.5MiB live, 221.0MiB allocated
Algorithm
egg-herbie
Rules
4 609×lower-fma.f64
4 609×lower-fma.f32
1 602×lower-*.f64
1 602×lower-*.f32
994×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01221803
13531803
29651359
330771347
472681347
081131260
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* -1 (/ x y))
(- (/ z y) (/ x y))
(- (/ z y) (/ x y))
(- (/ z y) (/ x y))
(/ z y)
(* z (+ (* -1 (/ x (* y z))) (/ 1 y)))
(* z (+ (* -1 (/ x (* y z))) (/ 1 y)))
(* z (+ (* -1 (/ x (* y z))) (/ 1 y)))
(/ z y)
(* -1 (* z (- (/ x (* y z)) (/ 1 y))))
(* -1 (* z (- (/ x (* y z)) (/ 1 y))))
(* -1 (* z (- (/ x (* y z)) (/ 1 y))))
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(* -1 (/ (- (* -1 z) (* -1 x)) y))
(* -1 (/ (- (* -1 z) (* -1 x)) y))
(* -1 (/ (- (* -1 z) (* -1 x)) y))
(* -1 (/ (- (* -1 z) (* -1 x)) y))
(/ z y)
(+ (* -1 (/ x y)) (/ z y))
(+ (* -1 (/ x y)) (/ z y))
(+ (* -1 (/ x y)) (/ z y))
(* -1 (/ x y))
(* x (- (/ z (* x y)) (/ 1 y)))
(* x (- (/ z (* x y)) (/ 1 y)))
(* x (- (/ z (* x y)) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y))))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(+ 2 (* 4 (/ x y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -4 (/ (- z x) y))
(/ (+ (* -4 (- z x)) (* 2 y)) y)
(/ (+ (* -4 (- z x)) (* 2 y)) y)
(/ (+ (* -4 (- z x)) (* 2 y)) y)
2
(+ 2 (* -4 (/ (- z x) y)))
(+ 2 (* -4 (/ (- z x) y)))
(+ 2 (* -4 (/ (- z x) y)))
2
(+ 2 (* 4 (/ (- (* -1 z) (* -1 x)) y)))
(+ 2 (* 4 (/ (- (* -1 z) (* -1 x)) y)))
(+ 2 (* 4 (/ (- (* -1 z) (* -1 x)) y)))
(+ 2 (* -4 (/ z y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z 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)
Outputs
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* 4 (/ (- x z) y))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(- (/ z y) (/ x y))
(/.f64 (-.f64 z x) y)
(- (/ z y) (/ x y))
(/.f64 (-.f64 z x) y)
(- (/ z y) (/ x y))
(/.f64 (-.f64 z x) y)
(/ z y)
(/.f64 z y)
(* z (+ (* -1 (/ x (* y z))) (/ 1 y)))
(/.f64 (-.f64 z x) y)
(* z (+ (* -1 (/ x (* y z))) (/ 1 y)))
(/.f64 (-.f64 z x) y)
(* z (+ (* -1 (/ x (* y z))) (/ 1 y)))
(/.f64 (-.f64 z x) y)
(/ z y)
(/.f64 z y)
(* -1 (* z (- (/ x (* y z)) (/ 1 y))))
(/.f64 (-.f64 z x) y)
(* -1 (* z (- (/ x (* y z)) (/ 1 y))))
(/.f64 (-.f64 z x) y)
(* -1 (* z (- (/ x (* y z)) (/ 1 y))))
(/.f64 (-.f64 z x) y)
(/ (- z x) y)
(/.f64 (-.f64 z x) y)
(/ (- z x) y)
(/.f64 (-.f64 z x) y)
(/ (- z x) y)
(/.f64 (-.f64 z x) y)
(/ (- z x) y)
(/.f64 (-.f64 z x) y)
(/ (- z x) y)
(/.f64 (-.f64 z x) y)
(/ (- z x) y)
(/.f64 (-.f64 z x) y)
(/ (- z x) y)
(/.f64 (-.f64 z x) y)
(/ (- z x) y)
(/.f64 (-.f64 z x) y)
(* -1 (/ (- (* -1 z) (* -1 x)) y))
(/.f64 (-.f64 z x) y)
(* -1 (/ (- (* -1 z) (* -1 x)) y))
(/.f64 (-.f64 z x) y)
(* -1 (/ (- (* -1 z) (* -1 x)) y))
(/.f64 (-.f64 z x) y)
(* -1 (/ (- (* -1 z) (* -1 x)) y))
(/.f64 (-.f64 z x) y)
(/ z y)
(/.f64 z y)
(+ (* -1 (/ x y)) (/ z y))
(/.f64 (-.f64 z x) y)
(+ (* -1 (/ x y)) (/ z y))
(/.f64 (-.f64 z x) y)
(+ (* -1 (/ x y)) (/ z y))
(/.f64 (-.f64 z x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x (- (/ z (* x y)) (/ 1 y)))
(/.f64 (-.f64 z x) y)
(* x (- (/ z (* x y)) (/ 1 y)))
(/.f64 (-.f64 z x) y)
(* x (- (/ z (* x y)) (/ 1 y)))
(/.f64 (-.f64 z x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y))))
(/.f64 (-.f64 z x) y)
(* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y))))
(/.f64 (-.f64 z x) y)
(* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y))))
(/.f64 (-.f64 z x) y)
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* 4 (/ (- x z) y))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -4 (/ (- z x) y))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(/ (+ (* -4 (- z x)) (* 2 y)) y)
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
(/ (+ (* -4 (- z x)) (* 2 y)) y)
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
(/ (+ (* -4 (- z x)) (* 2 y)) y)
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
2
#s(literal 2 binary64)
(+ 2 (* -4 (/ (- z x) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* -4 (/ (- z x) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* -4 (/ (- z x) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- (* -1 z) (* -1 x)) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- (* -1 z) (* -1 x)) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- (* -1 z) (* -1 x)) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z 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)

rewrite253.0ms (2.9%)

Memory
35.0MiB live, 305.0MiB allocated
Rules
2 435×lower-/.f32
2 432×lower-/.f64
2 350×lower-*.f32
2 349×lower-*.f64
1 468×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02274
02968
113868
2121668
0830864
Stop Event
iter limit
node limit
iter limit
Counts
8 → 218
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
(*.f64 x #s(literal 4 binary64))
(-.f64 (/.f64 z y) (/.f64 x y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 z y) (/.f64 x y)) #s(literal -4 binary64) #s(literal 2 binary64)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 x y)) #s(literal -4 binary64) #s(literal 2 binary64))
(/.f64 z y)
(/.f64 x y)
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal -4 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
(pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -4 binary64) x))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) x)) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x))))
(/.f64 (*.f64 #s(literal -4 binary64) x) (neg.f64 y))
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 y x)))
(neg.f64 (/.f64 (*.f64 #s(literal -4 binary64) x) y))
(neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 #s(literal -4 binary64) (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x))) #s(literal -1 binary64)))
(*.f64 x #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) x)
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)))
(*.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 z x))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x)) (/.f64 (*.f64 z z) (*.f64 y y)))))
(*.f64 (fma.f64 z y (*.f64 (neg.f64 y) x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) y))
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(-.f64 (/.f64 (/.f64 y x) (*.f64 (/.f64 y z) (/.f64 y x))) (/.f64 (*.f64 (/.f64 y z) #s(literal 1 binary64)) (*.f64 (/.f64 y z) (/.f64 y x))))
(-.f64 (/.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x))) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y)) (fma.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x)) (/.f64 (*.f64 z z) (*.f64 y y)))) (/.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (fma.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x)) (/.f64 (*.f64 z z) (*.f64 y y)))))
(-.f64 (/.f64 (*.f64 z y) (*.f64 y y)) (/.f64 (*.f64 y x) (*.f64 y y)))
(-.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z y))
(+.f64 (/.f64 z y) (/.f64 (neg.f64 x) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal 2 binary64)))
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal -2 binary64))))
(*.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) (/.f64 (-.f64 z x) y)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 z x) y) #s(literal -8 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal -2 binary64))) (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) (/.f64 (-.f64 z x) y)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 z x) y) #s(literal -8 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal -2 binary64))) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64) #s(literal -4 binary64))) (neg.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) (/.f64 (-.f64 z x) y)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64)) (*.f64 (/.f64 (-.f64 z x) y) #s(literal -8 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) (/.f64 (-.f64 z x) y)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 z x) y) #s(literal -8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64) #s(literal -4 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) (/.f64 (-.f64 z x) y)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64)) (*.f64 (/.f64 (-.f64 z x) y) #s(literal -8 binary64)))))
(/.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) (/.f64 (-.f64 z x) y)) #s(literal 8 binary64)) (fma.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 z x) y) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64)) (*.f64 (/.f64 (-.f64 z x) y) #s(literal -8 binary64)))) (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) (/.f64 (-.f64 z x) y)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal 2 binary64))))
(fma.f64 (/.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -4 binary64) (+.f64 z x)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (*.f64 y y)) (+.f64 z x)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (fma.f64 z y (*.f64 (neg.f64 y) x)) y) #s(literal 2 binary64))
(fma.f64 (/.f64 (fma.f64 z y (*.f64 (neg.f64 y) x)) y) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)))) (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)))))
(-.f64 (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (/.f64 (-.f64 z x) y)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal -2 binary64))))
(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 z #s(literal 1 binary64)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y z)))
(/.f64 (neg.f64 z) (neg.f64 y))
(/.f64 z y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 y z))
(neg.f64 (/.f64 (neg.f64 z) y))
(neg.f64 (/.f64 z (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 z (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 x #s(literal 1 binary64)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(neg.f64 (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))

eval54.0ms (0.6%)

Memory
12.6MiB live, 119.9MiB allocated
Compiler

Compiled 6 975 to 800 computations (88.5% saved)

prune86.0ms (1%)

Memory
-34.1MiB live, 104.7MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New4460446
Fresh000
Picked022
Done066
Total4468454
Accuracy
100.0%
Counts
454 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64)))
74.2%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
98.0%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 z y) (/.f64 x y)) #s(literal -4 binary64) #s(literal 2 binary64)))
29.5%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
43.7%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
68.9%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)))
59.9%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))))
32.7%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
Compiler

Compiled 218 to 98 computations (55% saved)

regimes33.0ms (0.4%)

Memory
-16.9MiB live, 65.0MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 z #s(literal 4 binary64)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 z y) (/.f64 x y)) #s(literal -4 binary64) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) #s(approx (/ (* 4 (- (+ x (* y 1/4)) z)) y) (fma.f64 (/.f64 #s(literal -4 binary64) y) z (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64)))
Calls

5 calls:

10.0ms
x
7.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
5.0ms
y
5.0ms
z
5.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
100.0%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes22.0ms (0.3%)

Memory
12.6MiB live, 49.3MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 z #s(literal 4 binary64)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
Calls

5 calls:

7.0ms
y
4.0ms
x
4.0ms
z
4.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
3.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
99.8%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes21.0ms (0.2%)

Memory
16.7MiB live, 53.2MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 z #s(literal 4 binary64)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y)))
Calls

5 calls:

6.0ms
z
4.0ms
y
4.0ms
x
3.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
92.8%4x
90.8%3y
89.1%3z
99.2%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
99.2%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes18.0ms (0.2%)

Memory
0.2MiB live, 35.0MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
Calls

5 calls:

6.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
3.0ms
x
3.0ms
y
3.0ms
z
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
88.5%3z
74.2%1y
88.4%3x
74.2%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
74.2%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes5.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
Calls

2 calls:

2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
69.6%5x
83.7%3z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes14.0ms (0.2%)

Memory
-21.7MiB live, 24.1MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
Calls

4 calls:

8.0ms
z
2.0ms
y
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
2.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
Results
AccuracySegmentsBranch
63.5%3y
73.4%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
73.4%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
63.0%3z
Compiler

Compiled 38 to 28 computations (26.3% saved)

regimes11.0ms (0.1%)

Memory
-8.8MiB live, 28.7MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
Calls

5 calls:

4.0ms
z
2.0ms
y
1.0ms
x
1.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
1.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
35.0%2z
51.1%3y
51.7%3x
59.2%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
59.2%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes7.0ms (0.1%)

Memory
22.1MiB live, 22.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
Calls

5 calls:

1.0ms
z
1.0ms
y
1.0ms
x
1.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
1.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
32.7%1z
32.7%1y
32.7%1x
32.7%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
32.7%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
75605040505105.52
2216823341021938.0
0.0ms
-168477055.18375933
-15739122.0664181
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch37.0ms (0.4%)

Memory
-14.0MiB live, 61.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
241.7167923499755
512689970850.62036
18.0ms
-2.481042028887979e-64
-3.2191286257141755e-77
Samples
20.0ms304×0valid
Compiler

Compiled 456 to 322 computations (29.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (38% of total)
ival-add: 3.0ms (28.5% of total)
ival-div: 2.0ms (19% of total)
ival-sub: 1.0ms (9.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch157.0ms (1.8%)

Memory
-1.7MiB live, 43.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
143.0ms
241.7167923499755
512689970850.62036
10.0ms
-1.4112163300125168e+104
-3.471055924152953e+102
Samples
145.0ms240×0valid
Compiler

Compiled 371 to 258 computations (30.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (35.7% of total)
ival-div: 2.0ms (23.8% of total)
ival-add: 2.0ms (23.8% of total)
ival-sub: 1.0ms (11.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000069
75605040505105.52
0.0ms
-935765.6276723333
0.8860772077823359
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3285637362511776e+25
2.8988779970894807e+28
0.0ms
-935765.6276723333
0.8860772077823359
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify10.0ms (0.1%)

Memory
15.6MiB live, 15.6MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072465
185465
292465
396465
498465
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -100000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 100000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y)))))
(if (<=.f64 z #s(literal -907809979620559/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) (if (<=.f64 z #s(literal 45000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))))
(if (<=.f64 z #s(literal -11999999999999999227270922773157397385979864492268959973103800899436203985705502042479638521244763029504 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 z #s(literal 500000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -500000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -500000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 40000000000000003623878656 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -100000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 100000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y)))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -100000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))) (if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 100000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)))))
(if (<=.f64 z #s(literal -907809979620559/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) (if (<=.f64 z #s(literal 45000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))))
(if (<=.f64 z #s(literal -11999999999999999227270922773157397385979864492268959973103800899436203985705502042479638521244763029504 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 z #s(literal 500000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (- z x) (/ -4 y)) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -500000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -500000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -500000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 40000000000000003623878656 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -500000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) (if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 40000000000000003623878656 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

soundness961.0ms (10.9%)

Memory
0.3MiB live, 485.3MiB allocated
Rules
5 218×lower-fma.f64
5 218×lower-fma.f32
4 390×lower-fma.f64
4 390×lower-fma.f32
2 538×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01471476
14401413
212121252
347901240
082511105
031174
045174
1200174
21662174
08743161
01914393
15624221
215393351
355953273
083282973
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 352 to 157 computations (55.4% saved)

preprocess70.0ms (0.8%)

Memory
-2.6MiB live, 147.3MiB allocated
Compiler

Compiled 464 to 128 computations (72.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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