Diagrams.Backend.Rasterific:rasterificRadialGradient from diagrams-rasterific-1.3.1.3

Time bar (total: 8.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze38.0ms (0.5%)

Memory
34.1MiB live, 73.2MiB 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
0%0%99.9%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
50%49.9%49.9%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
75%74.9%25%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
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample828.0ms (9.7%)

Memory
-1.1MiB live, 1 060.0MiB allocated
Samples
537.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 273.0ms
ival-mult: 91.0ms (33.4% of total)
ival-sub: 66.0ms (24.2% of total)
ival-div: 61.0ms (22.4% of total)
ival-add: 45.0ms (16.5% of total)
ival-true: 6.0ms (2.2% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

explain84.0ms (1%)

Memory
12.7MiB live, 213.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
350-0-(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
00-0-(+.f64 x (*.f64 y (-.f64 z x)))
00-0-y
00-0-(*.f64 y (-.f64 z x))
00-0-(-.f64 z x)
00-0-z
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)o/n350
(+.f64 x (*.f64 y (-.f64 z x)))overflow58
(*.f64 y (-.f64 z x))overflow58
Confusion
Predicted +Predicted -
+350
-0221
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3500
-00221
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0221
135
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
30.0ms512×0valid
Compiler

Compiled 67 to 25 computations (62.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 5.0ms (32.7% of total)
ival-sub: 4.0ms (26.1% of total)
ival-div: 3.0ms (19.6% of total)
ival-add: 2.0ms (13.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess540.0ms (6.3%)

Memory
-26.9MiB live, 262.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03394
18084
219981
372781
4207881
5486281
6628581
7682881
8707381
9712481
10712881
11726281
12759881
13771281
14775881
15777281
16778481
17778681
18778681
079
0119
1159
2269
3509
4869
51359
62399
74849
813269
928499
1037959
1142579
1245209
1346519
1446669
1561689
1666449
1769089
1870509
1971729
2071729
2174499
2275559
2375559
2476959
081438
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Outputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.0%
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify281.0ms (3.3%)

Memory
-1.2MiB live, 152.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 z x)
cost-diff0
(*.f64 y (-.f64 z x))
cost-diff0
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
cost-diff128
(+.f64 x (*.f64 y (-.f64 z x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0727
01127
11527
22627
35027
48627
513527
623927
748427
8132627
9284927
10379527
11425727
12452027
13465127
14466627
15616827
16664427
17690827
18705027
19717227
20717227
21744927
22755527
23755527
24769527
0814325
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(+.f64 x (*.f64 y (-.f64 z x)))
x
(*.f64 y (-.f64 z x))
y
(-.f64 z x)
z
Outputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 (-.f64 z x) y x)
x
(*.f64 y (-.f64 z x))
(*.f64 (-.f64 z x) y)
y
(-.f64 z x)
z

localize19.0ms (0.2%)

Memory
33.3MiB live, 33.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 z x)
accuracy0.00390625
(+.f64 x (*.f64 y (-.f64 z x)))
accuracy0.0078125
(*.f64 y (-.f64 z x))
accuracy8.312990987712444
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Samples
14.0ms256×0valid
Compiler

Compiled 29 to 9 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 2.0ms (30.8% of total)
ival-div: 2.0ms (30.8% of total)
ival-mult: 2.0ms (30.8% of total)
ival-add: 1.0ms (15.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory
-22.8MiB live, 16.5MiB allocated
Counts
4 → 132
Calls
Call 1
Inputs
#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())
#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())
#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())
Outputs
#s(alt (+ x (* -1 (* x y))) (taylor 0 z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (- z x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (- z x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (- z x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) (taylor inf z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) (taylor inf z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) (taylor inf z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt y (taylor inf z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z))) (taylor inf z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z))) (taylor inf z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z))) (taylor inf z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* -1 (/ (* x y) z)))) (taylor inf z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* -1 (/ (* x y) z)))) (taylor inf z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* -1 (/ (* x y) z)))) (taylor inf z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* -1 (/ x z)))) (taylor inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* -1 (/ x z)))) (taylor inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* -1 (/ x z)))) (taylor inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) (taylor -inf z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) (taylor -inf z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) (taylor -inf z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z))) (taylor -inf z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z))) (taylor -inf z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z))) (taylor -inf z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 y) (/ (* x y) z)))) (taylor -inf z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 y) (/ (* x y) z)))) (taylor -inf z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 y) (/ (* x y) z)))) (taylor -inf z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (/ x z) 1))) (taylor -inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (/ x z) 1))) (taylor -inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (/ x z) 1))) (taylor -inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- z x))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- z x))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- z x))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- 1 (/ x z))) (/ x z)) (taylor 0 y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- 1 (/ x z))) (/ x z)) (taylor 0 y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- 1 (/ x z))) (/ x z)) (taylor 0 y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (* y (- z x)) (taylor 0 y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y (- z x)) (taylor 0 y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y (- z x)) (taylor 0 y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y (- z x)) (taylor 0 y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y (- z x)) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ z (/ x y)) x)) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ z (/ x y)) x)) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ z (/ x y)) x)) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (- z x)) z) (taylor inf y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x (* y z))) (/ x z))) (taylor inf y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x (* y z))) (/ x z))) (taylor inf y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x (* y z))) (/ x z))) (taylor inf y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (* y (- z x)) (taylor inf y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y (- z x)) (taylor inf y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y (- z x)) (taylor inf y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y (- z x)) (taylor inf y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y (- z x)) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (- z x)) z) (taylor -inf y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (* y (- z x)) (taylor -inf y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y (- z x)) (taylor -inf y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y (- z x)) (taylor -inf y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y (- z x)) (taylor -inf y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 1 (* -1 y))) (* y z)) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 1 (* -1 y))) (* y z)) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 1 (* -1 y))) (* y z)) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1 x)) (taylor 0 x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1 x)) (taylor 0 x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1 x)) (taylor 0 x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 y))) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 (* -1 y))) z) (taylor inf x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) (taylor inf x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) (taylor inf x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) (taylor inf x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ z x) 1)) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ z x) 1)) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ z x) 1)) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
21.0ms
z
@inf
((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x))
1.0ms
y
@inf
((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x))
1.0ms
z
@-inf
((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x))
1.0ms
x
@inf
((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x))
1.0ms
y
@-inf
((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x))

simplify119.0ms (1.4%)

Memory
27.2MiB live, 143.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01061006
1346742
21046742
33278742
45788742
57697742
08095688
Stop Event
iter limit
node limit
Counts
132 → 125
Calls
Call 1
Inputs
(+ x (* -1 (* x y)))
(+ x (+ (* -1 (* x y)) (* y z)))
(+ x (+ (* -1 (* x y)) (* y z)))
(+ x (+ (* -1 (* x y)) (* y z)))
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(* -1 (* x y))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(* -1 x)
(- z x)
(- z x)
(- z x)
(* y z)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(* y z)
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ y (* -1 (/ (* x y) z))))
z
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(* y z)
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
z
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
x
(+ x (* y (- z x)))
(+ x (* y (- z x)))
(+ x (* y (- z x)))
(/ x z)
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (- 1 (/ x z))) (/ x z))
(* y (- z x))
(* y (- z x))
(* y (- z x))
(* y (- z x))
(* y (- z x))
(* y (- (+ z (/ x y)) x))
(* y (- (+ z (/ x y)) x))
(* y (- (+ z (/ x y)) x))
(/ (* y (- z x)) z)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (- z x))
(* y (- z x))
(* y (- z x))
(* y (- z x))
(* y (- z x))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(/ (* y (- z x)) z)
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* y (- z x))
(* y (- z x))
(* y (- z x))
(* y (- z x))
(* y z)
(+ (* x (+ 1 (* -1 y))) (* y z))
(+ (* x (+ 1 (* -1 y))) (* y z))
(+ (* x (+ 1 (* -1 y))) (* y z))
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(* y z)
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
z
(+ z (* -1 x))
(+ z (* -1 x))
(+ z (* -1 x))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(/ (* x (+ 1 (* -1 y))) z)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (* y z) x)))
(* x (+ (* -1 y) (/ (* y z) x)))
(* x (+ (* -1 y) (/ (* y z) x)))
(* -1 x)
(* x (- (/ z x) 1))
(* x (- (/ z x) 1))
(* x (- (/ z x) 1))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (/ (* x (- y 1)) z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
Outputs
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ x (+ (* -1 (* x y)) (* y z)))
(fma.f64 (-.f64 z x) y x)
(+ x (+ (* -1 (* x y)) (* y z)))
(fma.f64 (-.f64 z x) y x)
(+ x (+ (* -1 (* x y)) (* y z)))
(fma.f64 (-.f64 z x) y x)
(/ (+ x (* -1 (* x y))) z)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(+ (* -1 (* x y)) (* y z))
(*.f64 (-.f64 z x) y)
(+ (* -1 (* x y)) (* y z))
(*.f64 (-.f64 z x) y)
(+ (* -1 (* x y)) (* y z))
(*.f64 (-.f64 z x) y)
(* -1 x)
(neg.f64 x)
(- z x)
(-.f64 z x)
(- z x)
(-.f64 z x)
(- z x)
(-.f64 z x)
(* y z)
(*.f64 z y)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(fma.f64 (-.f64 z x) y x)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(fma.f64 (-.f64 z x) y x)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(fma.f64 (-.f64 z x) y x)
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(* y z)
(*.f64 z y)
(* z (+ y (* -1 (/ (* x y) z))))
(*.f64 (-.f64 z x) y)
(* z (+ y (* -1 (/ (* x y) z))))
(*.f64 (-.f64 z x) y)
(* z (+ y (* -1 (/ (* x y) z))))
(*.f64 (-.f64 z x) y)
z
(* z (+ 1 (* -1 (/ x z))))
(-.f64 z x)
(* z (+ 1 (* -1 (/ x z))))
(-.f64 z x)
(* z (+ 1 (* -1 (/ x z))))
(-.f64 z x)
(* y z)
(*.f64 z y)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(fma.f64 (-.f64 z x) y x)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(fma.f64 (-.f64 z x) y x)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(fma.f64 (-.f64 z x) y x)
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(* y z)
(*.f64 z y)
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(*.f64 (-.f64 z x) y)
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(*.f64 (-.f64 z x) y)
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(*.f64 (-.f64 z x) y)
z
(* -1 (* z (- (/ x z) 1)))
(-.f64 z x)
(* -1 (* z (- (/ x z) 1)))
(-.f64 z x)
(* -1 (* z (- (/ x z) 1)))
(-.f64 z x)
x
(+ x (* y (- z x)))
(fma.f64 (-.f64 z x) y x)
(+ x (* y (- z x)))
(fma.f64 (-.f64 z x) y x)
(+ x (* y (- z x)))
(fma.f64 (-.f64 z x) y x)
(/ x z)
(/.f64 x z)
(+ (* y (- 1 (/ x z))) (/ x z))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(+ (* y (- 1 (/ x z))) (/ x z))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(+ (* y (- 1 (/ x z))) (/ x z))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(* y (- z x))
(*.f64 (-.f64 z x) y)
(* y (- z x))
(*.f64 (-.f64 z x) y)
(* y (- z x))
(*.f64 (-.f64 z x) y)
(* y (- z x))
(*.f64 (-.f64 z x) y)
(* y (- z x))
(*.f64 (-.f64 z x) y)
(* y (- (+ z (/ x y)) x))
(fma.f64 (-.f64 z x) y x)
(* y (- (+ z (/ x y)) x))
(fma.f64 (-.f64 z x) y x)
(* y (- (+ z (/ x y)) x))
(fma.f64 (-.f64 z x) y x)
(/ (* y (- z x)) z)
(/.f64 (*.f64 (-.f64 z x) y) z)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(* y (- z x))
(*.f64 (-.f64 z x) y)
(* y (- z x))
(*.f64 (-.f64 z x) y)
(* y (- z x))
(*.f64 (-.f64 z x) y)
(* y (- z x))
(*.f64 (-.f64 z x) y)
(* y (- z x))
(*.f64 (-.f64 z x) y)
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(fma.f64 (-.f64 z x) y x)
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(fma.f64 (-.f64 z x) y x)
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(fma.f64 (-.f64 z x) y x)
(/ (* y (- z x)) z)
(/.f64 (*.f64 (-.f64 z x) y) z)
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(* y (- z x))
(*.f64 (-.f64 z x) y)
(* y (- z x))
(*.f64 (-.f64 z x) y)
(* y (- z x))
(*.f64 (-.f64 z x) y)
(* y (- z x))
(*.f64 (-.f64 z x) y)
(* y z)
(*.f64 z y)
(+ (* x (+ 1 (* -1 y))) (* y z))
(fma.f64 (-.f64 z x) y x)
(+ (* x (+ 1 (* -1 y))) (* y z))
(fma.f64 (-.f64 z x) y x)
(+ (* x (+ 1 (* -1 y))) (* y z))
(fma.f64 (-.f64 z x) y x)
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(* y z)
(*.f64 z y)
(+ (* -1 (* x y)) (* y z))
(*.f64 (-.f64 z x) y)
(+ (* -1 (* x y)) (* y z))
(*.f64 (-.f64 z x) y)
(+ (* -1 (* x y)) (* y z))
(*.f64 (-.f64 z x) y)
z
(+ z (* -1 x))
(-.f64 z x)
(+ z (* -1 x))
(-.f64 z x)
(+ z (* -1 x))
(-.f64 z x)
(* x (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(fma.f64 (-.f64 z x) y x)
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(fma.f64 (-.f64 z x) y x)
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(fma.f64 (-.f64 z x) y x)
(/ (* x (+ 1 (* -1 y))) z)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (+ (* -1 y) (/ (* y z) x)))
(*.f64 (-.f64 z x) y)
(* x (+ (* -1 y) (/ (* y z) x)))
(*.f64 (-.f64 z x) y)
(* x (+ (* -1 y) (/ (* y z) x)))
(*.f64 (-.f64 z x) y)
(* -1 x)
(neg.f64 x)
(* x (- (/ z x) 1))
(-.f64 z x)
(* x (- (/ z x) 1))
(-.f64 z x)
(* x (- (/ z x) 1))
(-.f64 z x)
(* -1 (* x (- y 1)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(fma.f64 (-.f64 z x) y x)
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(fma.f64 (-.f64 z x) y x)
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(fma.f64 (-.f64 z x) y x)
(* -1 (/ (* x (- y 1)) z))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(*.f64 (-.f64 z x) y)
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(*.f64 (-.f64 z x) y)
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(*.f64 (-.f64 z x) y)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(-.f64 z x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(-.f64 z x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(-.f64 z x)

rewrite196.0ms (2.3%)

Memory
-31.8MiB live, 324.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
01124
14624
235224
3457624
0911522
Stop Event
iter limit
node limit
iter limit
Counts
4 → 373
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (-.f64 z x)))
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(*.f64 y (-.f64 z x))
(-.f64 z x)
Outputs
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eval70.0ms (0.8%)

Memory
13.2MiB live, 132.1MiB allocated
Compiler

Compiled 10 620 to 1 334 computations (87.4% saved)

prune15.0ms (0.2%)

Memory
10.4MiB live, 49.5MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New48810498
Fresh000
Picked101
Done000
Total48910499
Accuracy
100.0%
Counts
499 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.5%
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z)
67.9%
(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z)
58.6%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z)
54.7%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
34.7%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
86.8%
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 z x) y x)))
86.9%
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x)))
97.3%
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))
36.0%
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
54.7%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
Compiler

Compiled 176 to 152 computations (13.6% saved)

simplify195.0ms (2.3%)

Memory
-23.1MiB live, 98.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (-.f64 z x) y x)
cost-diff0
(neg.f64 (fma.f64 (-.f64 z x) y x))
cost-diff0
(/.f64 #s(literal -1 binary64) z)
cost-diff448
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x)))
cost-diff0
(-.f64 z x)
cost-diff0
(*.f64 (-.f64 z x) y)
cost-diff0
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
cost-diff0
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z)
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
cost-diff0
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
cost-diff0
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
cost-diff0
(/.f64 x z)
cost-diff0
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
cost-diff0
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
cost-diff0
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025165
037157
163157
2131157
3420157
41176157
52927157
64902157
75446157
85798157
96040157
106221157
116337157
126409157
136981157
147891157
08049157
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
z
x
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
(/.f64 x z)
x
z
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
z
x
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z)
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
(*.f64 (-.f64 z x) y)
(-.f64 z x)
z
x
y
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x)))
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(neg.f64 (fma.f64 (-.f64 z x) y x))
(fma.f64 (-.f64 z x) y x)
(-.f64 z x)
x
y
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (fma.f64 y (-.f64 z x) x) z))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(/.f64 (fma.f64 y (-.f64 z x) x) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
z
x
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
(/.f64 x z)
x
z
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
z
x
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z)
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 y (-.f64 z x))) z)
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
#s(approx (+ x (* y (- z x))) (*.f64 y (-.f64 z x)))
(*.f64 (-.f64 z x) y)
(*.f64 y (-.f64 z x))
(-.f64 z x)
z
x
y
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x)))
(/.f64 (fma.f64 y (-.f64 z x) x) z)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(neg.f64 (fma.f64 (-.f64 z x) y x))
(neg.f64 (fma.f64 y (-.f64 z x) x))
(fma.f64 (-.f64 z x) y x)
(fma.f64 y (-.f64 z x) x)
(-.f64 z x)
x
y

localize55.0ms (0.6%)

Memory
36.9MiB live, 112.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 z x)
accuracy0
(neg.f64 (fma.f64 (-.f64 z x) y x))
accuracy0.00390625
(fma.f64 (-.f64 z x) y x)
accuracy8.410647237712444
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x)))
accuracy0
(-.f64 z x)
accuracy0.0078125
(*.f64 (-.f64 z x) y)
accuracy8.312990987712444
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z)
accuracy18.92272123907836
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.00390625
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy1.7806447948286033
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
accuracy27.98313840438451
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
accuracy0
(/.f64 x z)
accuracy40.99097896370785
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))
accuracy0.00390625
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy1.7091811665904613
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
Samples
40.0ms256×0valid
Compiler

Compiled 138 to 21 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 7.0ms (29% of total)
ival-add: 6.0ms (24.9% of total)
ival-mult: 6.0ms (24.9% of total)
ival-sub: 3.0ms (12.4% of total)
ival-neg: 1.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series84.0ms (1%)

Memory
-8.8MiB live, 73.0MiB allocated
Counts
16 → 492
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 z x) y) (patch (*.f64 (-.f64 z x) y) #<representation binary64>) () ())
#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())
#s(alt (neg.f64 (fma.f64 (-.f64 z x) y x)) (patch (neg.f64 (fma.f64 (-.f64 z x) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 z x) y x) (patch (fma.f64 (-.f64 z x) y x) #<representation binary64>) () ())
Outputs
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 y) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 y) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 y) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 y) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 z x) y) (patch (*.f64 (-.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (-.f64 z x) y) (patch (*.f64 (-.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (-.f64 z x) y) (patch (*.f64 (-.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (-.f64 z x) y) (patch (*.f64 (-.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (- z x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (- z x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (- z x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ x (* -1 (* x y)))) (taylor 0 z) (#s(alt (neg.f64 (fma.f64 (-.f64 z x) y x)) (patch (neg.f64 (fma.f64 (-.f64 z x) y x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* y z)) (+ x (* -1 (* x y)))) (taylor 0 z) (#s(alt (neg.f64 (fma.f64 (-.f64 z x) y x)) (patch (neg.f64 (fma.f64 (-.f64 z x) y x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* y z)) (+ x (* -1 (* x y)))) (taylor 0 z) (#s(alt (neg.f64 (fma.f64 (-.f64 z x) y x)) (patch (neg.f64 (fma.f64 (-.f64 z x) y x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* y z)) (+ x (* -1 (* x y)))) (taylor 0 z) (#s(alt (neg.f64 (fma.f64 (-.f64 z x) y x)) (patch (neg.f64 (fma.f64 (-.f64 z x) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 z x) y x) (patch (fma.f64 (-.f64 z x) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 z x) y x) (patch (fma.f64 (-.f64 z x) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 z x) y x) (patch (fma.f64 (-.f64 z x) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 z x) y x) (patch (fma.f64 (-.f64 z x) y x) #<representation binary64>) () ())) ())
#s(alt y (taylor inf z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ())) ())
#s(alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z))) (taylor inf z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ())) ())
#s(alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z))) (taylor inf z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ())) ())
#s(alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z))) (taylor inf z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf z) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())) ())
#s(alt (+ y (/ (* x (- 1 y)) z)) (taylor inf z) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())) ())
#s(alt (+ y (/ (* x (- 1 y)) z)) (taylor inf z) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())) ())
#s(alt (+ y (/ (* x (- 1 y)) z)) (taylor inf z) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) #<representation binary64>) () ())) ())
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#s(alt (* x (+ (* -1 y) (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 (-.f64 z x) y) (patch (*.f64 (-.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 (-.f64 z x) y) (patch (*.f64 (-.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ z x) 1)) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ z x) 1)) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ z x) 1)) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 (* -1 y))) z) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor inf x) (#s(alt (neg.f64 (fma.f64 (-.f64 z x) y x)) (patch (neg.f64 (fma.f64 (-.f64 z x) y x)) #<representation binary64>) () ())) ())
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#s(alt (* x (- (* -1 (/ (* y z) x)) (+ 1 (* -1 y)))) (taylor inf x) (#s(alt (neg.f64 (fma.f64 (-.f64 z x) y x)) (patch (neg.f64 (fma.f64 (-.f64 z x) y x)) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (* -1 y))) (taylor inf x) (#s(alt (fma.f64 (-.f64 z x) y x) (patch (fma.f64 (-.f64 z x) y x) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 z x) y x) (patch (fma.f64 (-.f64 z x) y x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 z x) y) (patch (*.f64 (-.f64 z x) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 z x) y) (patch (*.f64 (-.f64 z x) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 y))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (-.f64 z x) y x)) (patch (neg.f64 (fma.f64 (-.f64 z x) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (/ (* y z) x)) y))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (-.f64 z x) y x)) (patch (neg.f64 (fma.f64 (-.f64 z x) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (/ (* y z) x)) y))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (-.f64 z x) y x)) (patch (neg.f64 (fma.f64 (-.f64 z x) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (/ (* y z) x)) y))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (-.f64 z x) y x)) (patch (neg.f64 (fma.f64 (-.f64 z x) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 z x) y x) (patch (fma.f64 (-.f64 z x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 z x) y x) (patch (fma.f64 (-.f64 z x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 z x) y x) (patch (fma.f64 (-.f64 z x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 z x) y x) (patch (fma.f64 (-.f64 z x) y x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
37.0ms
z
@0
((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x) (* (/ -1 z) (neg (+ (* (- z x) y) x))) (/ -1 z) (neg (+ (* (- z x) y) x)) (+ (* (- z x) y) x))
4.0ms
x
@-inf
((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x) (* (/ -1 z) (neg (+ (* (- z x) y) x))) (/ -1 z) (neg (+ (* (- z x) y) x)) (+ (* (- z x) y) x))
2.0ms
z
@-inf
((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x) (* (/ -1 z) (neg (+ (* (- z x) y) x))) (/ -1 z) (neg (+ (* (- z x) y) x)) (+ (* (- z x) y) x))
2.0ms
y
@inf
((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x) (* (/ -1 z) (neg (+ (* (- z x) y) x))) (/ -1 z) (neg (+ (* (- z x) y) x)) (+ (* (- z x) y) x))
2.0ms
z
@inf
((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x) (* (/ -1 z) (neg (+ (* (- z x) y) x))) (/ -1 z) (neg (+ (* (- z x) y) x)) (+ (* (- z x) y) x))

simplify131.0ms (1.5%)

Memory
-35.8MiB live, 147.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01824037
15903143
216953116
345163116
469773116
081822900
Stop Event
iter limit
node limit
Counts
492 → 469
Calls
Call 1
Inputs
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (* x (- 1 y)) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ (- 1 y) z)
(/ (- 1 y) z)
(/ (- 1 y) z)
(/ (- 1 y) z)
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ x z)
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Outputs
(/ (+ x (* -1 (* x y))) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(/ (* x (- 1 y)) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (+ (* x (- 1 y)) (* y z)) z)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(/ (- 1 y) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(/ (- 1 y) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(/ (- 1 y) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(/ (- 1 y) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(/ (+ x (* -1 (* x y))) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (+ x (* -1 (* x y))) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
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(/.f64 (fma.f64 (-.f64 z x) y x) z)
(/ (* x (- 1 y)) z)
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(/ (* x (- 1 y)) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (* x (- 1 y)) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (* x (- 1 y)) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (+ x (* -1 (* x y))) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
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rewrite206.0ms (2.4%)

Memory
16.8MiB live, 299.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025137
037132
1151129
21047129
08436129
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 001
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
(/.f64 x z)
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z)
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
(*.f64 (-.f64 z x) y)
(-.f64 z x)
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x)))
(/.f64 #s(literal -1 binary64) z)
(neg.f64 (fma.f64 (-.f64 z x) y x))
(fma.f64 (-.f64 z x) y x)
Outputs
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval727.0ms (8.5%)

Memory
4.7MiB live, 470.4MiB allocated
Compiler

Compiled 28 956 to 3 519 computations (87.8% saved)

prune429.0ms (5%)

Memory
-21.4MiB live, 143.9MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1 71981 727
Fresh325
Picked415
Done000
Total1 726111 737
Accuracy
100.0%
Counts
1 737 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
26.8%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
34.7%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
69.0%
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y))
78.6%
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
100.0%
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
56.1%
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)))
36.0%
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
71.5%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
26.8%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
35.9%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
Compiler

Compiled 162 to 159 computations (1.9% saved)

simplify313.0ms (3.7%)

Memory
10.9MiB live, 208.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- 1 y) (neg.f64 y))
cost-diff0
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z)
cost-diff0
(fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)
cost-diff0
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y))
cost-diff0
#s(approx (- z x) (neg.f64 x))
cost-diff0
(*.f64 #s(approx (- z x) (neg.f64 x)) y)
cost-diff0
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))
cost-diff0
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
cost-diff0
#s(approx (- 1 y) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
cost-diff0
(fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)
cost-diff0
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
cost-diff0
#s(approx (- 1 y) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
cost-diff0
(*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)
cost-diff0
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 x z)
cost-diff0
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
cost-diff0
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029229
043229
167229
2104229
3181229
4353229
5518229
61021229
72028225
83573225
93809225
103999225
114125225
124143225
134148225
144569225
155087225
165219225
175290225
185304225
195308225
205489225
215920225
226173225
236889225
08043223
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(/.f64 x z)
x
z
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
#s(approx (- 1 y) #s(literal 1 binary64))
#s(literal 1 binary64)
z
x
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
(fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
#s(approx (- 1 y) #s(literal 1 binary64))
#s(literal 1 binary64)
z
x
y
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))
(*.f64 #s(approx (- z x) (neg.f64 x)) y)
#s(approx (- z x) (neg.f64 x))
(neg.f64 x)
x
y
z
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y))
(fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
z
x
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (fma.f64 (-.f64 z x) y x) z))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(/.f64 x z)
x
z
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
#s(approx (- 1 y) #s(literal 1 binary64))
#s(literal 1 binary64)
z
x
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
(fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
#s(approx (- 1 y) #s(literal 1 binary64))
#s(literal 1 binary64)
z
x
y
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))
(*.f64 #s(approx (- z x) (neg.f64 x)) y)
#s(approx (- z x) (neg.f64 x))
(neg.f64 x)
x
y
z
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) y))
(fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)
(fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) y)
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
z
x

localize103.0ms (1.2%)

Memory
-7.3MiB live, 119.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y))
accuracy0.00390625
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z)
accuracy1.7091811665904613
(fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)
accuracy31.211899998254218
#s(approx (- 1 y) (neg.f64 y))
accuracy0.0078125
(*.f64 #s(approx (- z x) (neg.f64 x)) y)
accuracy8.312990987712444
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
accuracy18.92272123907836
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))
accuracy34.11546361548249
#s(approx (- z x) (neg.f64 x))
accuracy0
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
accuracy0.00390625
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
accuracy1.7091811665904613
(fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)
accuracy32.587166336953494
#s(approx (- 1 y) #s(literal 1 binary64))
accuracy0.00390625
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
accuracy1.7806447948286033
(*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)
accuracy27.98313840438451
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
accuracy32.587166336953494
#s(approx (- 1 y) #s(literal 1 binary64))
accuracy0
(/.f64 x z)
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
accuracy0.01953125
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
Samples
88.0ms256×0valid
Compiler

Compiled 147 to 20 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-neg: 8.0ms (30.2% of total)
ival-mult: 6.0ms (22.6% of total)
ival-div: 5.0ms (18.8% of total)
ival-add: 4.0ms (15.1% of total)
ival-sub: 3.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory
14.9MiB live, 54.1MiB allocated
Counts
18 → 528
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) (patch (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) (patch (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) #<representation binary64>) () ())
#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) (patch (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- z x) (neg.f64 x)) y) (patch (*.f64 #s(approx (- z x) (neg.f64 x)) y) #<representation binary64>) () ())
#s(alt #s(approx (- z x) (neg.f64 x)) (patch #s(approx (- z x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y) (patch (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) (patch (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) #<representation binary64>) () ())
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) (patch (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) (patch (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) (patch (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) (patch (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) (patch (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) (patch (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) (patch (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) (patch (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 y) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 y) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 y) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 y) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) (patch (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) (patch (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) (patch (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) (patch (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- z x) (neg.f64 x)) y) (patch (*.f64 #s(approx (- z x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- z x) (neg.f64 x)) y) (patch (*.f64 #s(approx (- z x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- z x) (neg.f64 x)) y) (patch (*.f64 #s(approx (- z x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- z x) (neg.f64 x)) y) (patch (*.f64 #s(approx (- z x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- z x) (neg.f64 x)) (patch #s(approx (- z x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt #s(approx (- z x) (neg.f64 x)) (patch #s(approx (- z x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt #s(approx (- z x) (neg.f64 x)) (patch #s(approx (- z x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt #s(approx (- z x) (neg.f64 x)) (patch #s(approx (- z x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y) (patch (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y) (patch (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y) (patch (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y) (patch (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify172.0ms (2%)

Memory
11.1MiB live, 290.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01484261
14743376
214353376
341253376
463053376
085003133
Stop Event
iter limit
node limit
Counts
528 → 500
Calls
Call 1
Inputs
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (* x (- 1 y)) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (- 1 y) z)
(/ (- 1 y) z)
(/ (- 1 y) z)
(/ (- 1 y) z)
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (* x (- 1 y)) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(+ x (* -1 (* x y)))
(+ x (+ (* -1 (* x y)) (* y z)))
(+ x (+ (* -1 (* x y)) (* y z)))
(+ x (+ (* -1 (* x y)) (* y z)))
(* -1 (* x y))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(* -1 x)
(- z x)
(- z x)
(- z x)
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (* x (- 1 y)) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ (- 1 y) z)
(/ (- 1 y) z)
(/ (- 1 y) z)
(/ (- 1 y) z)
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
y
(+ y (/ (* x (- 1 y)) z))
(+ y (/ (* x (- 1 y)) z))
(+ y (/ (* x (- 1 y)) z))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (- 1 y) z)
(/ (- 1 y) z)
(/ (- 1 y) z)
(/ (- 1 y) z)
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
y
(+ y (/ (* x (- 1 y)) z))
(+ y (/ (* x (- 1 y)) z))
(+ y (/ (* x (- 1 y)) z))
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(* y z)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* y z)
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ y (* -1 (/ (* x y) z))))
z
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
y
(+ y (/ (* x (- 1 y)) z))
(+ y (/ (* x (- 1 y)) z))
(+ y (/ (* x (- 1 y)) z))
(/ (- 1 y) z)
(/ (- 1 y) z)
(/ (- 1 y) z)
(/ (- 1 y) z)
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
y
(+ y (/ (* x (- 1 y)) z))
(+ y (/ (* x (- 1 y)) z))
(+ y (/ (* x (- 1 y)) z))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (- 1 y) z)
(/ (- 1 y) z)
(/ (- 1 y) z)
(/ (- 1 y) z)
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
y
(+ y (/ (* x (- 1 y)) z))
(+ y (/ (* x (- 1 y)) z))
(+ y (/ (* x (- 1 y)) z))
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
z
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
y
(+ y (/ (* x (- 1 y)) z))
(+ y (/ (* x (- 1 y)) z))
(+ y (/ (* x (- 1 y)) z))
(/ (- 1 y) z)
(/ (- 1 y) z)
(/ (- 1 y) z)
(/ (- 1 y) z)
(/ x z)
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (- 1 (/ x z))) (/ x z))
(/ x z)
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(/ x z)
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (- 1 (/ x z))) (/ x z))
(/ x z)
(+ (* -1 (/ (* x y) z)) (/ x z))
(+ (* -1 (/ (* x y) z)) (/ x z))
(+ (* -1 (/ (* x y) z)) (/ x z))
(/ 1 z)
(+ (* -1 (/ y z)) (/ 1 z))
(+ (* -1 (/ y z)) (/ 1 z))
(+ (* -1 (/ y z)) (/ 1 z))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(/ x z)
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (- 1 (/ x z))) (/ x z))
(/ x z)
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(/ x z)
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (- 1 (/ x z))) (/ x z))
x
(+ x (* y (- z x)))
(+ x (* y (- z x)))
(+ x (* y (- z x)))
(* y (- z x))
(* y (- z x))
(* y (- z x))
(* y (- z x))
(/ x z)
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (- 1 (/ x z))) (/ x z))
(/ x z)
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(/ 1 z)
(+ (* -1 (/ y z)) (/ 1 z))
(+ (* -1 (/ y z)) (/ 1 z))
(+ (* -1 (/ y z)) (/ 1 z))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(/ (* y (- z x)) z)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (+ 1 (* -1 (/ x z))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(/ (* y (- z x)) z)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* -1 (/ (* x y) z))
(* y (+ (* -1 (/ x z)) (/ x (* y z))))
(* y (+ (* -1 (/ x z)) (/ x (* y z))))
(* y (+ (* -1 (/ x z)) (/ x (* y z))))
(* -1 (/ y z))
(* y (- (/ 1 (* y z)) (/ 1 z)))
(* y (- (/ 1 (* y z)) (/ 1 z)))
(* y (- (/ 1 (* y z)) (/ 1 z)))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(/ (* y (- z x)) z)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (+ 1 (* -1 (/ x z))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(/ (* y (- z x)) z)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (- z x))
(* y (- (+ z (/ x y)) x))
(* y (- (+ z (/ x y)) x))
(* y (- (+ z (/ x y)) x))
(* y (- z x))
(* y (- z x))
(* y (- z x))
(* y (- z x))
(/ (* y (- z x)) z)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (+ 1 (* -1 (/ x z))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(* -1 (/ y z))
(* y (- (/ 1 (* y z)) (/ 1 z)))
(* y (- (/ 1 (* y z)) (/ 1 z)))
(* y (- (/ 1 (* y z)) (/ 1 z)))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(/ (* y (- z x)) z)
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (- (/ x z) 1)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(/ (* y (- z x)) z)
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (/ (* x y) z))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z))))
(* -1 (/ y z))
(* -1 (* y (- (/ 1 z) (/ 1 (* y z)))))
(* -1 (* y (- (/ 1 z) (/ 1 (* y z)))))
(* -1 (* y (- (/ 1 z) (/ 1 (* y z)))))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(/ (* y (- z x)) z)
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (- (/ x z) 1)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(/ (* y (- z x)) z)
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* y (- z x))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
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(* y (- z x))
(* y (- z x))
(* y (- z x))
(/ (* y (- z x)) z)
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (- (/ x z) 1)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
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(* -1 (* y (- 1 (/ 1 y))))
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
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(/ x z)
(/ x z)
(/ x z)
(/ x z)
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
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(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
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(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
y
(+ y (* x (- (/ 1 z) (/ y z))))
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y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
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(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(* y z)
(+ (* x (+ 1 (* -1 y))) (* y z))
(+ (* x (+ 1 (* -1 y))) (* y z))
(+ (* x (+ 1 (* -1 y))) (* y z))
(* y z)
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
z
(+ z (* -1 x))
(+ z (* -1 x))
(+ z (* -1 x))
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
y
(+ y (* x (- (/ 1 z) (/ y z))))
(+ y (* x (- (/ 1 z) (/ y z))))
(+ y (* x (- (/ 1 z) (/ y z))))
(/ (* x (+ 1 (* -1 y))) z)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
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(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (+ 1 (* -1 y))) z)
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(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (+ 1 (* -1 y))) z)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
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(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(/ (* x (+ 1 (* -1 y))) z)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* x (+ 1 (* -1 y)))
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(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
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(* x (+ (* -1 y) (/ (* y z) x)))
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(* x (+ (* -1 y) (/ (* y z) x)))
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(/ (* x (+ 1 (* -1 y))) z)
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(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
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(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(* -1 (/ (* x (- y 1)) z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(/ (* x (- 1 y)) z)
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
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(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(* -1 (/ (* x (- y 1)) z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(/ (* x (- 1 y)) z)
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(* -1 (/ (* x (- y 1)) z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
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(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
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(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
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Outputs
(/ (+ x (* -1 (* x y))) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (* x (- 1 y)) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (+ (* x (- 1 y)) (* y z)) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (+ (* x (- 1 y)) (* y z)) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (+ (* x (- 1 y)) (* y z)) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (+ x (* -1 (* x y))) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (* x (- 1 y)) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (* x (- 1 y)) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (* x (- 1 y)) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (* x (- 1 y)) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (- 1 y) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(/ (- 1 y) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(/ (- 1 y) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(/ (- 1 y) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(/ (+ x (* -1 (* x y))) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (* x (- 1 y)) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (+ (* x (- 1 y)) (* y z)) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (+ (* x (- 1 y)) (* y z)) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (+ (* x (- 1 y)) (* y z)) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (+ x (* -1 (* x y))) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ x (+ (* -1 (* x y)) (* y z)))
(fma.f64 (-.f64 z x) y x)
(+ x (+ (* -1 (* x y)) (* y z)))
(fma.f64 (-.f64 z x) y x)
(+ x (+ (* -1 (* x y)) (* y z)))
(fma.f64 (-.f64 z x) y x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(+ (* -1 (* x y)) (* y z))
(*.f64 (-.f64 z x) y)
(+ (* -1 (* x y)) (* y z))
(*.f64 (-.f64 z x) y)
(+ (* -1 (* x y)) (* y z))
(*.f64 (-.f64 z x) y)
(* -1 x)
(neg.f64 x)
(- z x)
(-.f64 z x)
(- z x)
(-.f64 z x)
(- z x)
(-.f64 z x)
(/ (+ x (* -1 (* x y))) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (* x (- 1 y)) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (+ (* x (- 1 y)) (* y z)) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (+ (* x (- 1 y)) (* y z)) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (+ (* x (- 1 y)) (* y z)) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (- 1 y) z)
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(/ (- 1 y) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(/ (- 1 y) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(/ (- 1 y) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
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(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
y
(+ y (/ (* x (- 1 y)) z))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (/ (* x (- 1 y)) z))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (/ (* x (- 1 y)) z))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (* x (- 1 y)) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (* x (- 1 y)) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (* x (- 1 y)) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (* x (- 1 y)) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (- 1 y) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(/ (- 1 y) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(/ (- 1 y) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(/ (- 1 y) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
y
(+ y (/ (* x (- 1 y)) z))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (/ (* x (- 1 y)) z))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (/ (* x (- 1 y)) z))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* y z)
(*.f64 z y)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(fma.f64 (-.f64 z x) y x)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(fma.f64 (-.f64 z x) y x)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(fma.f64 (-.f64 z x) y x)
(* y z)
(*.f64 z y)
(* z (+ y (* -1 (/ (* x y) z))))
(*.f64 (-.f64 z x) y)
(* z (+ y (* -1 (/ (* x y) z))))
(*.f64 (-.f64 z x) y)
(* z (+ y (* -1 (/ (* x y) z))))
(*.f64 (-.f64 z x) y)
z
(* z (+ 1 (* -1 (/ x z))))
(-.f64 z x)
(* z (+ 1 (* -1 (/ x z))))
(-.f64 z x)
(* z (+ 1 (* -1 (/ x z))))
(-.f64 z x)
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
y
(+ y (/ (* x (- 1 y)) z))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (/ (* x (- 1 y)) z))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (/ (* x (- 1 y)) z))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (- 1 y) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(/ (- 1 y) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(/ (- 1 y) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(/ (- 1 y) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
y
(+ y (/ (* x (- 1 y)) z))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (/ (* x (- 1 y)) z))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (/ (* x (- 1 y)) z))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (* x (- 1 y)) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (* x (- 1 y)) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (* x (- 1 y)) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (* x (- 1 y)) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (- 1 y) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(/ (- 1 y) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(/ (- 1 y) z)
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rewrite170.0ms (2%)

Memory
-29.5MiB live, 363.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029196
043196
1158196
21138196
08616190
Stop Event
iter limit
node limit
iter limit
Counts
18 → 328
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(/.f64 x z)
(-.f64 #s(literal 1 binary64) y)
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
#s(approx (- 1 y) #s(literal 1 binary64))
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(fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))
(*.f64 #s(approx (- z x) (neg.f64 x)) y)
#s(approx (- z x) (neg.f64 x))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y))
(fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z)
#s(approx (- 1 y) (neg.f64 y))
Outputs
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eval104.0ms (1.2%)

Memory
38.5MiB live, 311.3MiB allocated
Compiler

Compiled 11 703 to 1 244 computations (89.4% saved)

prune45.0ms (0.5%)

Memory
-11.2MiB live, 64.4MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New8861887
Fresh145
Picked235
Done011
Total8899898
Accuracy
100.0%
Counts
898 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
26.8%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
34.7%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
78.6%
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
71.6%
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
56.1%
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)))
36.0%
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
26.8%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
35.9%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
Compiler

Compiled 105 to 105 computations (0% saved)

simplify266.0ms (3.1%)

Memory
12.3MiB live, 93.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z x)
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)))
cost-diff384
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
cost-diff0
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
cost-diff0
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
cost-diff0
#s(approx (- 1 y) (neg.f64 y))
cost-diff0
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z)
cost-diff0
(*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)
cost-diff0
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
cost-diff0
(*.f64 z y)
cost-diff0
#s(approx (+ x (* y (- z x))) (*.f64 z y))
cost-diff0
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
cost-diff0
#s(approx (- 1 y) (neg.f64 y))
cost-diff0
(/.f64 x z)
cost-diff0
(fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)
cost-diff0
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027198
040198
164198
291198
3144198
4308198
5496198
6935198
71656198
83326198
93668198
103936198
114179198
124242198
134254198
144804198
155605198
166581198
177049198
187239198
197286198
207785198
217892198
08291191
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
(fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)
(/.f64 x z)
x
z
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
#s(approx (+ x (* y (- z x))) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
(*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
z
x
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
z
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 z x)
z
x
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
(fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)
(/.f64 x z)
x
z
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
#s(approx (+ x (* y (- z x))) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))))
(*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)
(*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
z
x
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
z
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)))
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z))
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 z x)
z
x

localize124.0ms (1.4%)

Memory
-20.1MiB live, 115.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 z x)
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy3.3984375674055993
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))
accuracy27.98313840438451
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.0078125
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy8.312990987712444
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
accuracy28.054952888599946
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
accuracy0.00390625
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z)
accuracy1.7806447948286033
(*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)
accuracy27.98313840438451
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
accuracy31.211899998254218
#s(approx (- 1 y) (neg.f64 y))
accuracy0
(*.f64 z y)
accuracy8.312990987712444
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
accuracy34.69385074027409
#s(approx (+ x (* y (- z x))) (*.f64 z y))
accuracy0
(neg.f64 y)
accuracy0
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
accuracy0.01953125
(fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)
accuracy31.211899998254218
#s(approx (- 1 y) (neg.f64 y))
Samples
92.0ms256×0valid
Compiler

Compiled 135 to 21 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-mult: 58.0ms (79.8% of total)
ival-div: 8.0ms (11% of total)
ival-sub: 3.0ms (4.1% of total)
ival-add: 2.0ms (2.8% of total)
ival-neg: 1.0ms (1.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series40.0ms (0.5%)

Memory
7.2MiB live, 45.5MiB allocated
Counts
18 → 516
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) (patch (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* y (- z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) (patch (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) (patch (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) #<representation binary64>) () ())
#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) (patch (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) (patch (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) (patch (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) (patch (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
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#s(alt (/ (* x (- 1 y)) z) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 (* -1 y))) z) (taylor inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) (taylor inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) (taylor inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) (taylor inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) (patch (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) (patch (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) (patch (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) (patch (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) (patch (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) (patch (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) (patch (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) (patch (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
14.0ms
y
@-inf
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (/ (- 1 y) (/ z x)) (/ (+ x (* y (- z x))) z) (/ z x) (neg y))
2.0ms
z
@-inf
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (/ (- 1 y) (/ z x)) (/ (+ x (* y (- z x))) z) (/ z x) (neg y))
2.0ms
x
@-inf
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (/ (- 1 y) (/ z x)) (/ (+ x (* y (- z x))) z) (/ z x) (neg y))
2.0ms
z
@0
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (/ (- 1 y) (/ z x)) (/ (+ x (* y (- z x))) z) (/ z x) (neg y))
1.0ms
z
@inf
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (/ (- 1 y) (/ z x)) (/ (+ x (* y (- z x))) z) (/ z x) (neg y))

simplify135.0ms (1.6%)

Memory
13.6MiB live, 203.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01353937
14253178
212313178
335163178
460313178
081822962
Stop Event
iter limit
node limit
Counts
516 → 495
Calls
Call 1
Inputs
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (* x (- 1 y)) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(+ x (* -1 (* x y)))
(+ x (+ (* -1 (* x y)) (* y z)))
(+ x (+ (* -1 (* x y)) (* y z)))
(+ x (+ (* -1 (* x y)) (* y z)))
(* y z)
(* y z)
(* y z)
(* y z)
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (- 1 y) z)
(/ (- 1 y) z)
(/ (- 1 y) z)
(/ (- 1 y) z)
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(+ x (* -1 (* x y)))
(+ x (+ (* -1 (* x y)) (* y z)))
(+ x (+ (* -1 (* x y)) (* y z)))
(+ x (+ (* -1 (* x y)) (* y z)))
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
y
(+ y (/ (* x (- 1 y)) z))
(+ y (/ (* x (- 1 y)) z))
(+ y (/ (* x (- 1 y)) z))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
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Outputs
(/ (+ x (* -1 (* x y))) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
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rewrite163.0ms (1.9%)

Memory
-24.6MiB live, 293.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027171
040171
1144171
2952171
08837164
Stop Event
iter limit
node limit
iter limit
Counts
18 → 666
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
(fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)
(/.f64 x z)
#s(approx (- 1 y) (neg.f64 y))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
#s(approx (+ x (* y (- z x))) (*.f64 z y))
(*.f64 z y)
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
(*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z)
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)))
(/.f64 z x)
(neg.f64 y)
Outputs
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eval318.0ms (3.7%)

Memory
12.5MiB live, 291.8MiB allocated
Compiler

Compiled 16 750 to 2 423 computations (85.5% saved)

prune179.0ms (2.1%)

Memory
7.5MiB live, 84.9MiB allocated
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New1 28021 282
Fresh000
Picked145
Done044
Total1 281101 291
Accuracy
100.0%
Counts
1 291 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
26.8%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
34.7%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
78.6%
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
71.6%
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
28.3%
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 z x)))
36.0%
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
26.8%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
35.9%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
28.3%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))))
Compiler

Compiled 261 to 148 computations (43.3% saved)

regimes33.0ms (0.4%)

Memory
-15.3MiB live, 31.1MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z)
(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 z x)))
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x)))
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 z x) y x)))
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z)
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
Calls

4 calls:

13.0ms
z
6.0ms
y
6.0ms
x
6.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes19.0ms (0.2%)

Memory
22.0MiB live, 22.0MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z)
(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z)
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
Calls

4 calls:

5.0ms
z
5.0ms
x
4.0ms
y
4.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
AccuracySegmentsBranch
89.5%3x
99.2%3y
88.5%3z
91.3%3(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes97.0ms (1.1%)

Memory
-30.4MiB live, 6.7MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z)
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
99.2%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
99.2%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
Calls

3 calls:

3.0ms
y
3.0ms
x
3.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
AccuracySegmentsBranch
89.5%3x
82.9%2(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
81.3%2y
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes12.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))))
Calls

4 calls:

3.0ms
x
3.0ms
y
3.0ms
z
3.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
AccuracySegmentsBranch
81.3%2y
80.9%2(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
78.6%1z
78.6%1x
Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes101.0ms (1.2%)

Memory
-31.0MiB live, 6.6MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
Calls

2 calls:

98.0ms
y
2.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
AccuracySegmentsBranch
78.6%1(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
78.6%1y
Compiler

Compiled 10 to 10 computations (0% saved)

regimes8.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
Calls

4 calls:

2.0ms
z
2.0ms
x
2.0ms
y
2.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
AccuracySegmentsBranch
49.1%3z
55.8%3x
47.7%3(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
49.0%3y
Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes7.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated
Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

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

4 calls:

2.0ms
y
2.0ms
x
1.0ms
z
1.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
AccuracySegmentsBranch
36.0%1(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
36.0%1y
36.0%1z
36.0%1x
Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch119.0ms (1.4%)

Memory
-20.3MiB live, 17.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
111.0ms
1.2577749110696785e-14
3.2151664927110904e-11
6.0ms
-0.011791734345254228
-0.006976893008900479
Samples
110.0ms192×0valid
Compiler

Compiled 216 to 217 computations (-0.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-mult: 101.0ms (96.1% of total)
ival-sub: 1.0ms (1% of total)
ival-div: 1.0ms (1% of total)
ival-add: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.2577749110696785e-14
3.2151664927110904e-11
3.0ms
-19.281906604731862
-16.55316099370712
Samples
2.0ms32×0valid
Compiler

Compiled 182 to 193 computations (-6% saved)

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

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.2577749110696785e-14
3.2151664927110904e-11
0.0ms
-19.281906604731862
-16.55316099370712
Compiler

Compiled 172 to 183 computations (-6.4% saved)

bsearch27.0ms (0.3%)

Memory
25.3MiB live, 25.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
0.0004346115755086584
3.5131370964339466
14.0ms
-233594977837600700.0
-26507.187254088585
Samples
14.0ms288×0valid
Compiler

Compiled 300 to 337 computations (-12.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (27.3% of total)
ival-div: 2.0ms (27.3% of total)
ival-mult: 2.0ms (27.3% of total)
ival-add: 1.0ms (13.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch138.0ms (1.6%)

Memory
-34.1MiB live, 6.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
137.0ms
5.600482187386292e+196
8.791346744936521e+196
Samples
3.0ms64×0valid
Compiler

Compiled 76 to 85 computations (-11.8% saved)

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

bsearch24.0ms (0.3%)

Memory
21.9MiB live, 21.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
9.98259904357307e-58
1.0929876352244342e-54
11.0ms
-3.353533416288452e+21
-233594977837600700.0
Samples
12.0ms256×0valid
Compiler

Compiled 172 to 221 computations (-28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 2.0ms (31.1% of total)
ival-div: 2.0ms (31.1% of total)
ival-mult: 2.0ms (31.1% of total)
ival-add: 1.0ms (15.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify50.0ms (0.6%)

Memory
-3.4MiB live, 33.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064399
178399
284399
387399
488399
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
(if (<=.f64 y #s(literal -3314649325744685/288230376151711744 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) (if (<=.f64 y #s(literal 4951760157141521/154742504910672534362390528 binary64)) (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))))
(if (<=.f64 y #s(literal -17 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) (if (<=.f64 y #s(literal 4951760157141521/154742504910672534362390528 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))))
(if (<=.f64 y #s(literal -17 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) (if (<=.f64 y #s(literal 4951760157141521/154742504910672534362390528 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))))
(if (<=.f64 x #s(literal -210000000000000000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (if (<=.f64 x #s(literal 7656119366529843/2251799813685248 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))))
(if (<=.f64 y #s(literal 85000000000000004146210997195484539478623591302405143970358427554748649643189312439171919883781184738229039208728263758404833375231274556077705906196900474720797783804101486628970117377966280278016 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
(if (<=.f64 x #s(literal -32000000000000000000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (if (<=.f64 x #s(literal 7453886054533809/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))))
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
(if (<=.f64 y #s(literal -3314649325744685/288230376151711744 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) (if (<=.f64 y #s(literal 4951760157141521/154742504910672534362390528 binary64)) (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))))
(if (<=.f64 y #s(literal -3314649325744685/288230376151711744 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) (if (<=.f64 y #s(literal 4951760157141521/154742504910672534362390528 binary64)) (/.f64 (+.f64 #s(approx (* y (- z x)) (*.f64 z y)) x) z) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))))
(if (<=.f64 y #s(literal -17 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) (if (<=.f64 y #s(literal 4951760157141521/154742504910672534362390528 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))))
(if (<=.f64 y #s(literal -17 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) (if (<=.f64 y #s(literal 4951760157141521/154742504910672534362390528 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))))
(if (<=.f64 x #s(literal -210000000000000000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (if (<=.f64 x #s(literal 7656119366529843/2251799813685248 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))))
(if (<=.f64 y #s(literal 85000000000000004146210997195484539478623591302405143970358427554748649643189312439171919883781184738229039208728263758404833375231274556077705906196900474720797783804101486628970117377966280278016 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))))
(if (<=.f64 y #s(literal 85000000000000004146210997195484539478623591302405143970358427554748649643189312439171919883781184738229039208728263758404833375231274556077705906196900474720797783804101486628970117377966280278016 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
(if (<=.f64 x #s(literal -32000000000000000000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (if (<=.f64 x #s(literal 7453886054533809/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))))
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))

soundness1.6s (18.3%)

Memory
19.2MiB live, 689.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027171
040171
1144171
2952171
08837164
025137
037132
1151129
21047129
08436129
01061006
1346742
21046742
33278742
45788742
57697742
08095688
01484261
14743376
214353376
341253376
463053376
085003133
01824037
15903143
216953116
345163116
469773116
081822900
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 304 to 174 computations (42.8% saved)

preprocess103.0ms (1.2%)

Memory
-2.8MiB live, 117.9MiB allocated
Compiler

Compiled 430 to 148 computations (65.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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