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

Time bar (total: 9.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze41.0ms (0.4%)

Memory
-28.7MiB live, 70.3MiB 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)

sample2.1s (21.6%)

Memory
-86.7MiB live, 1 270.8MiB allocated
Samples
1.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 782.0ms
ival-add: 341.0ms (43.6% of total)
ival-mult: 320.0ms (40.9% of total)
ival-div: 64.0ms (8.2% of total)
ival-sub: 38.0ms (4.9% of total)
exact: 10.0ms (1.3% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain152.0ms (1.6%)

Memory
-0.8MiB live, 235.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
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-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)o/n10
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))overflow1
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
51.0ms512×0valid
Compiler

Compiled 128 to 40 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 10.0ms (34.7% of total)
ival-sub: 9.0ms (31.2% of total)
ival-add: 5.0ms (17.4% of total)
ival-div: 4.0ms (13.9% of total)
ival-true: 1.0ms (3.5% of total)
exact: 1.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)

preprocess221.0ms (2.3%)

Memory
35.5MiB live, 387.1MiB allocated
Algorithm
egg-herbie
Rules
7 292×lower-fma.f64
7 292×lower-fma.f32
2 920×lower-/.f32
2 918×lower-/.f64
2 674×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 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #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
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(+.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)

simplify181.0ms (1.9%)

Memory
-25.5MiB live, 301.8MiB 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
7 292×lower-fma.f64
7 292×lower-fma.f32
2 920×lower-/.f32
2 918×lower-/.f64
2 674×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 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #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)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
#s(literal 4 binary64)
(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)
(-.f64 x (fma.f64 y #s(literal -1/4 binary64) z))
(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
(fma.f64 y #s(literal 1/4 binary64) x)
x
(*.f64 y #s(literal 1/4 binary64))
y
#s(literal 1/4 binary64)
z

localize31.0ms (0.3%)

Memory
8.1MiB live, 53.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y #s(literal 1/4 binary64))
accuracy0
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))
accuracy0.015625
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
accuracy0.2669847401541956
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Samples
17.0ms256×0valid
Compiler

Compiled 56 to 14 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (34.1% of total)
ival-div: 2.0ms (22.7% of total)
ival-add: 2.0ms (22.7% of total)
ival-sub: 1.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-21.6MiB live, 16.7MiB allocated
Counts
5 → 144
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 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<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 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) (taylor 0 x) (#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 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) (taylor 0 x) (#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>) () ())) ())
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#s(alt (* 4 (/ x y)) (taylor inf x) (#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 (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) (taylor inf x) (#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 (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) (taylor inf x) (#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>) () ())) ())
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#s(alt (* 4 (/ x y)) (taylor -inf x) (#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>) () ())) ())
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#s(alt (/ (+ y (* 4 (- x z))) y) (taylor 0 y) (#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 (/ (+ y (* 4 (- x z))) y) (taylor 0 y) (#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 (/ (+ y (* 4 (- x z))) y) (taylor 0 y) (#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 1 (taylor inf y) (#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 (+ 1 (* 4 (/ (- x z) y))) (taylor inf y) (#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 (+ 1 (* 4 (/ (- x z) y))) (taylor inf y) (#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 (+ 1 (* 4 (/ (- x z) y))) (taylor inf y) (#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 1 (taylor -inf y) (#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 (+ 1 (* 4 (/ (- x z) y))) (taylor -inf y) (#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 (+ 1 (* 4 (/ (- x z) y))) (taylor -inf y) (#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 (+ 1 (* 4 (/ (- x z) y))) (taylor -inf y) (#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 (* 4 (/ (+ x (* 1/4 y)) y)) (taylor 0 z) (#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 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#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 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#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 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#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 (* -4 (/ z y)) (taylor inf z) (#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 (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) (taylor inf z) (#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 (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) (taylor inf z) (#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 (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) (taylor inf z) (#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 (* -4 (/ z y)) (taylor -inf z) (#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 (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#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 (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#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 (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#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 (* 1/4 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
Calls

36 calls:

TimeVariablePointExpression
2.0ms
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))
1.0ms
x
@-inf
(+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y))
0.0ms
x
@inf
(* 4 (- (+ x (* y 1/4)) z))

simplify320.0ms (3.3%)

Memory
37.0MiB live, 377.9MiB allocated
Algorithm
egg-herbie
Rules
16 484×lower-fma.f64
16 484×lower-fma.f32
5 278×lower-*.f64
5 278×lower-*.f32
2 388×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01201280
13601259
29611020
33605976
08398865
Stop Event
iter limit
node limit
Counts
144 → 139
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)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
Outputs
(* 4 (- (* 1/4 y) z))
(fma.f64 z #s(literal -4 binary64) y)
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* 4 (- x z))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(+ y (* 4 (- x z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(+ y (* 4 (- x z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(+ y (* 4 (- x z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
y
(* y (+ 1 (* 4 (/ (- x z) y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* y (+ 1 (* 4 (/ (- x z) y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* y (+ 1 (* 4 (/ (- x z) y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
y
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* 4 (+ x (* 1/4 y)))
(fma.f64 #s(literal 4 binary64) x y)
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64)))
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64)))
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64)))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64)))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64)))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64)))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* 4 (/ x y))
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* 4 (/ x y))
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) x)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) x)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) x)))
(* 4 (/ (- x z) y))
(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(+ x (* 1/4 y))
(fma.f64 #s(literal 1/4 binary64) y x)
(+ x (* 1/4 y))
(fma.f64 #s(literal 1/4 binary64) y x)
(+ x (* 1/4 y))
(fma.f64 #s(literal 1/4 binary64) y x)
x
(* x (+ 1 (* 1/4 (/ y x))))
(fma.f64 #s(literal 1/4 binary64) y x)
(* x (+ 1 (* 1/4 (/ y x))))
(fma.f64 #s(literal 1/4 binary64) y x)
(* x (+ 1 (* 1/4 (/ y x))))
(fma.f64 #s(literal 1/4 binary64) y x)
x
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(fma.f64 #s(literal 1/4 binary64) y x)
x
(+ x (* 1/4 y))
(fma.f64 #s(literal 1/4 binary64) y x)
(+ x (* 1/4 y))
(fma.f64 #s(literal 1/4 binary64) y x)
(+ x (* 1/4 y))
(fma.f64 #s(literal 1/4 binary64) y x)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* y (+ 1/4 (/ x y)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* y (+ 1/4 (/ x y)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* y (+ 1/4 (/ x y)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* 4 (/ (- (* 1/4 y) z) y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* 4 (/ x y))
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* 4 (/ x y))
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* 4 (/ (- x z) y))
(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
(/ (+ y (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) y) y)
(/ (+ y (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) y) y)
(/ (+ y (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) y) y)
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* 4 (/ (+ x (* 1/4 y)) y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)

rewrite272.0ms (2.8%)

Memory
-17.5MiB live, 373.8MiB allocated
Rules
6 902×lower-fma.f64
6 902×lower-fma.f32
5 372×lower-*.f32
5 368×lower-*.f64
3 676×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01241
01841
17441
262941
0848036
Stop Event
iter limit
node limit
iter limit
Counts
5 → 335
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 y #s(literal 1/4 binary64))
Outputs
(+.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 1/4 binary64)) z)))
(+.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 1/4 binary64)) z)) (*.f64 #s(literal 4 binary64) x))
(+.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)))
(+.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) #s(literal 4 binary64)))
(+.f64 (*.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) #s(literal 4 binary64)) (*.f64 x #s(literal 4 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (*.f64 #s(literal -4 binary64) z))
(+.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (*.f64 (neg.f64 z) #s(literal 4 binary64)))
(+.f64 (*.f64 (neg.f64 z) #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 1/4 binary64)) z))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) z)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y #s(literal 1/4 binary64))) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 1/4 binary64)) z)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) #s(literal 4 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64)))
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(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 z (*.f64 z z))) #s(literal 4 binary64))) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) #s(literal 4 binary64))) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))
(/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 4 binary64) y)) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))))
(/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 4 binary64) y)) (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) (fma.f64 y #s(literal 1/4 binary64) x)))))
(/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) (/.f64 #s(literal 4 binary64) y)) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 4 binary64) y)) (neg.f64 (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)))))
(/.f64 (*.f64 (*.f64 (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (neg.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))) (/.f64 #s(literal 4 binary64) y)) (fma.f64 y #s(literal -1/4 binary64) (neg.f64 (+.f64 x z))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) (-.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) x))) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (/.f64 #s(literal 4 binary64) y)) (fma.f64 x x (*.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) (-.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) x))))
(/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (-.f64 x (-.f64 (*.f64 y #s(literal 1/4 binary64)) z))) (/.f64 #s(literal 4 binary64) y)) (-.f64 x (-.f64 (*.f64 y #s(literal 1/4 binary64)) z)))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))) (/.f64 #s(literal 1 binary64) y)) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 z (*.f64 z z))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))))
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))
(pow.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) y))
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) y) #s(literal 1 binary64)))
(*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (/.f64 #s(literal 4 binary64) y))
(*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))
(*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (*.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)))
(*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (/.f64 #s(literal 4 binary64) y)))
(*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)))) (/.f64 #s(literal 4 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) (/.f64 #s(literal 4 binary64) y)))
(*.f64 (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) y) #s(literal 4 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)) y))
(*.f64 (neg.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) y))
(*.f64 #s(literal -4 binary64) (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))
(*.f64 (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y))
(*.f64 (pow.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))
(/.f64 y #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
(/.f64 (neg.f64 y) #s(literal -4 binary64))
(*.f64 y #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)

eval60.0ms (0.6%)

Memory
38.7MiB live, 112.0MiB allocated
Compiler

Compiled 12 519 to 1 390 computations (88.9% saved)

prune81.0ms (0.8%)

Memory
-39.0MiB live, 149.6MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4668474
Fresh000
Picked101
Done000
Total4678475
Accuracy
100.0%
Counts
475 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))))
99.8%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
65.2%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
71.7%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
64.3%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))
30.6%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))
37.5%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))
36.0%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
Compiler

Compiled 162 to 112 computations (30.9% saved)

simplify527.0ms (5.4%)

Memory
-9.1MiB live, 303.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)
cost-diff0
(/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))
cost-diff192
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))))
cost-diff704
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))
cost-diff0
(/.f64 x y)
cost-diff0
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
cost-diff0
(*.f64 #s(literal 1/4 binary64) y)
cost-diff0
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
cost-diff0
(/.f64 #s(literal 4 binary64) y)
cost-diff0
(-.f64 x z)
cost-diff0
(fma.f64 (-.f64 x z) (/.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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
Rules
16 068×lower-fma.f32
16 062×lower-fma.f64
3 258×lower-*.f32
3 256×lower-*.f64
1 806×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029166
043166
173166
2125166
3265159
4427141
51208141
64289141
08168140
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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(-.f64 x z)
x
z
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
#s(literal 2 binary64)
#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 x (*.f64 #s(literal 1/4 binary64) y)))
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
x
(*.f64 #s(literal 1/4 binary64) y)
#s(literal 1/4 binary64)
y
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
#s(literal 4 binary64)
(/.f64 x y)
x
y
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))))
#s(literal 1 binary64)
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))
#s(literal 4 binary64)
(/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))
y
(-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)
(fma.f64 y #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
z
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64))
(-.f64 x z)
x
z
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
#s(literal 2 binary64)
#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 x (*.f64 #s(literal 1/4 binary64) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
(/.f64 x (*.f64 y #s(literal 1/4 binary64)))
x
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 y #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
y
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
#s(literal 4 binary64)
(/.f64 x y)
x
y
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 1 binary64))
#s(literal 4 binary64)
(/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))
(/.f64 y (-.f64 x (fma.f64 y #s(literal -1/4 binary64) z)))
y
(-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)
(-.f64 x (fma.f64 y #s(literal -1/4 binary64) z))
(fma.f64 y #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
z

localize100.0ms (1%)

Memory
-0.4MiB live, 82.6MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)
accuracy0.015625
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))))
accuracy0.0234375
(/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))
accuracy0.15234375
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))
accuracy0
(/.f64 x y)
accuracy0.00390625
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
accuracy22.242686707977953
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
accuracy0
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
accuracy0
(*.f64 #s(literal 1/4 binary64) y)
accuracy44.43012747352721
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))
accuracy40.975711919817506
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
accuracy0
(/.f64 #s(literal 4 binary64) y)
accuracy0
(-.f64 x z)
accuracy0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
accuracy0.12890625
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
Samples
69.0ms256×0valid
Compiler

Compiled 151 to 29 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-add: 33.0ms (60.7% of total)
ival-div: 10.0ms (18.4% of total)
ival-mult: 8.0ms (14.7% of total)
ival-sub: 3.0ms (5.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series46.0ms (0.5%)

Memory
-2.8MiB live, 33.8MiB allocated
Counts
15 → 444
Calls
Call 1
Inputs
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x z) (patch (-.f64 x z) #<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(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 x (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 #s(literal 1/4 binary64) y)) (patch (/.f64 x (*.f64 #s(literal 1/4 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/4 binary64) y) (patch (*.f64 #s(literal 1/4 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) (patch (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))) (patch (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))) #<representation binary64>) () ())
#s(alt (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (patch (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #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 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -4 (/ z y))) (taylor 0 x) (#s(alt (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) (taylor 0 x) (#s(alt (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) (taylor 0 x) (#s(alt (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) (taylor 0 x) (#s(alt (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor inf x) (#s(alt (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) z)) (* y (+ x (* 1/4 y)))) z))) z)) (taylor -inf z) (#s(alt (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (patch (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 1/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 1/4 y)) 2)))) z)) (* y (+ x (* 1/4 y)))) z))) z)) (taylor -inf z) (#s(alt (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (patch (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (- x z) (taylor 0 y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor inf y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1/4 (/ x y)) (/ z y))) (taylor inf y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1/4 (/ x y)) (/ z y))) (taylor inf y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1/4 (/ x y)) (/ z y))) (taylor inf y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor -inf y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1/4))) (taylor -inf y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1/4))) (taylor -inf y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1/4))) (taylor -inf y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (- (* 1/4 y) z) (taylor 0 x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/4 (/ y x))) (/ z x))) (taylor inf x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/4 (/ y x))) (/ z x))) (taylor inf x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/4 (/ y x))) (/ z x))) (taylor inf x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/4 y)) (taylor 0 z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* 1/4 y))) (taylor 0 z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* 1/4 y))) (taylor 0 z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* 1/4 y))) (taylor 0 z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) (taylor inf z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) (taylor inf z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) (taylor inf z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) (taylor -inf z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) (taylor -inf z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) (taylor -inf z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ())
Calls

111 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(+ (* 4 (/ x y)) 2)
1.0ms
y
@0
(/ x (* 1/4 y))
1.0ms
x
@0
(/ y (- (+ (* y 1/4) x) z))
1.0ms
x
@0
(+ (* (- x z) (/ 4 y)) 2)
1.0ms
x
@inf
(/ x (* 1/4 y))

simplify399.0ms (4.1%)

Memory
28.5MiB live, 343.8MiB allocated
Algorithm
egg-herbie
Rules
11 266×lower-fma.f64
11 266×lower-fma.f32
5 704×lower-*.f64
5 704×lower-*.f32
3 576×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03524960
110424866
230144318
083543982
Stop Event
iter limit
node limit
Counts
444 → 439
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 (/ 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)))))
(+ 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 (/ (- 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 z)
(- x z)
(- x z)
(- x z)
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(/ 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)))))
(+ 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))
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 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
(+ 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))))
(* 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)))
(/ 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)
(* 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 (/ (- (* 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 (* 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)))))
(* 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 (/ (- (* 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)))))
(+ 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)))))
(/ y (- x z))
(* y (+ (* -1/4 (/ y (pow (- x z) 2))) (/ 1 (- x z))))
(* y (+ (* y (- (* 1/16 (/ y (pow (- x z) 3))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))
(* y (+ (* y (- (* y (+ (* -1/64 (/ y (pow (- x z) 4))) (* 1/16 (/ 1 (pow (- x z) 3))))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))
4
(+ 4 (* -16 (/ (- x z) y)))
(- (+ 4 (* 64 (/ (pow (- x z) 2) (pow y 2)))) (* 16 (/ (- x z) y)))
(- (+ 4 (* -256 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64 (/ (pow (- x z) 2) (pow y 2))) (* 16 (/ (- x z) y))))
4
(+ 4 (* -16 (/ (- x z) y)))
(+ 4 (* -1 (/ (- (* -64 (/ (pow (- x z) 2) y)) (* -16 (- x z))) y)))
(+ 4 (* -1 (/ (- (* -1 (/ (- (* -256 (/ (pow (- x z) 3) y)) (* -64 (pow (- x z) 2))) y)) (* -16 (- x z))) y)))
(/ y (- (* 1/4 y) z))
(+ (* -1 (/ (* x y) (pow (- (* 1/4 y) z) 2))) (/ y (- (* 1/4 y) z)))
(+ (* x (- (/ (* x y) (pow (- (* 1/4 y) z) 3)) (/ y (pow (- (* 1/4 y) z) 2)))) (/ y (- (* 1/4 y) z)))
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- (* 1/4 y) z) 4))) (* -1 (/ y (pow (- (* 1/4 y) z) 3))))) (/ y (pow (- (* 1/4 y) z) 2)))) (/ y (- (* 1/4 y) z)))
(/ y x)
(/ (+ y (* -1 (/ (* y (- (* 1/4 y) z)) x))) x)
(/ (- (+ y (/ (* y (pow (- (* 1/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 1/4 y) z)) x)) x)
(/ (- (+ y (* -1 (/ (* y (pow (- (* 1/4 y) z) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- (* 1/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 1/4 y) z)) x))) x)
(/ y x)
(* -1 (/ (+ (* -1 y) (/ (* y (- (* 1/4 y) z)) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 1/4 y) z) 2)) x) (* y (- (* 1/4 y) z))) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 1/4 y) z) 3)) x) (* y (pow (- (* 1/4 y) z) 2))) x)) (* y (- (* 1/4 y) z))) x))) x))
(/ y (+ x (* 1/4 y)))
(+ (/ y (+ x (* 1/4 y))) (/ (* y z) (pow (+ x (* 1/4 y)) 2)))
(+ (* z (- (/ (* y z) (pow (+ x (* 1/4 y)) 3)) (* -1 (/ y (pow (+ x (* 1/4 y)) 2))))) (/ y (+ x (* 1/4 y))))
(+ (* z (- (* z (- (/ (* y z) (pow (+ x (* 1/4 y)) 4)) (* -1 (/ y (pow (+ x (* 1/4 y)) 3))))) (* -1 (/ y (pow (+ x (* 1/4 y)) 2))))) (/ y (+ x (* 1/4 y))))
(* -1 (/ y z))
(/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 1/4 y))) z))) z)
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 1/4 y))) z)) z)
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 1/4 y))) z) (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) z)
(* -1 (/ y z))
(* -1 (/ (+ y (/ (* y (+ x (* 1/4 y))) z)) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) z)) (* y (+ x (* 1/4 y)))) z))) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 1/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 1/4 y)) 2)))) z)) (* y (+ x (* 1/4 y)))) z))) z))
(- 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)))
(- (* 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 (* 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
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) x) x (/.f64 x y)) #s(literal 1 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) x) x (/.f64 x y)) #s(literal 1 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) x) x (/.f64 x y)) #s(literal 1 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) y)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) y)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) y)))
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(* -4 (/ z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 x y)) z) (/.f64 #s(literal -4 binary64) y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 x y)) z) (/.f64 #s(literal -4 binary64) y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 x y)) z) (/.f64 #s(literal -4 binary64) y))))
(* -4 (/ z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)) z)) (neg.f64 z))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)) z)) (neg.f64 z))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)) z)) (neg.f64 z))
(+ 2 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 1 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 1 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 1 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) y)))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) y)))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) y)))
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(*.f64 z (+.f64 (/.f64 #s(literal 2 binary64) z) (*.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 x z)))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(*.f64 z (+.f64 (/.f64 #s(literal 2 binary64) z) (*.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 x z)))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(*.f64 z (+.f64 (/.f64 #s(literal 2 binary64) z) (*.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 x z)))))
(* -4 (/ z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)) z)) (neg.f64 z))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)) z)) (neg.f64 z))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)) z)) (neg.f64 z))
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
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(- (+ 4 (* -256 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64 (/ (pow (- x z) 2) (pow y 2))) (* 16 (/ (- x z) y))))
(+.f64 #s(literal 4 binary64) (fma.f64 #s(literal -256 binary64) (/.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))) (*.f64 y (*.f64 y y))) (/.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 (-.f64 x z) (-.f64 x z)) y) (*.f64 (-.f64 x z) #s(literal -16 binary64))) y)))
4
#s(literal 4 binary64)
(+ 4 (* -16 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal -16 binary64) y) #s(literal 4 binary64))
(+ 4 (* -1 (/ (- (* -64 (/ (pow (- x z) 2) y)) (* -16 (- x z))) y)))
(+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 (-.f64 x z) (-.f64 x z)) y) (*.f64 (-.f64 x z) #s(literal -16 binary64))) y))
(+ 4 (* -1 (/ (- (* -1 (/ (- (* -256 (/ (pow (- x z) 3) y)) (* -64 (pow (- x z) 2))) y)) (* -16 (- x z))) y)))
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -256 binary64) (/.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))) y) (*.f64 (*.f64 (-.f64 x z) (-.f64 x z)) #s(literal 64 binary64))) y) (*.f64 (-.f64 x z) #s(literal -16 binary64))) y))
(/ y (- (* 1/4 y) z))
(/.f64 y (-.f64 (*.f64 #s(literal 1/4 binary64) y) z))
(+ (* -1 (/ (* x y) (pow (- (* 1/4 y) z) 2))) (/ y (- (* 1/4 y) z)))
(fma.f64 (/.f64 y (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (-.f64 (*.f64 #s(literal 1/4 binary64) y) z))) (neg.f64 x) (/.f64 y (-.f64 (*.f64 #s(literal 1/4 binary64) y) z)))
(+ (* x (- (/ (* x y) (pow (- (* 1/4 y) z) 3)) (/ y (pow (- (* 1/4 y) z) 2)))) (/ y (- (* 1/4 y) z)))
(fma.f64 x (*.f64 (/.f64 y (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (-.f64 (*.f64 #s(literal 1/4 binary64) y) z))) (+.f64 (/.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) y) z)) #s(literal -1 binary64))) (/.f64 y (-.f64 (*.f64 #s(literal 1/4 binary64) y) z)))
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- (* 1/4 y) z) 4))) (* -1 (/ y (pow (- (* 1/4 y) z) 3))))) (/ y (pow (- (* 1/4 y) z) 2)))) (/ y (- (* 1/4 y) z)))
(fma.f64 x (fma.f64 x (/.f64 (*.f64 y (neg.f64 x)) (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 4 binary64))) (*.f64 (/.f64 y (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (-.f64 (*.f64 #s(literal 1/4 binary64) y) z))) (+.f64 (/.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) y) z)) #s(literal -1 binary64)))) (/.f64 y (-.f64 (*.f64 #s(literal 1/4 binary64) y) z)))
(/ y x)
(/.f64 y x)
(/ (+ y (* -1 (/ (* y (- (* 1/4 y) z)) x))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (neg.f64 (/.f64 y x)) y) x)
(/ (- (+ y (/ (* y (pow (- (* 1/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 1/4 y) z)) x)) x)
(/.f64 (fma.f64 (/.f64 y x) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x)) (-.f64 (*.f64 #s(literal 1/4 binary64) y) z)) y) x)
(/ (- (+ y (* -1 (/ (* y (pow (- (* 1/4 y) z) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- (* 1/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 1/4 y) z)) x))) x)
(/.f64 (+.f64 y (/.f64 (neg.f64 (fma.f64 y (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (*.f64 y (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x)) (-.f64 (*.f64 #s(literal 1/4 binary64) y) z)))) x))) x)) x)
(/ y x)
(/.f64 y x)
(* -1 (/ (+ (* -1 y) (/ (* y (- (* 1/4 y) z)) x)) x))
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (neg.f64 (/.f64 y x)) y) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 1/4 y) z) 2)) x) (* y (- (* 1/4 y) z))) x))) x))
(/.f64 (fma.f64 (/.f64 y x) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x)) (-.f64 (*.f64 #s(literal 1/4 binary64) y) z)) y) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 1/4 y) z) 3)) x) (* y (pow (- (* 1/4 y) z) 2))) x)) (* y (- (* 1/4 y) z))) x))) x))
(/.f64 (+.f64 y (/.f64 (neg.f64 (fma.f64 y (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (*.f64 y (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x)) (-.f64 (*.f64 #s(literal 1/4 binary64) y) z)))) x))) x)) x)
(/ y (+ x (* 1/4 y)))
(/.f64 y (fma.f64 #s(literal 1/4 binary64) y x))
(+ (/ y (+ x (* 1/4 y))) (/ (* y z) (pow (+ x (* 1/4 y)) 2)))
(*.f64 (+.f64 (/.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal 1/4 binary64) y x)))
(+ (* z (- (/ (* y z) (pow (+ x (* 1/4 y)) 3)) (* -1 (/ y (pow (+ x (* 1/4 y)) 2))))) (/ y (+ x (* 1/4 y))))
(fma.f64 z (*.f64 (/.f64 y (*.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 x)) #s(literal 1 binary64))) (/.f64 y (fma.f64 #s(literal 1/4 binary64) y x)))
(+ (* z (- (* z (- (/ (* y z) (pow (+ x (* 1/4 y)) 4)) (* -1 (/ y (pow (+ x (* 1/4 y)) 3))))) (* -1 (/ y (pow (+ x (* 1/4 y)) 2))))) (/ y (+ x (* 1/4 y))))
(fma.f64 z (fma.f64 z (/.f64 (*.f64 y z) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64))) (*.f64 (/.f64 y (*.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 x)) #s(literal 1 binary64)))) (/.f64 y (fma.f64 #s(literal 1/4 binary64) y x)))
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 1/4 y))) z))) z)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (/.f64 y z) y) (neg.f64 z))
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 1/4 y))) z)) z)
(/.f64 (fma.f64 y (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) y) (neg.f64 z))
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 1/4 y))) z) (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) z)
(/.f64 (fma.f64 y (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) y x))) (*.f64 z (*.f64 z z))) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) (neg.f64 y)) z)
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(* -1 (/ (+ y (/ (* y (+ x (* 1/4 y))) z)) z))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (/.f64 y z) y) (neg.f64 z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) z)) (* y (+ x (* 1/4 y)))) z))) z))
(/.f64 (fma.f64 y (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) y) (neg.f64 z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 1/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 1/4 y)) 2)))) z)) (* y (+ x (* 1/4 y)))) z))) z))
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 y (fma.f64 #s(literal 1/4 binary64) y x) (/.f64 (*.f64 y (fma.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) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))))) z))) z) y) z)
(- x z)
(-.f64 x z)
(- (+ x (* 1/4 y)) z)
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
(- (+ x (* 1/4 y)) z)
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
(- (+ x (* 1/4 y)) z)
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* y (- (+ 1/4 (/ x y)) (/ z y)))
(*.f64 y (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y)))
(* y (- (+ 1/4 (/ x y)) (/ z y)))
(*.f64 y (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y)))
(* y (- (+ 1/4 (/ x y)) (/ z y)))
(*.f64 y (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y)))
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
(neg.f64 (*.f64 y (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 x z) y))))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
(neg.f64 (*.f64 y (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 x z) y))))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
(neg.f64 (*.f64 y (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 x z) y))))
(- (* 1/4 y) z)
(-.f64 (*.f64 #s(literal 1/4 binary64) y) z)
(- (+ x (* 1/4 y)) z)
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
(- (+ x (* 1/4 y)) z)
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
(- (+ x (* 1/4 y)) z)
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
x
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))
(fma.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x) x)
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))
(fma.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x) x)
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))
(fma.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x) x)
x
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x))))
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x))))
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x))))
(+ x (* 1/4 y))
(fma.f64 #s(literal 1/4 binary64) y x)
(+ x (+ (* -1 z) (* 1/4 y)))
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
(+ x (+ (* -1 z) (* 1/4 y)))
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
(+ x (+ (* -1 z) (* 1/4 y)))
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
(* -1 z)
(neg.f64 z)
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(-.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (/.f64 y z) (/.f64 x z))) z)
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(-.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (/.f64 y z) (/.f64 x z))) z)
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(-.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (/.f64 y z) (/.f64 x z))) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))
(-.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) z) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))
(-.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) z) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))
(-.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) z) z)

rewrite699.0ms (7.2%)

Memory
-26.8MiB live, 457.7MiB allocated
Rules
5 518×lower-*.f32
5 516×lower-*.f64
4 226×lower-/.f32
4 216×lower-/.f64
3 052×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029143
043139
1211139
21708133
08319133
Stop Event
iter limit
node limit
iter limit
Counts
15 → 340
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(-.f64 x z)
(/.f64 #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 x (*.f64 #s(literal 1/4 binary64) y)))
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
(*.f64 #s(literal 1/4 binary64) y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))))
(/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))
(-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) #s(literal 2 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))))
(fma.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x z)) #s(literal 2 binary64))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) #s(literal 2 binary64)) y))) (fma.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) #s(literal -4 binary64))))
(/.f64 (fma.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) #s(literal 2 binary64)) y))))
(/.f64 (fma.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) #s(literal 2 binary64))) y)))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) #s(literal -4 binary64)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) #s(literal 2 binary64)) y)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) #s(literal -4 binary64))) (neg.f64 (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y))) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)))
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(/.f64 (fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) #s(literal 4 binary64) (*.f64 (-.f64 x (neg.f64 z)) y)) (*.f64 (-.f64 x (neg.f64 z)) #s(literal 4 binary64)))
(/.f64 (fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) #s(literal -4 binary64) (*.f64 (-.f64 x (neg.f64 z)) (neg.f64 y))) (*.f64 (-.f64 x (neg.f64 z)) #s(literal -4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)))) (*.f64 (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 z (*.f64 z z)))) (*.f64 (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) (*.f64 (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 z z))) (*.f64 (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))))
(pow.f64 (/.f64 (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (-.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 z (*.f64 z z)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)))))
(*.f64 (*.f64 (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))))

eval275.0ms (2.8%)

Memory
9.2MiB live, 242.7MiB allocated
Compiler

Compiled 13 024 to 1 432 computations (89% saved)

prune118.0ms (1.2%)

Memory
-0.0MiB live, 200.5MiB allocated
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New7754779
Fresh033
Picked235
Done000
Total77710787
Accuracy
100.0%
Counts
787 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.3%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))))
65.2%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
99.8%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
71.7%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
64.3%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))
30.6%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))
30.5%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
37.3%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
37.5%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))
36.0%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
Compiler

Compiled 168 to 114 computations (32.1% saved)

simplify235.0ms (2.4%)

Memory
9.5MiB live, 208.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
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 (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (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 #s(literal -4 binary64) y)
cost-diff0
(*.f64 z (/.f64 #s(literal -4 binary64) y))
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
cost-diff0
(/.f64 z y)
cost-diff0
(*.f64 #s(literal -4 binary64) (/.f64 z y))
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))
cost-diff0
(/.f64 z y)
cost-diff0
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
Rules
7 884×lower-fma.f32
7 880×lower-fma.f64
2 800×lower-*.f32
2 794×lower-*.f64
1 224×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027156
035156
158156
287156
3135156
4241146
5495136
61499136
74007136
86782136
08053131
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
#s(literal -4 binary64)
(/.f64 z y)
z
y
#s(literal 2 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
#s(literal -4 binary64)
(/.f64 z y)
z
y
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
z
(/.f64 #s(literal -4 binary64) y)
#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 #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)) (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)
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
#s(literal -4 binary64)
(/.f64 z y)
z
y
#s(literal 2 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 z (*.f64 y #s(literal -1/4 binary64)))
#s(literal -4 binary64)
(/.f64 z y)
z
y
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(/.f64 z (*.f64 y #s(literal -1/4 binary64)))
z
(/.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
#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 x (*.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 x (*.f64 y #s(literal 1/4 binary64)))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
x
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (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 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
x
#s(literal 2 binary64)

localize78.0ms (0.8%)

Memory
-12.2MiB live, 109.1MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal 4 binary64) y)
accuracy0.0859375
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
accuracy22.242686707977953
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
accuracy0
(/.f64 #s(literal 4 binary64) y)
accuracy0.19921875
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
accuracy44.43012747352721
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
accuracy0
(/.f64 #s(literal -4 binary64) y)
accuracy0.1640625
(*.f64 z (/.f64 #s(literal -4 binary64) y))
accuracy40.03134541775761
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
accuracy0
(/.f64 z y)
accuracy0.00390625
(*.f64 #s(literal -4 binary64) (/.f64 z y))
accuracy40.03134541775761
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))
accuracy0
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
accuracy0
(/.f64 z y)
accuracy18.110719355828984
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
Samples
42.0ms256×0valid
Compiler

Compiled 128 to 24 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 10.0ms (42.9% of total)
ival-div: 7.0ms (30% of total)
ival-add: 5.0ms (21.4% of total)
ival-sub: 1.0ms (4.3% of total)
exact: 1.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
15.7MiB live, 15.7MiB allocated
Counts
13 → 348
Calls
Call 1
Inputs
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (patch (fma.f64 #s(literal -4 binary64) (/.f64 z y) #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 #s(literal -4 binary64) (/.f64 z y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -4 binary64) (/.f64 z y)) (patch (*.f64 #s(literal -4 binary64) (/.f64 z y)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y))) #<representation binary64>) () ())
#s(alt (*.f64 z (/.f64 #s(literal -4 binary64) y)) (patch (*.f64 z (/.f64 #s(literal -4 binary64) y)) #<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)) (*.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)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (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>) () ())
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 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #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 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #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 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #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 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #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 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #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 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #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 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #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 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #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 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #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 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #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 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #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 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#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 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #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 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #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 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #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 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #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 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #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 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #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 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #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 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #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 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #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 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #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 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #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 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #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 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #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 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor 0 y) (#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 (/ (+ (* 2 y) (* 4 x)) y) (taylor 0 y) (#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 (/ (+ (* 2 y) (* 4 x)) y) (taylor 0 y) (#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 (/ (+ (* 2 y) (* 4 x)) y) (taylor 0 y) (#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 2 (taylor inf y) (#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 (+ 2 (* 4 (/ x y))) (taylor inf y) (#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 (+ 2 (* 4 (/ x y))) (taylor inf y) (#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 (+ 2 (* 4 (/ x y))) (taylor inf y) (#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 2 (taylor -inf y) (#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 (+ 2 (* 4 (/ x y))) (taylor -inf y) (#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 (+ 2 (* 4 (/ x y))) (taylor -inf y) (#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 (+ 2 (* 4 (/ x y))) (taylor -inf y) (#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 2 (taylor 0 x) (#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 (+ 2 (* 4 (/ x y))) (taylor 0 x) (#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 (+ 2 (* 4 (/ x y))) (taylor 0 x) (#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 (+ 2 (* 4 (/ x y))) (taylor 0 x) (#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 (* 4 (/ x y)) (taylor inf x) (#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 (* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) (taylor inf x) (#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 (* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) (taylor inf x) (#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 (* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) (taylor inf x) (#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 (* 4 (/ x y)) (taylor -inf x) (#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 (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) (taylor -inf x) (#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 (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) (taylor -inf x) (#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 (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) (taylor -inf x) (#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>) () ())) ())
Calls

87 calls:

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

simplify196.0ms (2%)

Memory
18.9MiB live, 331.0MiB allocated
Algorithm
egg-herbie
Rules
7 662×lower-fma.f64
7 662×lower-fma.f32
2 580×lower-*.f64
2 580×lower-*.f32
1 970×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0853084
12223084
25282524
312732274
430732274
573002274
080402093
Stop Event
iter limit
node limit
Counts
348 → 348
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
(+ 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 y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ 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 y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z 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)))))
(* 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)))))
(* 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))))
Outputs
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #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 x z) #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 x z) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #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 x z) #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 x z) #s(literal 2 binary64))
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x y) y))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #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 x z) #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 x z) #s(literal 2 binary64))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #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 x z) #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 x z) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(/ (+ (* -4 z) (* 2 y)) y)
(/.f64 (fma.f64 y #s(literal 2 binary64) (*.f64 z #s(literal -4 binary64))) y)
(/ (+ (* -4 z) (* 2 y)) y)
(/.f64 (fma.f64 y #s(literal 2 binary64) (*.f64 z #s(literal -4 binary64))) y)
(/ (+ (* -4 z) (* 2 y)) y)
(/.f64 (fma.f64 y #s(literal 2 binary64) (*.f64 z #s(literal -4 binary64))) y)
2
#s(literal 2 binary64)
(+ 2 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #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 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #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 x z) #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 x z) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #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 x z) #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 x z) #s(literal 2 binary64))
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x y) y))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #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 x z) #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 x z) #s(literal 2 binary64))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #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 x z) #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 x z) #s(literal 2 binary64))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
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(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))

rewrite430.0ms (4.4%)

Memory
-20.8MiB live, 393.9MiB allocated
Rules
5 226×lower-fma.f32
5 222×lower-fma.f64
4 034×lower-*.f32
4 028×lower-*.f64
3 786×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027133
035133
1139133
21026133
08497123
Stop Event
iter limit
node limit
iter limit
Counts
13 → 219
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(/.f64 z y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(/.f64 #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 #s(literal 4 binary64) y) x)
(/.f64 #s(literal 4 binary64) y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (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))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(+.f64 (/.f64 z (*.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64))
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (/.f64 z (*.f64 y #s(literal 1/4 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (+.f64 #s(literal 2 binary64) (/.f64 z (*.f64 y #s(literal 1/4 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 z (neg.f64 y)) #s(literal 2 binary64))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #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))
(fma.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z #s(literal -1/4 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 z #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(fma.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(neg.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 z y) #s(literal 8 binary64)))))))
(neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 z y) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 z y) #s(literal 8 binary64))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y))) #s(literal 4 binary64)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (*.f64 (/.f64 z y) #s(literal 8 binary64)))) (fma.f64 #s(literal -64 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 z (*.f64 y #s(literal 1/4 binary64)))) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)))))
(/.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 z y) #s(literal 8 binary64)))))
(/.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (*.f64 (/.f64 z y) #s(literal 8 binary64)))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) #s(literal -4 binary64)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal 8 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 z y) #s(literal 8 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (*.f64 (/.f64 z y) #s(literal 8 binary64))))))
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y))) #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 z y) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y))) (+.f64 #s(literal 2 binary64) (/.f64 z (*.f64 y #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))) (*.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 z y) #s(literal 8 binary64)))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y))) #s(literal 4 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 z y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 z (*.f64 y #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 z y) #s(literal 8 binary64))))))
(*.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (*.f64 (/.f64 z y) #s(literal 8 binary64))))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 z y) #s(literal 8 binary64)))))))
(*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 z y) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 z (*.f64 y #s(literal 1/4 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 z (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 z (neg.f64 y)))
(neg.f64 (/.f64 z (neg.f64 y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 z y)
(/.f64 (neg.f64 z) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 z)))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 y)))
(*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(neg.f64 (/.f64 z (*.f64 y #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1/4 binary64)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) #s(literal -4 binary64)))
(/.f64 #s(literal 4 binary64) (/.f64 y (neg.f64 z)))
(/.f64 z (*.f64 y #s(literal -1/4 binary64)))
(/.f64 #s(literal -4 binary64) (/.f64 y z))
(/.f64 (neg.f64 z) (*.f64 y #s(literal 1/4 binary64)))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 z #s(literal -4 binary64)))))
(/.f64 (*.f64 #s(literal 4 binary64) z) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y)
(pow.f64 (/.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 z (neg.f64 y)))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 (/.f64 z y) #s(literal -4 binary64))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z #s(literal -1/4 binary64)))
(*.f64 (*.f64 z #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y))
(*.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(neg.f64 (/.f64 z (*.f64 y #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1/4 binary64)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) #s(literal -4 binary64)))
(/.f64 #s(literal 4 binary64) (/.f64 y (neg.f64 z)))
(/.f64 z (*.f64 y #s(literal -1/4 binary64)))
(/.f64 #s(literal -4 binary64) (/.f64 y z))
(/.f64 (neg.f64 z) (*.f64 y #s(literal 1/4 binary64)))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 z #s(literal -4 binary64)))))
(/.f64 (*.f64 #s(literal 4 binary64) z) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y)
(pow.f64 (/.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 z (neg.f64 y)))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 (/.f64 z y) #s(literal -4 binary64))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z #s(literal -1/4 binary64)))
(*.f64 (*.f64 z #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y))
(*.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) y))
(neg.f64 (/.f64 #s(literal 4 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/4 binary64)))
(/.f64 #s(literal 4 binary64) (neg.f64 y))
(/.f64 #s(literal -4 binary64) y)
(/.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/4 binary64)))
(pow.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -4 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 4 binary64))
(*.f64 (pow.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))
(neg.f64 (/.f64 x (*.f64 y #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 4 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 #s(literal 4 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/4 binary64)) x))
(/.f64 x (*.f64 y #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 #s(literal 4 binary64) x))))
(/.f64 (*.f64 x #s(literal -4 binary64)) (neg.f64 y))
(/.f64 (neg.f64 x) (*.f64 y #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (*.f64 x #s(literal -4 binary64))) y)
(pow.f64 (/.f64 y (*.f64 #s(literal 4 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 4 binary64) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 4 binary64))
(*.f64 (/.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) y))
(neg.f64 (/.f64 #s(literal -4 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/4 binary64)))
(/.f64 #s(literal 4 binary64) y)
(/.f64 #s(literal -4 binary64) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/4 binary64)))
(pow.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64))
(*.f64 (pow.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -1/4 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (+.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -1/4 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(fma.f64 (*.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))
(fma.f64 (/.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) y))))))
(neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) #s(literal -4 binary64)) (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) y)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y))) #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -1/4 binary64)))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -1/4 binary64)))) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) y))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -1/4 binary64)))))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) y)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -1/4 binary64))))))))
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y))) #s(literal 4 binary64)) (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y))) (+.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) y))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y))) #s(literal 4 binary64))) (neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -1/4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) y)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -1/4 binary64))))))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) y))))))
(*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -1/4 binary64))))))

eval208.0ms (2.1%)

Memory
-10.5MiB live, 109.8MiB allocated
Compiler

Compiled 6 540 to 472 computations (92.8% saved)

prune52.0ms (0.5%)

Memory
19.1MiB live, 95.0MiB allocated
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New6360636
Fresh022
Picked055
Done033
Total63610646
Accuracy
100.0%
Counts
646 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.3%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))))
65.2%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
99.8%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
71.7%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
64.3%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))
30.6%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))
30.5%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
37.3%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
37.5%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))
36.0%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
Compiler

Compiled 97 to 66 computations (32% saved)

simplify299.0ms (3.1%)

Memory
-25.0MiB live, 334.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))
cost-diff0
(/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))
cost-diff128
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))))
cost-diff384
(/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))
cost-diff0
(*.f64 #s(literal 1/4 binary64) y)
cost-diff0
(-.f64 x z)
cost-diff0
(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))
Rules
15 236×lower-fma.f64
15 236×lower-fma.f32
3 108×lower-*.f32
3 106×lower-*.f64
2 866×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022102
028102
154102
2100102
3173100
4314100
596398
6433998
0816692
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 z) (*.f64 #s(literal 1/4 binary64) y)))
(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
(-.f64 x z)
x
z
(*.f64 #s(literal 1/4 binary64) y)
#s(literal 1/4 binary64)
y
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))))
#s(literal 1 binary64)
(/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))
#s(literal 4 binary64)
(/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))
y
#s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))
(-.f64 x z)
x
z
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)))
(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(-.f64 x z)
x
z
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 y #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
y
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))))
(fma.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))
(/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (*.f64 y #s(literal 1/4 binary64)))
#s(literal 4 binary64)
(/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))
y
#s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))
(-.f64 x z)
x
z

localize73.0ms (0.7%)

Memory
12.6MiB live, 50.6MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))))
accuracy0.0234375
(/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))
accuracy0.15234375
(/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))
accuracy22.94487114172405
#s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))
accuracy0
(-.f64 x z)
accuracy0
(*.f64 #s(literal 1/4 binary64) y)
accuracy0.015625
(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
accuracy22.860763682971747
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))
Samples
57.0ms256×0valid
Compiler

Compiled 80 to 22 computations (72.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 32.0ms (68.8% of total)
ival-div: 6.0ms (12.9% of total)
ival-add: 4.0ms (8.6% of total)
ival-sub: 3.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
8 → 252
Calls
Call 1
Inputs
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) (patch (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/4 binary64) y) (patch (*.f64 #s(literal 1/4 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) (patch (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))) #<representation binary64>) () ())
#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 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 z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 x) (#s(alt (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) (patch (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (/ z y)) (* 4 (/ x y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) (patch (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (/ z y)) (* 4 (/ x y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) (patch (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (/ z y)) (* 4 (/ x y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) (patch (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor inf x) (#s(alt (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) (patch (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) (patch (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) (patch (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) (patch (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) (patch (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) (patch (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) (patch (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) (patch (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) #<representation binary64>) () ())) ())
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#s(alt (+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- (* 1/4 y) z) 4))) (* -1 (/ y (pow (- (* 1/4 y) z) 3))))) (/ y (pow (- (* 1/4 y) z) 2)))) (/ y (- (* 1/4 y) z))) (taylor 0 x) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 (/ (* y (- (* 1/4 y) z)) x))) x) (taylor inf x) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ y (/ (* y (pow (- (* 1/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 1/4 y) z)) x)) x) (taylor inf x) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ y (* -1 (/ (* y (pow (- (* 1/4 y) z) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- (* 1/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 1/4 y) z)) x))) x) (taylor inf x) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (/ (* y (- (* 1/4 y) z)) x)) x)) (taylor -inf x) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 1/4 y) z) 2)) x) (* y (- (* 1/4 y) z))) x))) x)) (taylor -inf x) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 1/4 y) z) 3)) x) (* y (pow (- (* 1/4 y) z) 2))) x)) (* y (- (* 1/4 y) z))) x))) x)) (taylor -inf x) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ y (+ x (* 1/4 y))) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (+ (/ y (+ x (* 1/4 y))) (/ (* y z) (pow (+ x (* 1/4 y)) 2))) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (/ (* y z) (pow (+ x (* 1/4 y)) 3)) (* -1 (/ y (pow (+ x (* 1/4 y)) 2))))) (/ y (+ x (* 1/4 y)))) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (- (/ (* y z) (pow (+ x (* 1/4 y)) 4)) (* -1 (/ y (pow (+ x (* 1/4 y)) 3))))) (* -1 (/ y (pow (+ x (* 1/4 y)) 2))))) (/ y (+ x (* 1/4 y)))) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y z)) (taylor inf z) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 1/4 y))) z))) z) (taylor inf z) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 1/4 y))) z)) z) (taylor inf z) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 1/4 y))) z) (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) z) (taylor inf z) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y z)) (taylor -inf z) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (/ (* y (+ x (* 1/4 y))) z)) z)) (taylor -inf z) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) z)) (* y (+ x (* 1/4 y)))) z))) z)) (taylor -inf z) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 1/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 1/4 y)) 2)))) z)) (* y (+ x (* 1/4 y)))) z))) z)) (taylor -inf z) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (- x z) (taylor 0 y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor inf y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1/4 (/ x y)) (/ z y))) (taylor inf y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1/4 (/ x y)) (/ z y))) (taylor inf y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1/4 (/ x y)) (/ z y))) (taylor inf y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor -inf y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1/4))) (taylor -inf y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1/4))) (taylor -inf y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1/4))) (taylor -inf y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/4 y) z) (taylor 0 x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/4 (/ y x))) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/4 (/ y x))) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/4 (/ y x))) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/4 y)) (taylor 0 z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* 1/4 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* 1/4 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* 1/4 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) (taylor inf z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) (taylor inf z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) (taylor inf z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) (taylor -inf z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) (taylor -inf z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) (taylor -inf z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
Calls

63 calls:

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

simplify312.0ms (3.2%)

Memory
7.9MiB live, 493.3MiB allocated
Algorithm
egg-herbie
Rules
11 118×lower-fma.f64
11 118×lower-fma.f32
5 912×lower-*.f64
5 912×lower-*.f32
3 498×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03362858
110062800
229342661
083002488
Stop Event
iter limit
node limit
Counts
252 → 247
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 (/ 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 (/ 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 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* -1 z)
(- x z)
(- x z)
(- x z)
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 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 (/ (- (* 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 (* 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)))))
(* 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 (/ (- (* 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)))))
(+ 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)))))
(/ y (- x z))
(* y (+ (* -1/4 (/ y (pow (- x z) 2))) (/ 1 (- x z))))
(* y (+ (* y (- (* 1/16 (/ y (pow (- x z) 3))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))
(* y (+ (* y (- (* y (+ (* -1/64 (/ y (pow (- x z) 4))) (* 1/16 (/ 1 (pow (- x z) 3))))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))
4
(+ 4 (* -16 (/ (- x z) y)))
(- (+ 4 (* 64 (/ (pow (- x z) 2) (pow y 2)))) (* 16 (/ (- x z) y)))
(- (+ 4 (* -256 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64 (/ (pow (- x z) 2) (pow y 2))) (* 16 (/ (- x z) y))))
4
(+ 4 (* -16 (/ (- x z) y)))
(+ 4 (* -1 (/ (- (* -64 (/ (pow (- x z) 2) y)) (* -16 (- x z))) y)))
(+ 4 (* -1 (/ (- (* -1 (/ (- (* -256 (/ (pow (- x z) 3) y)) (* -64 (pow (- x z) 2))) y)) (* -16 (- x z))) y)))
(/ y (- (* 1/4 y) z))
(+ (* -1 (/ (* x y) (pow (- (* 1/4 y) z) 2))) (/ y (- (* 1/4 y) z)))
(+ (* x (- (/ (* x y) (pow (- (* 1/4 y) z) 3)) (/ y (pow (- (* 1/4 y) z) 2)))) (/ y (- (* 1/4 y) z)))
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- (* 1/4 y) z) 4))) (* -1 (/ y (pow (- (* 1/4 y) z) 3))))) (/ y (pow (- (* 1/4 y) z) 2)))) (/ y (- (* 1/4 y) z)))
(/ y x)
(/ (+ y (* -1 (/ (* y (- (* 1/4 y) z)) x))) x)
(/ (- (+ y (/ (* y (pow (- (* 1/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 1/4 y) z)) x)) x)
(/ (- (+ y (* -1 (/ (* y (pow (- (* 1/4 y) z) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- (* 1/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 1/4 y) z)) x))) x)
(/ y x)
(* -1 (/ (+ (* -1 y) (/ (* y (- (* 1/4 y) z)) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 1/4 y) z) 2)) x) (* y (- (* 1/4 y) z))) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 1/4 y) z) 3)) x) (* y (pow (- (* 1/4 y) z) 2))) x)) (* y (- (* 1/4 y) z))) x))) x))
(/ y (+ x (* 1/4 y)))
(+ (/ y (+ x (* 1/4 y))) (/ (* y z) (pow (+ x (* 1/4 y)) 2)))
(+ (* z (- (/ (* y z) (pow (+ x (* 1/4 y)) 3)) (* -1 (/ y (pow (+ x (* 1/4 y)) 2))))) (/ y (+ x (* 1/4 y))))
(+ (* z (- (* z (- (/ (* y z) (pow (+ x (* 1/4 y)) 4)) (* -1 (/ y (pow (+ x (* 1/4 y)) 3))))) (* -1 (/ y (pow (+ x (* 1/4 y)) 2))))) (/ y (+ x (* 1/4 y))))
(* -1 (/ y z))
(/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 1/4 y))) z))) z)
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 1/4 y))) z)) z)
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 1/4 y))) z) (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) z)
(* -1 (/ y z))
(* -1 (/ (+ y (/ (* y (+ x (* 1/4 y))) z)) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) z)) (* y (+ x (* 1/4 y)))) z))) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 1/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 1/4 y)) 2)))) z)) (* y (+ x (* 1/4 y)))) z))) z))
(- 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)))
(- (* 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 (* 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
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 x (+.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) x) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 x (+.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) x) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 x (+.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) x) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64))) x) (/.f64 #s(literal 4 binary64) y)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64))) x) (/.f64 #s(literal 4 binary64) y)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64))) x) (/.f64 #s(literal 4 binary64) y)))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)))
(* -4 (/ z y))
(*.f64 (/.f64 z y) #s(literal -4 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(*.f64 z (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -4 binary64) y)))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(*.f64 z (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -4 binary64) y)))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(*.f64 z (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -4 binary64) y)))
(* -4 (/ z y))
(*.f64 (/.f64 z y) #s(literal -4 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) z)) (neg.f64 z))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) z)) (neg.f64 z))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) z)) (neg.f64 z))
(* -4 (/ z y))
(*.f64 (/.f64 z y) #s(literal -4 binary64))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 z (*.f64 y x)) (/.f64 #s(literal -4 binary64) y)) (neg.f64 x))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 z (*.f64 y x)) (/.f64 #s(literal -4 binary64) y)) (neg.f64 x))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 z (*.f64 y x)) (/.f64 #s(literal -4 binary64) y)) (neg.f64 x))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* -4 (/ z y))
(*.f64 (/.f64 z y) #s(literal -4 binary64))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal -4 binary64) y)))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal -4 binary64) y)))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal -4 binary64) y)))
(* -4 (/ z y))
(*.f64 (/.f64 z y) #s(literal -4 binary64))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal 4 binary64) y)) (neg.f64 z))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal 4 binary64) y)) (neg.f64 z))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal 4 binary64) y)) (neg.f64 z))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* -1 z)
(neg.f64 z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
x
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x (*.f64 (/.f64 z x) x))
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x (*.f64 (/.f64 z x) x))
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x (*.f64 (/.f64 z x) x))
x
(* -1 (* x (- (/ z x) 1)))
(-.f64 x (*.f64 (/.f64 z x) x))
(* -1 (* x (- (/ z x) 1)))
(-.f64 x (*.f64 (/.f64 z x) x))
(* -1 (* x (- (/ z x) 1)))
(-.f64 x (*.f64 (/.f64 z x) x))
x
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(* -1 z)
(neg.f64 z)
(* z (- (/ x z) 1))
(-.f64 (/.f64 (*.f64 z x) z) z)
(* z (- (/ x z) 1))
(-.f64 (/.f64 (*.f64 z x) z) z)
(* z (- (/ x z) 1))
(-.f64 (/.f64 (*.f64 z x) z) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 (/.f64 (*.f64 z x) z) z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 (/.f64 (*.f64 z x) z) z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 (/.f64 (*.f64 z x) z) z)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
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(/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 1/4 y))) z))) z)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (/.f64 y z) y) (neg.f64 z))
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 1/4 y))) z)) z)
(/.f64 (neg.f64 (fma.f64 y (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) y)) z)
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 1/4 y))) z) (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) z)
(/.f64 (fma.f64 y (-.f64 (/.f64 (*.f64 (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))) (neg.f64 (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) (neg.f64 y)) z)
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ (+ y (/ (* y (+ x (* 1/4 y))) z)) z))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (/.f64 y z) y) (neg.f64 z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) z)) (* y (+ x (* 1/4 y)))) z))) z))
(/.f64 (neg.f64 (fma.f64 y (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) y)) z)
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 1/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 1/4 y)) 2)))) z)) (* y (+ x (* 1/4 y)))) z))) z))
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 y (fma.f64 #s(literal 1/4 binary64) y x) (/.f64 (*.f64 y (fma.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 x) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x))) z))) z))) z) y) z)
(- x z)
(-.f64 x z)
(- (+ x (* 1/4 y)) z)
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
(- (+ x (* 1/4 y)) z)
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
(- (+ x (* 1/4 y)) z)
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* y (- (+ 1/4 (/ x y)) (/ z y)))
(*.f64 y (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y)))
(* y (- (+ 1/4 (/ x y)) (/ z y)))
(*.f64 y (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y)))
(* y (- (+ 1/4 (/ x y)) (/ z y)))
(*.f64 y (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y)))
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
(*.f64 (neg.f64 y) (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 x z) y)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
(*.f64 (neg.f64 y) (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 x z) y)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
(*.f64 (neg.f64 y) (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 x z) y)))
(- (* 1/4 y) z)
(-.f64 (*.f64 #s(literal 1/4 binary64) y) z)
(- (+ x (* 1/4 y)) z)
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
(- (+ x (* 1/4 y)) z)
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
(- (+ x (* 1/4 y)) z)
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
x
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))
(fma.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x) x)
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))
(fma.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x) x)
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))
(fma.f64 x (/.f64 (-.f64 (*.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 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x)) (neg.f64 x))
(+ x (* 1/4 y))
(fma.f64 #s(literal 1/4 binary64) y x)
(+ x (+ (* -1 z) (* 1/4 y)))
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
(+ x (+ (* -1 z) (* 1/4 y)))
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
(+ x (+ (* -1 z) (* 1/4 y)))
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
(* -1 z)
(neg.f64 z)
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(fma.f64 z (fma.f64 #s(literal 1/4 binary64) (/.f64 y z) (/.f64 x z)) (neg.f64 z))
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(fma.f64 z (fma.f64 #s(literal 1/4 binary64) (/.f64 y z) (/.f64 x z)) (neg.f64 z))
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(fma.f64 z (fma.f64 #s(literal 1/4 binary64) (/.f64 y z) (/.f64 x z)) (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))
(-.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) z) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))
(-.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) z) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))
(-.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) z) z)

rewrite534.0ms (5.5%)

Memory
-36.5MiB live, 401.4MiB allocated
Rules
5 078×lower-/.f32
5 072×lower-/.f64
4 232×lower-*.f32
4 230×lower-*.f64
3 964×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02290
02890
116190
2129790
0834783
Stop Event
iter limit
node limit
iter limit
Counts
8 → 216
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))
(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
(-.f64 x z)
(*.f64 #s(literal 1/4 binary64) y)
(/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))))
(/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))
#s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (neg.f64 (/.f64 z (*.f64 y #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (-.f64 x z) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 y #s(literal 1/4 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (*.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 z z) (+.f64 x z)) (*.f64 y #s(literal 1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/4 binary64))) (/.f64 (-.f64 x z) (*.f64 y #s(literal -1/4 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 z (+.f64 x z) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (+.f64 x z))) (/.f64 (*.f64 z z) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (+.f64 x z))))
(-.f64 (/.f64 (*.f64 x (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) #s(literal 1/16 binary64))) (/.f64 (*.f64 (*.f64 y #s(literal 1/4 binary64)) z) (*.f64 (*.f64 y y) #s(literal 1/16 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64))) (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 (/.f64 z (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64))) (*.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64))))))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 (/.f64 z (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64))) (*.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64))))))))
(-.f64 (/.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 x (*.f64 y #s(literal 1/4 binary64)))) (fma.f64 x (/.f64 #s(literal 4 binary64) y) (/.f64 z (*.f64 y #s(literal 1/4 binary64))))) (/.f64 (*.f64 (/.f64 z (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64)))) (fma.f64 x (/.f64 #s(literal 4 binary64) y) (/.f64 z (*.f64 y #s(literal 1/4 binary64))))))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) (neg.f64 (/.f64 z (*.f64 y #s(literal 1/4 binary64)))))
(neg.f64 (/.f64 (-.f64 x z) (*.f64 y #s(literal -1/4 binary64))))
(neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 x z) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 (-.f64 x z) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y #s(literal 1/4 binary64)) (+.f64 x z)) (*.f64 (+.f64 x z) (-.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/16 binary64)) (-.f64 (*.f64 x (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y #s(literal 1/4 binary64)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 (/.f64 z (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64))) (*.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64)))))) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64))) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) (/.f64 z (*.f64 y #s(literal 1/4 binary64)))) (-.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 x (*.f64 y #s(literal 1/4 binary64)))) (*.f64 (/.f64 z (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/4 binary64)) (*.f64 (-.f64 x z) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y)))
(/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (-.f64 x z)) (*.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 z (+.f64 x z) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (+.f64 x z)))
(/.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (-.f64 x z) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 x (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y #s(literal 1/4 binary64)) z)) (*.f64 (*.f64 y y) #s(literal 1/16 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) #s(literal 1 binary64)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (*.f64 y #s(literal 1/4 binary64))))
(/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) #s(literal 1 binary64)) (*.f64 (+.f64 x z) (*.f64 y #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x z))) (neg.f64 (*.f64 y #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (neg.f64 (*.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 z (+.f64 x z) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x z) (-.f64 x z))) (neg.f64 (*.f64 (*.f64 y #s(literal 1/4 binary64)) (+.f64 x z))))
(/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64))) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))))) (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 (/.f64 z (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64))) (*.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 x (*.f64 y #s(literal 1/4 binary64)))) (*.f64 (/.f64 z (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64))))) (fma.f64 x (/.f64 #s(literal 4 binary64) y) (/.f64 z (*.f64 y #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (-.f64 x z) #s(literal 1 binary64)) (*.f64 y #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) (fma.f64 z (+.f64 x z) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) (+.f64 x z))
(/.f64 (/.f64 (-.f64 x z) y) #s(literal 1/4 binary64))
(/.f64 (-.f64 (neg.f64 x) (neg.f64 z)) (*.f64 y #s(literal -1/4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/4 binary64)) z)) (*.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) (/.f64 (*.f64 y #s(literal 1/4 binary64)) z)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) z)) (*.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) (*.f64 y #s(literal 1/4 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/4 binary64))) (*.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) (neg.f64 z))) (*.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) (*.f64 y #s(literal -1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) (/.f64 z y))) (*.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) (/.f64 z #s(literal 1/4 binary64)))) (*.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) y))
(/.f64 (-.f64 (*.f64 x (/.f64 (*.f64 y #s(literal 1/4 binary64)) z)) (*.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (/.f64 (*.f64 y #s(literal 1/4 binary64)) z)))
(/.f64 (-.f64 (*.f64 x (*.f64 y #s(literal -1/4 binary64))) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (neg.f64 z))) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (*.f64 y #s(literal -1/4 binary64))))
(/.f64 (-.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (/.f64 z y))) (*.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (/.f64 z #s(literal 1/4 binary64)))) (*.f64 (*.f64 y #s(literal 1/4 binary64)) y))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 y #s(literal 1/4 binary64)) z)) (*.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 y #s(literal -1/4 binary64)) (/.f64 (*.f64 y #s(literal 1/4 binary64)) z)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))) #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) (-.f64 (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) (-.f64 (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))))
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))) (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) (-.f64 (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))) (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) (-.f64 (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) (/.f64 (neg.f64 y) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))
(neg.f64 (/.f64 (neg.f64 y) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (*.f64 y #s(literal 1 binary64))))
(/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))
(/.f64 (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #s(literal 1 binary64))
(/.f64 (neg.f64 y) (neg.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))
(/.f64 (/.f64 (neg.f64 y) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))))
(/.f64 (*.f64 y #s(literal 1 binary64)) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))
(pow.f64 (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))
(*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) y)
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))))
#s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))

eval89.0ms (0.9%)

Memory
23.1MiB live, 97.6MiB allocated
Compiler

Compiled 9 182 to 1 029 computations (88.8% saved)

prune205.0ms (2.1%)

Memory
-14.0MiB live, 111.0MiB allocated
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New5131514
Fresh000
Picked022
Done178
Total51410524
Accuracy
100.0%
Counts
524 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.3%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))))
65.2%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
71.7%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
64.3%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))
30.6%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))
64.1%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
30.5%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
37.3%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
37.5%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))
36.0%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
Compiler

Compiled 206 to 103 computations (50% saved)

regimes24.0ms (0.2%)

Memory
26.4MiB live, 26.4MiB allocated
Counts
14 → 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 #s(literal -4 binary64) (/.f64 z y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
#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 x (*.f64 #s(literal 1/4 binary64) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (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) y) (-.f64 x z)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x 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 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
Calls

5 calls:

5.0ms
y
5.0ms
z
5.0ms
x
4.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
4.0ms
(+.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)

regimes57.0ms (0.6%)

Memory
-12.4MiB live, 25.5MiB 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 #s(literal -4 binary64) (/.f64 z y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
#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 x (*.f64 #s(literal 1/4 binary64) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (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) y) (-.f64 x z)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (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 x z) (*.f64 #s(literal 1/4 binary64) y)))
Calls

5 calls:

41.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
4.0ms
x
4.0ms
y
4.0ms
z
3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
88.8%3x
89.7%3y
92.0%4z
98.7%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
98.7%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
16.4MiB live, 16.4MiB allocated
Counts
9 → 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 #s(literal -4 binary64) (/.f64 z y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
#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 x (*.f64 #s(literal 1/4 binary64) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (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) y) (-.f64 x z)))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (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) y) (-.f64 x z)))
Calls

2 calls:

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
98.5%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
98.5%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes60.0ms (0.6%)

Memory
-16.9MiB live, 20.1MiB allocated
Counts
8 → 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 #s(literal -4 binary64) (/.f64 z y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
#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 x (*.f64 #s(literal 1/4 binary64) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
Calls

3 calls:

53.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
3.0ms
z
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
90.1%3z
71.7%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
71.7%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes8.0ms (0.1%)

Memory
15.2MiB live, 15.2MiB 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 #s(literal -4 binary64) (/.f64 z y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
#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 x (*.f64 #s(literal 1/4 binary64) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))
Calls

3 calls:

3.0ms
y
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
84.1%3x
71.7%1y
71.7%1z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes32.0ms (0.3%)

Memory
-31.1MiB live, 15.1MiB 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 #s(literal -4 binary64) (/.f64 z y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
#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 x (*.f64 #s(literal 1/4 binary64) y)))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 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 #s(literal -4 binary64) (/.f64 z y)))
Calls

5 calls:

22.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
2.0ms
y
2.0ms
x
2.0ms
z
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
60.8%3y
70.5%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
70.5%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
60.9%4z
56.3%4x
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes7.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB 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
y
1.0ms
x
1.0ms
z
1.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
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))
Results
AccuracySegmentsBranch
36.0%1x
36.0%1z
36.0%1y
36.0%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
36.0%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)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.000706930731052
55693.90754315027
0.0ms
-13511.261094719106
-155.1053986616052
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.000706930731052
55693.90754315027
0.0ms
-13511.261094719106
-155.1053986616052
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch34.0ms (0.4%)

Memory
-12.5MiB live, 25.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
377006.3507689372
941278.9548628015
12.0ms
-4.4847518969355765e-8
-2.0546300871529066e-12
Samples
24.0ms208×0valid
Compiler

Compiled 305 to 226 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-add: 14.0ms (73.7% of total)
ival-mult: 3.0ms (15.8% of total)
ival-sub: 1.0ms (5.3% of total)
ival-div: 1.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch94.0ms (1%)

Memory
15.2MiB live, 49.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
78.0ms
1.4713818788170835e+109
2.3714563967632272e+110
14.0ms
-4.961706692039186e+136
-3.387875635018114e+128
Samples
82.0ms256×0valid
Compiler

Compiled 355 to 258 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-sub: 68.0ms (89.9% of total)
ival-mult: 3.0ms (4% of total)
ival-div: 2.0ms (2.6% of total)
ival-add: 2.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.000706930731052
55693.90754315027
0.0ms
-7.659998997898632
0.9743093270717598
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify14.0ms (0.1%)

Memory
-6.2MiB live, 30.0MiB allocated
Algorithm
egg-herbie
Rules
10×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064432
176432
281432
383432
484432
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.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 -10000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (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 x z) (*.f64 #s(literal 1/4 binary64) y)))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -10000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))) (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)) (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) y) (-.f64 x z)))))
(if (<=.f64 z #s(literal -2568967366681087/75557863725914323419136 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (if (<=.f64 z #s(literal 900000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -10200000000000000127112822203894104538366034830625583410684280625086726687499559353026679847047103441689834009748993412312009260662784 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) (if (<=.f64 x #s(literal 174999999999999995780939955913739761463114699410141378380920153916274409375947022649158334448051515768709316608 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -5 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 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 #s(literal -4 binary64) (/.f64 z y)))))
#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 x z) (/.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 -10000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (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 x z) (*.f64 #s(literal 1/4 binary64) y)))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -10000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64)))) (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)) (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 x z) (*.f64 y #s(literal 1/4 binary64))))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -10000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))) (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)) (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) y) (-.f64 x z)))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -10000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 x z) (/.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 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (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 x z) (/.f64 #s(literal 4 binary64) y)))))
(if (<=.f64 z #s(literal -2568967366681087/75557863725914323419136 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (if (<=.f64 z #s(literal 900000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -10200000000000000127112822203894104538366034830625583410684280625086726687499559353026679847047103441689834009748993412312009260662784 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) (if (<=.f64 x #s(literal 174999999999999995780939955913739761463114699410141378380920153916274409375947022649158334448051515768709316608 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))))
(if (<=.f64 x #s(literal -10200000000000000127112822203894104538366034830625583410684280625086726687499559353026679847047103441689834009748993412312009260662784 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 y #s(literal 1/4 binary64)))) (if (<=.f64 x #s(literal 174999999999999995780939955913739761463114699410141378380920153916274409375947022649158334448051515768709316608 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -5 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 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 #s(literal -4 binary64) (/.f64 z y)))))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

soundness959.0ms (9.9%)

Memory
-1.8MiB live, 649.7MiB allocated
Rules
16 484×lower-fma.f64
16 484×lower-fma.f32
5 518×lower-*.f32
5 516×lower-*.f64
5 278×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029143
043139
1211139
21708133
08319133
02290
02890
116190
2129790
0834783
01201280
13601259
29611020
33605976
08398865
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 304 to 117 computations (61.5% saved)

preprocess49.0ms (0.5%)

Memory
-9.5MiB live, 106.7MiB allocated
Compiler

Compiled 460 to 118 computations (74.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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