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

Time bar (total: 9.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze45.0ms (0.5%)

Memory
-5.5MiB live, 110.5MiB 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)

sample785.0ms (8.6%)

Memory
-10.7MiB live, 1 556.2MiB allocated
Samples
537.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 329.0ms
ival-sub: 110.0ms (33.4% of total)
ival-mult: 104.0ms (31.6% of total)
ival-div: 66.0ms (20.1% of total)
ival-add: 40.0ms (12.2% of total)
ival-true: 6.0ms (1.8% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain74.0ms (0.8%)

Memory
24.9MiB live, 147.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
260-0-(/.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/n260
(+.f64 x (*.f64 y (-.f64 z x)))overflow45
(*.f64 y (-.f64 z x))overflow45
Confusion
Predicted +Predicted -
+260
-0230
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2600
-00230
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0230
126
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-sub: 5.0ms (33.2% of total)
ival-div: 4.0ms (26.6% of total)
ival-mult: 4.0ms (26.6% of total)
ival-add: 2.0ms (13.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess713.0ms (7.8%)

Memory
-14.1MiB live, 179.9MiB allocated
Algorithm
egg-herbie
Rules
8 344×lower-fma.f64
8 344×lower-fma.f32
2 504×lower-*.f32
2 502×lower-*.f64
1 716×div-sub
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
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.5%
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify428.0ms (4.7%)

Memory
22.2MiB live, 140.7MiB 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)))
Rules
8 344×lower-fma.f64
8 344×lower-fma.f32
2 504×lower-*.f32
2 502×lower-*.f64
1 352×lower-+.f32
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

localize120.0ms (1.3%)

Memory
0.4MiB live, 39.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 z x)
accuracy0.00390625
(*.f64 y (-.f64 z x))
accuracy0.015625
(+.f64 x (*.f64 y (-.f64 z x)))
accuracy6.107869900828566
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Samples
115.0ms256×0valid
Compiler

Compiled 29 to 9 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (31.7% of total)
ival-mult: 2.0ms (31.7% of total)
ival-sub: 1.0ms (15.9% of total)
ival-add: 1.0ms (15.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series33.0ms (0.4%)

Memory
-1.4MiB live, 41.1MiB 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
24.0ms
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
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
z
@0
((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x))

simplify133.0ms (1.4%)

Memory
9.1MiB live, 166.6MiB allocated
Algorithm
egg-herbie
Rules
7 428×lower-fma.f64
7 428×lower-fma.f32
2 496×lower-*.f64
2 496×lower-*.f32
1 468×lower--.f64
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)

rewrite214.0ms (2.3%)

Memory
-16.2MiB live, 253.2MiB allocated
Rules
4 848×lower-fma.f64
4 848×lower-fma.f32
4 800×lower-*.f32
4 798×lower-*.f64
3 004×lower-pow.f64
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
(*.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 x (*.f64 (-.f64 z x) y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 z x) y) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 z x) y) (fma.f64 (-.f64 z x) y x) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y)) (-.f64 (*.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (fma.f64 (-.f64 z x) y x))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 x (*.f64 (-.f64 z x) y))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (-.f64 z x) y x)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z x) y x))
(*.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) (*.f64 (fma.f64 (-.f64 z x) y x) (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) (/.f64 (fma.f64 (-.f64 z x) y x) (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x))))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 z x) y x) (*.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (-.f64 z x) y x) (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (-.f64 x (*.f64 (-.f64 z x) y))))
(*.f64 (fma.f64 (-.f64 z x) y x) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 z x) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 z x) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (-.f64 z x) y x) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 4 binary64))) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64))) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 z x) y) x) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (-.f64 z x) y)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 z x) y))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (*.f64 (-.f64 z x) y))) (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 z x) y)))))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64)) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (-.f64 z x) y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 z x) y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (-.f64 z x) y)))) (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 z x) y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 z x) y (neg.f64 x))))
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(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 z x)) (*.f64 (+.f64 z x) (*.f64 x x))) (pow.f64 (+.f64 z x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 z x) (fma.f64 z z (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 z x) (fma.f64 (*.f64 x x) (fma.f64 z z (*.f64 x x)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (+.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z))) (neg.f64 (+.f64 z x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 (neg.f64 x) z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z)))
(neg.f64 (neg.f64 (-.f64 z x)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z x) x) (-.f64 (*.f64 (+.f64 z x) x) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 (/.f64 (*.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x z) (*.f64 z z)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 (neg.f64 x) x (*.f64 z z))) (-.f64 z x) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) (neg.f64 z) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x z)
(fma.f64 #s(literal 1 binary64) z (neg.f64 x))
(fma.f64 (*.f64 z z) (/.f64 z (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 (*.f64 z z) (pow.f64 (+.f64 z x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 z (/.f64 (*.f64 z z) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 z (/.f64 z (+.f64 z x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 z #s(literal 1 binary64) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) z)
(-.f64 (+.f64 z #s(literal 0 binary64)) x)
(-.f64 (*.f64 z (/.f64 z (+.f64 z x))) (*.f64 x (/.f64 x (+.f64 z x))))
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))
(-.f64 #s(literal 0 binary64) (-.f64 x z))
(-.f64 z x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 z (/.f64 z (+.f64 z x))) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(+.f64 (neg.f64 x) z)
(+.f64 z (neg.f64 x))

eval111.0ms (1.2%)

Memory
3.6MiB live, 124.1MiB allocated
Compiler

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

prune16.0ms (0.2%)

Memory
15.9MiB live, 54.0MiB 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
90.5%
(/.f64 (fma.f64 (-.f64 z x) y x) z)
43.9%
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 z (fma.f64 (-.f64 z x) y (neg.f64 x))))
62.8%
(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z)
57.3%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z)
64.0%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
26.0%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
90.3%
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x)))
94.7%
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))
38.4%
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
62.8%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
Compiler

Compiled 182 to 154 computations (15.4% saved)

simplify265.0ms (2.9%)

Memory
-44.9MiB live, 96.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 z x)
cost-diff0
(fma.f64 (-.f64 z x) y x)
cost-diff0
(/.f64 (fma.f64 (-.f64 z x) y x) z)
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))
Rules
6 344×lower-fma.f32
6 340×lower-fma.f64
2 272×lower-*.f32
2 268×lower-*.f64
2 232×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022151
032146
148146
266146
3117146
4203146
5420146
6842146
71766146
82913146
93272146
103631146
113873146
124049146
134074146
144100146
154784146
165738146
176036146
186108146
196120146
206124146
216275146
226465146
236637146
246637146
08187146
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 (fma.f64 (-.f64 z x) y x) z)
(fma.f64 (-.f64 z x) y x)
(-.f64 z x)
z
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 (-.f64 z x) y x) z))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(/.f64 (fma.f64 (-.f64 z x) y 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)
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
(*.f64 (-.f64 z x) y)
(-.f64 z x)
z
x
y
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(fma.f64 (-.f64 z x) y x)
(-.f64 z x)
z
x
y

localize62.0ms (0.7%)

Memory
31.1MiB live, 68.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 z x)
accuracy0.00390625
(fma.f64 (-.f64 z x) y x)
accuracy6.107869900828566
(/.f64 (fma.f64 (-.f64 z x) y x) z)
accuracy0
(-.f64 z x)
accuracy0.00390625
(*.f64 (-.f64 z x) y)
accuracy6.107869900828566
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z)
accuracy22.101380607943497
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.01171875
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy3.419371111774566
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
accuracy21.859405558139464
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
accuracy0
(/.f64 x z)
accuracy39.393688671112216
#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))
accuracy0.01171875
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy3.3939265127264804
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
Samples
50.0ms256×0valid
Compiler

Compiled 123 to 18 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 25.0ms (69.2% of total)
ival-mult: 5.0ms (13.8% of total)
ival-sub: 3.0ms (8.3% of total)
ival-add: 3.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series53.0ms (0.6%)

Memory
-13.8MiB live, 62.4MiB allocated
Counts
14 → 444
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 (fma.f64 (-.f64 z x) y x) z) (patch (/.f64 (fma.f64 (-.f64 z x) y x) z) #<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>) () ())) ())
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#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 (* -1 y))) 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 (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) (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 (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) (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 (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) (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 (* x (+ 1 (* -1 y))) (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>) () ())) ())
#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>) () ())) ())
#s(alt (* -1 (* x y)) (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 (* 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 (fma.f64 (-.f64 z x) y x) z) (patch (/.f64 (fma.f64 (-.f64 z x) y x) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (-.f64 z x) y x) z) (patch (/.f64 (fma.f64 (-.f64 z x) y x) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (-.f64 z x) y x) z) (patch (/.f64 (fma.f64 (-.f64 z x) y x) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (-.f64 z x) y x) z) (patch (/.f64 (fma.f64 (-.f64 z x) y x) z) #<representation binary64>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (* -1 (/ (* x (- y 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 (* -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>) () ())) ())
#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 (- y 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 (* -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 (* -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 (* -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>) () ())) ())
#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 (* -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 (* -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>) () ())) ())
#s(alt (* -1 (/ (* x (- y 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 (- (+ (* -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>) () ())) ())
#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 (* -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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (* -1 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 z x) y x) z) (patch (/.f64 (fma.f64 (-.f64 z x) y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 z x) y x) z) (patch (/.f64 (fma.f64 (-.f64 z x) y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 z x) y x) z) (patch (/.f64 (fma.f64 (-.f64 z x) y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 z x) y x) z) (patch (/.f64 (fma.f64 (-.f64 z x) y x) z) #<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
24.0ms
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) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x))
3.0ms
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) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x))
1.0ms
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) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x))
1.0ms
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) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x))
1.0ms
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) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x))

simplify158.0ms (1.7%)

Memory
22.7MiB live, 177.2MiB allocated
Algorithm
egg-herbie
Rules
12 372×lower-fma.f64
12 372×lower-fma.f32
3 386×lower-*.f64
3 386×lower-*.f32
1 312×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01483659
14742852
214352852
341202852
462972852
084942636
Stop Event
iter limit
node limit
Counts
444 → 421
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)
(/ 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)
(/ (+ 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)))
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1
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y
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(/ x z)
(/ x z)
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y
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y
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(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
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(/ x z)
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(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
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(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
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(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
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(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
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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)
(/ (- 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 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))
(/ (+ 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 (* 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)
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))
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(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))
(*.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)) z)
(fma.f64 (neg.f64 y) (/.f64 x z) y)
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
y
(+ y (* x (- (/ 1 z) (/ y z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (- (/ 1 z) (/ y z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (- (/ 1 z) (/ y z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 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 (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 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))
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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 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)
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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)
(/ (* x (+ 1 (* -1 y))) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (- (/ 1 z) (/ y z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (* x (+ 1 (* -1 y))) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(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 (* -1 y))) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(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))
(/ (* x (+ 1 (* -1 y))) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* 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)
(* -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)
(/ (* x (+ 1 (* -1 y))) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* 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)
(* -1 (/ (* x (- y 1)) z))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 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))
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (/ (* x (- y 1)) z))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 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)
(* -1 (/ (* x (- y 1)) z))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 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 (/ (* x (- y 1)) z))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -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))
(*.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)
(* -1 (/ (* x (- y 1)) z))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -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)

rewrite246.0ms (2.7%)

Memory
-17.7MiB live, 209.0MiB allocated
Rules
7 580×lower-fma.f32
7 576×lower-fma.f64
5 508×lower-*.f32
5 504×lower-*.f64
4 230×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022124
032119
1133119
2887119
08423119
Stop Event
iter limit
node limit
iter limit
Counts
14 → 710
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 (fma.f64 (-.f64 z x) y x) z)
(fma.f64 (-.f64 z x) y x)
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))
(*.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)))
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)))
(*.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (pow.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y))))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #s(literal -1 binary64))
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(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 z x) y)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (-.f64 z x) y x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (neg.f64 (neg.f64 (-.f64 x (*.f64 (-.f64 z x) y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 z x) y)))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (fma.f64 (neg.f64 y) (-.f64 z x) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (-.f64 z x) y (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 z x) y) (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 z x) y)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 z x) y) (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 z x) y)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (-.f64 z x) y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 z x) y x) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (fma.f64 (-.f64 z x) y x)))
(fma.f64 (*.f64 (-.f64 z x) #s(literal 1 binary64)) y x)
(fma.f64 (*.f64 (+.f64 z x) (*.f64 (-.f64 z x) y)) (pow.f64 (+.f64 z x) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (pow.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 (*.f64 y (+.f64 z x)) (-.f64 z x)) (pow.f64 (+.f64 z x) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 z y) #s(literal 1 binary64) (fma.f64 (neg.f64 x) y x))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) z x) y)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (-.f64 z x) y))
(fma.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (*.f64 (pow.f64 (+.f64 z x) #s(literal -1 binary64)) y) x)
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) #s(literal -1 binary64)) y) x)
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 z x) y)))))
(fma.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 z x) y (neg.f64 x)))))
(fma.f64 (*.f64 (-.f64 z x) y) #s(literal 1 binary64) x)
(fma.f64 (-.f64 z x) y x)
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) y) x)
(fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) z x) y)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 z x) y))
(fma.f64 z y (fma.f64 (neg.f64 x) y x))
(fma.f64 y (-.f64 z x) x)
(fma.f64 y z (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) z x) y)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 z x) y))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 z x) y))) (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 z x) y))))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (-.f64 z x) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 z x) y (neg.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 z x) y x)))
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 (neg.f64 y) x))
(+.f64 (+.f64 x (*.f64 z y)) (*.f64 (neg.f64 x) y))
(+.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) z x) y)) x)
(+.f64 (*.f64 y z) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 z x) y))) (neg.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 z x) y)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (-.f64 z x) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 z x) y (neg.f64 x)))))
(+.f64 (*.f64 z y) (fma.f64 (neg.f64 x) y x))
(+.f64 (*.f64 (-.f64 z x) y) x)
(+.f64 x (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) z x) y)))
(+.f64 x (*.f64 (-.f64 z x) y))

eval230.0ms (2.5%)

Memory
34.7MiB live, 352.4MiB allocated
Compiler

Compiled 23 338 to 2 859 computations (87.7% saved)

prune46.0ms (0.5%)

Memory
-1.0MiB live, 119.1MiB allocated
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New1 39971 406
Fresh415
Picked145
Done000
Total1 404121 416
Accuracy
100.0%
Counts
1 416 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.5%
(/.f64 (fma.f64 (-.f64 z x) y x) z)
62.8%
(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z)
26.0%
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z)
57.3%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z)
32.6%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
67.5%
#s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y))
65.8%
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
70.1%
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
38.4%
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
62.8%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
31.6%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
38.4%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
Compiler

Compiled 150 to 146 computations (2.7% saved)

simplify573.0ms (6.3%)

Memory
-195.2MiB live, 98.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z y)
cost-diff0
#s(approx (* y (- z x)) (*.f64 z y))
cost-diff0
(+.f64 x #s(approx (* y (- z x)) (*.f64 z y)))
cost-diff0
(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z)
cost-diff0
(/.f64 x z)
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
cost-diff0
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 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
#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
#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))
Rules
4 920×lower-fma.f32
4 918×lower-fma.f64
2 368×lower-*.f32
2 360×lower-*.f64
1 904×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031211
043211
166211
291211
3153211
4272211
5455211
6858211
71613211
83215211
93728211
104043211
114136211
124144211
134147211
144527211
155049211
165185211
175251211
185263211
195267211
205429211
215836211
226071211
236390211
247091211
08173207
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#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
#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) (*.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
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 x z)
x
z
(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z)
(+.f64 x #s(approx (* y (- z x)) (*.f64 z y)))
x
#s(approx (* y (- z x)) (*.f64 z y))
(*.f64 z y)
z
y
Outputs
#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
#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) (*.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
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 x z)
x
z
(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z)
(/.f64 (+.f64 #s(approx (* y (- z x)) (*.f64 z y)) x) z)
(+.f64 x #s(approx (* y (- z x)) (*.f64 z y)))
(+.f64 #s(approx (* y (- z x)) (*.f64 z y)) x)
x
#s(approx (* y (- z x)) (*.f64 z y))
(*.f64 z y)
z
y

localize167.0ms (1.8%)

Memory
29.0MiB live, 188.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 z y)
accuracy0.015625
(+.f64 x #s(approx (* y (- z x)) (*.f64 z y)))
accuracy6.107869900828566
(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z)
accuracy33.663535358581264
#s(approx (* y (- z x)) (*.f64 z y))
accuracy0
(/.f64 x z)
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy2.3928655236284615
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
accuracy21.859405558139464
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
accuracy0.01171875
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z)
accuracy3.419371111774566
(*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)
accuracy21.859405558139464
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
accuracy30.296357155191956
#s(approx (- 1 y) (neg.f64 y))
accuracy0.01171875
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
accuracy3.419371111774566
(*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)
accuracy21.859405558139464
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
accuracy33.05204149970639
#s(approx (- 1 y) #s(literal 1 binary64))
accuracy0
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
accuracy0.01171875
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
accuracy3.3939265127264804
(fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)
accuracy33.05204149970639
#s(approx (- 1 y) #s(literal 1 binary64))
Samples
142.0ms256×0valid
Compiler

Compiled 141 to 21 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
ival-div: 84.0ms (72.6% of total)
ival-mult: 17.0ms (14.7% of total)
ival-add: 7.0ms (6.1% of total)
ival-sub: 5.0ms (4.3% of total)
ival-neg: 2.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series65.0ms (0.7%)

Memory
-33.4MiB live, 83.8MiB allocated
Counts
18 → 528
Calls
Call 1
Inputs
#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 (- 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) (*.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 #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 #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) (patch (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) #<representation binary64>) () ())
#s(alt #s(approx (* y (- z x)) (*.f64 z y)) (patch #s(approx (* y (- z x)) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())
Outputs
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#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 #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (/.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 (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) (patch (/.f64 (+.f64 x #s(approx (* 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 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) (patch (/.f64 (+.f64 x #s(approx (* 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 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) (patch (/.f64 (+.f64 x #s(approx (* 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 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) (patch (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (* y (- z x)) (*.f64 z y)) (patch #s(approx (* y (- z x)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* y (- z x)) (*.f64 z y)) (patch #s(approx (* y (- z x)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* y (- z x)) (*.f64 z y)) (patch #s(approx (* y (- z x)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* y (- z x)) (*.f64 z y)) (patch #s(approx (* y (- z x)) (*.f64 z y)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
16.0ms
z
@0
((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ (* (- z x) y) x) z) (* (- 1 y) (/ x z)) (- 1 y) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* z y))
3.0ms
z
@-inf
((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ (* (- z x) y) x) z) (* (- 1 y) (/ x z)) (- 1 y) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* z y))
2.0ms
y
@-inf
((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ (* (- z x) y) x) z) (* (- 1 y) (/ x z)) (- 1 y) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* z y))
2.0ms
z
@inf
((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ (* (- z x) y) x) z) (* (- 1 y) (/ x z)) (- 1 y) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* z y))
2.0ms
y
@inf
((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ (* (- z x) y) x) z) (* (- 1 y) (/ x z)) (- 1 y) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* z y))

simplify169.0ms (1.8%)

Memory
35.3MiB live, 150.4MiB allocated
Algorithm
egg-herbie
Rules
8 754×lower-fma.f64
8 754×lower-fma.f32
2 914×lower-*.f64
2 914×lower-*.f32
1 356×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01364092
14373309
213303309
337363309
463783309
081153120
Stop Event
iter limit
node limit
Counts
528 → 509
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 (- 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)
(/ (* 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)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) 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)))
(* -1 (* x y))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(* y z)
(* y z)
(* y z)
(* 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))
(/ (- 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)))
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* 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)))
(/ (* 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)))
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* 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)))
(* 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))))
(* y z)
(* y z)
(* y z)
(* 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))
(/ (- 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)))
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* 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)))
(/ (* 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)))
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* 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)))
(* 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))))
(* y z)
(* y z)
(* y z)
(* 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 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)
(+ (* -1 (/ (* x y) z)) (/ x z))
(+ (* -1 (/ (* x y) z)) (/ x z))
(+ (* -1 (/ (* x y) z)) (/ x z))
(/ 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)
(+ (* -1 (/ (* x y) z)) (/ x z))
(+ (* -1 (/ (* x y) z)) (/ x z))
(+ (* -1 (/ (* x y) 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
(+ x (* y (- z x)))
(+ x (* y (- z x)))
(+ x (* y (- z x)))
(* y (- z x))
(* y (- z x))
(* y (- z x))
(* y (- z x))
(* y z)
(* y z)
(* y z)
(* 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 (+ 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)
(* 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))))
(/ (* 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)))
(* -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)
(* 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 (- 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)
(* y z)
(* y z)
(* y z)
(/ (* 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 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 (/ (* 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))))
(/ (* 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))))
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(* -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)
(* -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)))))
(* 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))
(* y (- z x))
(* y (- z x))
(* y (- z x))
(* y z)
(* y z)
(* y z)
(* 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
(+ y (* x (- (/ 1 z) (/ y z))))
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(+ y (* x (- (/ 1 z) (/ y z))))
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
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(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ x z)
(/ x z)
(/ x z)
(/ x 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)
(+ (* 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))
(/ (* 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 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))))
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (+ 1 (* -1 y))) z)
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(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ x z)
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(/ x z)
(/ x 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)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (* y z) x)))
(* x (+ (* -1 y) (/ (* y z) x)))
(* x (+ (* -1 y) (/ (* y z) x)))
(* -1 (/ (* x (- y 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)))))
(* -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))))
(/ (* 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)
(/ (* 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)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ x z)
(/ x z)
(/ x z)
(/ x 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)))
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(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
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(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
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)
(/ (- 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)) 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))
(/ (+ 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)) 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 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 (* 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)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 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
(+ 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)
(/ (* 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))
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)
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(/ (- 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)
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))
(/ 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)
(* 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)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 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
(+ 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)
(/ (* x (- 1 y)) z)
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(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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))
(*.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)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
y
(+ y (* x (- (/ 1 z) (/ y z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (- (/ 1 z) (/ y z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (- (/ 1 z) (/ y z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 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))
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 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))
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 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))
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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 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)
(/ (* x (+ 1 (* -1 y))) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (- (/ 1 z) (/ y z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (* x (+ 1 (* -1 y))) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(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))
(/ (* x (+ 1 (* -1 y))) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(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))
(/ (* x (+ 1 (* -1 y))) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(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))
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (* x (+ 1 (* -1 y))) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* 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)
(* -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 (- y 1)) z))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 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))
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (/ (* x (- y 1)) z))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 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 (/ (* x (- y 1)) z))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 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 (/ (* x (- y 1)) z))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 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))
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* -1 (/ (* x (- y 1)) z))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -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))
(*.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)

rewrite267.0ms (2.9%)

Memory
-5.4MiB live, 267.0MiB allocated
Rules
8 818×lower-fma.f32
8 816×lower-fma.f64
5 462×lower-*.f32
5 454×lower-*.f64
3 644×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031180
043180
1167180
21105180
08590176
Stop Event
iter limit
node limit
iter limit
Counts
18 → 512
Calls
Call 1
Inputs
#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(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)
#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))
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(-.f64 #s(literal 1 binary64) y)
(/.f64 x z)
(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z)
(+.f64 x #s(approx (* y (- z x)) (*.f64 z y)))
#s(approx (* y (- z x)) (*.f64 z y))
(*.f64 z y)
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
(*.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 2 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) (pow.f64 (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) (pow.f64 (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) (pow.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) (pow.f64 (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y))))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) (pow.f64 (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) (*.f64 (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y)) (pow.f64 (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y)) #s(literal -1 binary64))))
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(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (* y (- z x)) (*.f64 z y)))) (/.f64 (pow.f64 #s(approx (* y (- z x)) (*.f64 z y)) #s(literal 2 binary64)) (-.f64 x #s(approx (* y (- z x)) (*.f64 z y)))))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) #s(approx (* y (- z x)) (*.f64 z y))))
(+.f64 (neg.f64 (neg.f64 #s(approx (* y (- z x)) (*.f64 z y)))) x)
(+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (* y (- z x)) (*.f64 z y)))) (neg.f64 (/.f64 (pow.f64 #s(approx (* y (- z x)) (*.f64 z y)) #s(literal 2 binary64)) (-.f64 x #s(approx (* y (- z x)) (*.f64 z y))))))
(+.f64 #s(approx (* y (- z x)) (*.f64 z y)) x)
(+.f64 x (neg.f64 (neg.f64 #s(approx (* y (- z x)) (*.f64 z y)))))
(+.f64 x #s(approx (* y (- z x)) (*.f64 z y)))
#s(approx (* y (- z x)) (*.f64 z y))
(*.f64 (*.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z y))
(*.f64 z y)
(*.f64 y z)

eval365.0ms (4%)

Memory
14.3MiB live, 218.0MiB allocated
Compiler

Compiled 13 666 to 1 635 computations (88% saved)

prune32.0ms (0.3%)

Memory
-1.6MiB live, 78.0MiB allocated
Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New1 08021 082
Fresh033
Picked145
Done044
Total1 081131 094
Accuracy
100.0%
Counts
1 094 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.5%
(/.f64 (fma.f64 (-.f64 z x) y x) z)
62.8%
(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z)
26.0%
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z)
57.3%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z)
32.6%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
67.5%
#s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y))
65.8%
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
35.2%
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)))
70.1%
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
38.4%
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
62.8%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
31.6%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
38.4%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
Compiler

Compiled 135 to 131 computations (3% saved)

simplify276.0ms (3%)

Memory
-23.5MiB live, 53.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x z)
cost-diff0
(neg.f64 y)
cost-diff0
(fma.f64 (neg.f64 y) (/.f64 x z) y)
cost-diff0
#s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) 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
(neg.f64 y)
cost-diff0
#s(approx (- 1 y) (neg.f64 y))
cost-diff0
(*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))
cost-diff0
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)))
cost-diff0
(*.f64 z y)
cost-diff0
#s(approx (+ (* (- z x) y) x) (*.f64 z y))
cost-diff0
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z)
cost-diff0
#s(approx (- 1 y) #s(literal 1 binary64))
cost-diff0
(/.f64 x z)
cost-diff0
(fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)
cost-diff0
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
Rules
3 636×lower-fma.f32
3 632×lower-fma.f64
2 104×lower-*.f32
2 098×lower-*.f64
1 696×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030200
042200
170200
2104200
3163200
4242200
5413200
6697200
71394200
82930200
93522200
104087200
114494200
124699200
134752200
145198200
155858200
166774200
177285200
187471200
197611200
08053193
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) #s(literal 1 binary64)) y))
(fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)
(/.f64 x z)
x
z
#s(approx (- 1 y) #s(literal 1 binary64))
#s(literal 1 binary64)
y
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z)
#s(approx (+ (* (- z x) y) x) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
(/.f64 x z)
x
z
(/.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 (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y))
(fma.f64 (neg.f64 y) (/.f64 x z) y)
(neg.f64 y)
y
(/.f64 x z)
x
z
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y))
(fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)
(fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)
(/.f64 x z)
x
z
#s(approx (- 1 y) #s(literal 1 binary64))
#s(literal 1 binary64)
y
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z)
#s(approx (+ (* (- z x) y) x) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
(/.f64 x z)
x
z
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
(/.f64 #s(approx (+ (* (- z x) y) 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))
#s(approx (+ (* (- z x) y) 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 (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
(fma.f64 (neg.f64 y) (/.f64 x z) y)
(*.f64 (/.f64 (-.f64 z x) z) y)
(neg.f64 y)
y
(/.f64 x z)
x
z

localize171.0ms (1.9%)

Memory
22.8MiB live, 67.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x z)
accuracy0
(neg.f64 y)
accuracy1.0628286088211987
(fma.f64 (neg.f64 y) (/.f64 x z) y)
accuracy21.246200593101374
#s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y))
accuracy0.00390625
(*.f64 #s(approx (- z x) (neg.f64 x)) y)
accuracy6.107869900828566
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
accuracy22.101380607943497
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))
accuracy27.996398444363816
#s(approx (- z x) (neg.f64 x))
accuracy0
(neg.f64 y)
accuracy2.3928655236284615
(*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))
accuracy21.859405558139464
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)))
accuracy30.296357155191956
#s(approx (- 1 y) (neg.f64 y))
accuracy0
(*.f64 z y)
accuracy6.107869900828566
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z)
accuracy42.17738545145482
#s(approx (+ (* (- z x) y) x) (*.f64 z y))
accuracy0
(/.f64 x z)
accuracy0
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
accuracy0.0546875
(fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)
accuracy33.05204149970639
#s(approx (- 1 y) #s(literal 1 binary64))
Samples
47.0ms256×0valid
Compiler

Compiled 132 to 23 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 14.0ms (43.3% of total)
ival-mult: 9.0ms (27.8% of total)
ival-add: 4.0ms (12.4% of total)
ival-sub: 3.0ms (9.3% of total)
ival-neg: 2.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series119.0ms (1.3%)

Memory
-5.7MiB live, 32.6MiB allocated
Counts
17 → 504
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y) (patch (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x 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 (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- z x) y) x) (*.f64 z y)) (patch #s(approx (+ (* (- z x) y) x) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) (patch (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.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 (neg.f64 y) (patch (neg.f64 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 (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y)) (patch #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 y) (/.f64 x z) y) (patch (fma.f64 (neg.f64 y) (/.f64 x z) 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) #s(literal 1 binary64)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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) #s(literal 1 binary64)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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) #s(literal 1 binary64)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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) #s(literal 1 binary64)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y) (patch (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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) #s(literal 1 binary64)) y) (patch (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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) #s(literal 1 binary64)) y) (patch (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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) #s(literal 1 binary64)) y) (patch (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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 (+ (* (- z x) y) x) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (* (- z x) y) x) (*.f64 z y)) (patch #s(approx (+ (* (- z x) y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ (* (- z x) y) x) (*.f64 z y)) (patch #s(approx (+ (* (- z x) y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ (* (- z x) y) x) (*.f64 z y)) (patch #s(approx (+ (* (- z x) y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ (* (- z x) y) x) (*.f64 z y)) (patch #s(approx (+ (* (- z x) y) 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>) () ())) ())
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) (taylor inf x) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y)) (patch #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) (taylor inf x) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y)) (patch #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) (taylor inf x) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y)) (patch #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x y) z)) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) (/.f64 x z) y) (patch (fma.f64 (neg.f64 y) (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y z)) (/ y x))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) (/.f64 x z) y) (patch (fma.f64 (neg.f64 y) (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y z)) (/ y x))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) (/.f64 x z) y) (patch (fma.f64 (neg.f64 y) (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y z)) (/ y x))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) (/.f64 x z) y) (patch (fma.f64 (neg.f64 y) (/.f64 x z) y) #<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) #s(literal 1 binary64)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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) #s(literal 1 binary64)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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) #s(literal 1 binary64)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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) #s(literal 1 binary64)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y) (patch (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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) #s(literal 1 binary64)) y) (patch (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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) #s(literal 1 binary64)) y) (patch (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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) #s(literal 1 binary64)) y) (patch (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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 (+ (* (- z x) y) x) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ (* (- z x) y) 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 (+ (* (- z x) y) x) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ (* (- z x) y) 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 (+ (* (- z x) y) x) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ (* (- z x) y) 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 (+ (* (- z x) y) x) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (- z x) y) x) (*.f64 z y)) (patch #s(approx (+ (* (- z x) y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (- z x) y) x) (*.f64 z y)) (patch #s(approx (+ (* (- z x) y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (- z x) y) x) (*.f64 z y)) (patch #s(approx (+ (* (- z x) y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (- z x) y) x) (*.f64 z y)) (patch #s(approx (+ (* (- z x) y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) (patch (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) (patch (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) (patch (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) (patch (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.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 #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 (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y)) (patch #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y)) (patch #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y)) (patch #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y)) (patch #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) (/.f64 x z) y) (patch (fma.f64 (neg.f64 y) (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) (/.f64 x z) y) (patch (fma.f64 (neg.f64 y) (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) (/.f64 x z) y) (patch (fma.f64 (neg.f64 y) (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) (/.f64 x z) y) (patch (fma.f64 (neg.f64 y) (/.f64 x z) y) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
92.0ms
z
@-inf
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (* z y) (/ (+ (* (- z x) y) x) z) (* (- 1 y) (/ x z)) (- 1 y) (neg y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x) (/ (+ (* (- z x) y) x) z) (+ (* (neg y) (/ x z)) y))
4.0ms
z
@inf
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (* z y) (/ (+ (* (- z x) y) x) z) (* (- 1 y) (/ x z)) (- 1 y) (neg y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x) (/ (+ (* (- z x) y) x) z) (+ (* (neg y) (/ x z)) y))
2.0ms
y
@inf
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (* z y) (/ (+ (* (- z x) y) x) z) (* (- 1 y) (/ x z)) (- 1 y) (neg y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x) (/ (+ (* (- z x) y) x) z) (+ (* (neg y) (/ x z)) y))
2.0ms
y
@-inf
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (* z y) (/ (+ (* (- z x) y) x) z) (* (- 1 y) (/ x z)) (- 1 y) (neg y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x) (/ (+ (* (- z x) y) x) z) (+ (* (neg y) (/ x z)) y))
1.0ms
y
@0
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (* z y) (/ (+ (* (- z x) y) x) z) (* (- 1 y) (/ x z)) (- 1 y) (neg y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x) (/ (+ (* (- z x) y) x) z) (+ (* (neg y) (/ x z)) y))

simplify466.0ms (5.1%)

Memory
-17.6MiB live, 137.8MiB allocated
Algorithm
egg-herbie
Rules
12 740×lower-fma.f64
12 740×lower-fma.f32
3 826×lower-*.f64
3 826×lower-*.f32
1 390×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01474028
14783095
214243095
339533095
461803095
086312879
Stop Event
iter limit
node limit
Counts
504 → 478
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)
(/ (+ 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)
(* -1 (/ (* x y) z))
(/ (+ (* -1 (* x y)) (* y z)) z)
(/ (+ (* -1 (* x y)) (* y z)) z)
(/ (+ (* -1 (* x y)) (* y z)) 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)))
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Outputs
(/ (+ 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)
(/ (* x (- 1 y)) z)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(/ (+ (* x (- 1 y)) (* y z)) z)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(/ (+ (* x (- 1 y)) (* y z)) z)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(/ (+ (* x (- 1 y)) (* y z)) z)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x 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 (-.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)
(+ 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)
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(fma.f64 (-.f64 z x) y x)
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(* y z)
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(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
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(/ (+ 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)
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(/ (* x (- 1 y)) z)
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(/ (* x (- 1 y)) z)
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(/ (* x (- 1 y)) z)
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(/ (* x (- 1 y)) z)
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(/ (+ x (* -1 (* x y))) z)
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(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
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(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(+ x (* -1 (* x y)))
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(+ x (+ (* -1 (* x y)) (* y z)))
(fma.f64 (-.f64 z x) y x)
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(fma.f64 (-.f64 z x) y x)
(+ x (+ (* -1 (* x y)) (* y z)))
(fma.f64 (-.f64 z x) y x)
(* -1 (* x y))
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(+ (* -1 (* x y)) (* y z))
(*.f64 (-.f64 z x) y)
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(*.f64 (-.f64 z x) y)
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(* -1 x)
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(/ (+ x (* -1 (* x y))) z)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
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(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) z))
(*.f64 (neg.f64 x) (/.f64 y z))
(/ (+ (* -1 (* x y)) (* y z)) z)
(-.f64 y (*.f64 (/.f64 x z) y))
(/ (+ (* -1 (* x y)) (* y z)) z)
(-.f64 y (*.f64 (/.f64 x z) y))
(/ (+ (* -1 (* x y)) (* y z)) z)
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(/ (* x (+ 1 (* -1 y))) z)
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(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
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(/ (* x (- 1 y)) z)
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(/ (* x (- 1 y)) z)
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(/ (* x (+ 1 (* -1 y))) z)
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(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
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(/ (* x (- 1 y)) z)
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(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
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(/ x z)
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(/ (* x (- 1 y)) z)
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(/ (* x (- 1 y)) z)
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rewrite352.0ms (3.8%)

Memory
1.0MiB live, 206.2MiB allocated
Rules
10 924×lower-fma.f32
10 920×lower-fma.f64
5 922×lower-*.f32
5 916×lower-*.f64
3 454×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030175
042175
1166175
21075175
09004168
Stop Event
iter limit
node limit
iter limit
Counts
17 → 266
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
(fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)
(/.f64 x z)
#s(approx (- 1 y) #s(literal 1 binary64))
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z)
#s(approx (+ (* (- z x) y) x) (*.f64 z y))
(*.f64 z y)
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 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 (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y))
(fma.f64 (neg.f64 y) (/.f64 x z) y)
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y))
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(fma.f64 y (/.f64 (neg.f64 x) z) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 x) z) y))
(fma.f64 x (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1 binary64))) y)
(fma.f64 x (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 y)) y)
(-.f64 (+.f64 y #s(literal 0 binary64)) (*.f64 (/.f64 x z) y))
(-.f64 (/.f64 (*.f64 y y) (+.f64 y (*.f64 (/.f64 x z) y))) (/.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (+.f64 y (*.f64 (/.f64 x z) y))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 x z) y y))) (/.f64 (*.f64 y y) (neg.f64 (fma.f64 (/.f64 x z) y y))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 x z) y) y))
(-.f64 y (*.f64 (/.f64 x z) y))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 x z) y y))) (neg.f64 (/.f64 (*.f64 y y) (neg.f64 (fma.f64 (/.f64 x z) y y)))))
(+.f64 (*.f64 (/.f64 (neg.f64 x) z) y) y)
(+.f64 y (*.f64 (/.f64 (neg.f64 x) z) y))

eval121.0ms (1.3%)

Memory
-4.1MiB live, 190.1MiB allocated
Compiler

Compiled 9 784 to 1 004 computations (89.7% saved)

prune33.0ms (0.4%)

Memory
7.0MiB live, 92.0MiB allocated
Pruning

13 alts after pruning (0 fresh and 13 done)

PrunedKeptTotal
New8650865
Fresh000
Picked055
Done088
Total86513878
Accuracy
100.0%
Counts
878 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.5%
(/.f64 (fma.f64 (-.f64 z x) y x) z)
62.8%
(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z)
26.0%
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z)
57.3%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z)
32.6%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
67.5%
#s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y))
65.8%
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
35.2%
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)))
70.1%
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
38.4%
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
62.8%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
31.6%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
38.4%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
Compiler

Compiled 266 to 161 computations (39.5% saved)

regimes46.0ms (0.5%)

Memory
25.1MiB live, 61.9MiB allocated
Counts
20 → 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)
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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 #s(approx (- 1 y) (neg.f64 y)) z) x))
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)))
(/.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 (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
#s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) 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 (-.f64 #s(literal 1 binary64) y) z) x y))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 z (fma.f64 (-.f64 z x) y (neg.f64 x))))
Outputs
#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) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))
Calls

4 calls:

26.0ms
y
7.0ms
z
6.0ms
x
6.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
AccuracySegmentsBranch
94.7%1x
99.9%3y
99.9%3z
99.9%3(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes36.0ms (0.4%)

Memory
-22.2MiB live, 17.0MiB allocated
Counts
17 → 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)
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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 #s(approx (- 1 y) (neg.f64 y)) z) x))
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)))
(/.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 (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
#s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) 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 (-.f64 #s(literal 1 binary64) y) z) x y))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))
Calls

1 calls:

35.0ms
z
Results
AccuracySegmentsBranch
99.9%3z
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes20.0ms (0.2%)

Memory
5.7MiB live, 47.0MiB allocated
Counts
16 → 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)
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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 #s(approx (- 1 y) (neg.f64 y)) z) x))
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)))
(/.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 (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
#s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) 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 (-.f64 #s(literal 1 binary64) y) z) x y))
Outputs
#s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))
#s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y))
Calls

3 calls:

9.0ms
y
5.0ms
z
5.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
AccuracySegmentsBranch
94.7%1(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
99.8%3y
94.7%1z
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes6.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Counts
15 → 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)
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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 #s(approx (- 1 y) (neg.f64 y)) z) x))
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)))
(/.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 (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
#s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) 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 (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
#s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y))
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
98.8%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes20.0ms (0.2%)

Memory
-24.9MiB live, 49.9MiB allocated
Counts
11 → 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)
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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 #s(approx (- 1 y) (neg.f64 y)) z) x))
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)))
(/.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 (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
Calls

4 calls:

6.0ms
x
6.0ms
y
4.0ms
z
4.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
AccuracySegmentsBranch
83.6%3x
87.4%3z
84.5%3(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
80.1%3y
Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes5.0ms (0.1%)

Memory
17.4MiB live, 17.4MiB allocated
Counts
10 → 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)
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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 #s(approx (- 1 y) (neg.f64 y)) z) x))
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)))
(/.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) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
#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 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
Calls

1 calls:

4.0ms
z
Results
AccuracySegmentsBranch
84.5%3z
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes16.0ms (0.2%)

Memory
15.1MiB live, 52.7MiB 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)
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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 #s(approx (- 1 y) (neg.f64 y)) z) x))
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
Outputs
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)))
Calls

4 calls:

5.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
4.0ms
z
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
79.8%3y
70.1%1x
78.1%3(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
77.6%3z
Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes40.0ms (0.4%)

Memory
-46.3MiB live, 51.0MiB allocated
Counts
7 → 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)
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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 #s(approx (- 1 y) (neg.f64 y)) z) x))
Outputs
#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) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
Calls

3 calls:

33.0ms
y
4.0ms
z
3.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
AccuracySegmentsBranch
75.3%3z
76.1%3(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
76.9%3y
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes11.0ms (0.1%)

Memory
20.4MiB live, 20.4MiB allocated
Counts
6 → 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)
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
#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 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
Calls

4 calls:

3.0ms
x
3.0ms
y
3.0ms
z
2.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
AccuracySegmentsBranch
70.1%1x
70.1%1z
70.1%1(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
70.1%1y
Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes11.0ms (0.1%)

Memory
-18.2MiB live, 20.9MiB allocated
Counts
4 → 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)
(/.f64 #s(approx (+ (* (- z x) y) 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:

5.0ms
y
2.0ms
z
2.0ms
x
2.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
AccuracySegmentsBranch
45.9%3z
48.7%3y
43.7%3(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
48.9%3x
Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes7.0ms (0.1%)

Memory
16.3MiB live, 16.3MiB allocated
Accuracy

Total -0.1b remaining (-0.1%)

Threshold costs -0.1b (-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
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
1.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
38.4%1(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
38.4%1z
38.4%1y
38.4%1x
Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch35.0ms (0.4%)

Memory
-20.6MiB live, 58.2MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
12.0ms
5.9528619687416735e-33
7.155131749567788e-27
18.0ms
-1.7619093200701802e-115
-1.9703494873831628e-117
Samples
21.0ms256×0valid
Compiler

Compiled 300 to 285 computations (5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-add: 10.0ms (68% of total)
ival-sub: 2.0ms (13.6% of total)
ival-div: 2.0ms (13.6% of total)
ival-mult: 2.0ms (13.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
1.0ms
5.9528619687416735e-33
7.155131749567788e-27
1.0ms
-1.7619093200701802e-115
-1.9703494873831628e-117
Compiler

Compiled 284 to 269 computations (5.3% saved)

bsearch56.0ms (0.6%)

Memory
15.3MiB live, 53.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
44.0ms
187787427.30148968
501600358797392.7
9.0ms
-1.119722622128283e+38
-1.091446707182968e+30
Samples
12.0ms256×0valid
Compiler

Compiled 284 to 285 computations (-0.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (31.3% of total)
ival-mult: 2.0ms (31.3% of total)
ival-sub: 1.0ms (15.6% of total)
ival-add: 1.0ms (15.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch41.0ms (0.4%)

Memory
6.2MiB live, 44.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
8.654956565379807e-7
0.011977814874385699
9.0ms
-5924482.937515129
-244812.71137675017
Samples
12.0ms240×0valid
Compiler

Compiled 252 to 268 computations (-6.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (32.3% of total)
ival-mult: 2.0ms (32.3% of total)
ival-sub: 1.0ms (16.1% of total)
ival-add: 1.0ms (16.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Memory
-22.2MiB live, 58.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
3.1221424507348443e+32
1.6095853127793147e+37
12.0ms
-3.4201841903388697e-90
-1.4615154168959292e-92
Samples
14.0ms240×0valid
Compiler

Compiled 252 to 283 computations (-12.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (45.8% of total)
ival-div: 2.0ms (22.9% of total)
ival-sub: 1.0ms (11.5% of total)
ival-add: 1.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.1221424507348443e+32
1.6095853127793147e+37
1.0ms
-3.4201841903388697e-90
-1.4615154168959292e-92
Compiler

Compiled 252 to 283 computations (-12.3% saved)

bsearch23.0ms (0.2%)

Memory
12.9MiB live, 49.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
0.011977814874385699
187787427.30148968
6.0ms
-203915404824.13855
-110313364312.2014
Samples
11.0ms224×0valid
Compiler

Compiled 236 to 265 computations (-12.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 1.0ms (18.3% of total)
ival-div: 1.0ms (18.3% of total)
ival-add: 1.0ms (18.3% of total)
ival-mult: 1.0ms (18.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.011977814874385699
187787427.30148968
0.0ms
-203915404824.13855
-110313364312.2014
Compiler

Compiled 236 to 265 computations (-12.3% saved)

bsearch39.0ms (0.4%)

Memory
2.0MiB live, 39.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
6.876854684014599e-162
3.3512821755912772e-158
26.0ms
-178662.62769743698
-343.4370958150986
Samples
28.0ms256×0valid
Compiler

Compiled 172 to 221 computations (-28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-add: 17.0ms (77.7% of total)
ival-sub: 2.0ms (9.1% of total)
ival-div: 2.0ms (9.1% of total)
ival-mult: 2.0ms (9.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify40.0ms (0.4%)

Memory
21.0MiB live, 57.6MiB allocated
Algorithm
egg-herbie
Rules
16×*-commutative-binary64-*.f64
10×+-commutative-binary64-+.f64
sub-neg-binary64-neg.f64-+.f64--.f64
neg-sub0-binary64--.f64-neg.f64
neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085573
1101573
2107573
3110573
4111573
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 z #s(literal -3881737571769141/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (if (<=.f64 z #s(literal 2439144006089287/348449143727040986586495598010130648530944 binary64)) (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))))
(if (<=.f64 z #s(literal -3881737571769141/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (if (<=.f64 z #s(literal 2439144006089287/348449143727040986586495598010130648530944 binary64)) (/.f64 (fma.f64 (-.f64 z x) y x) z) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))))
(if (<=.f64 y #s(literal -1199999999999999967566554464256 binary64)) #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y)) (if (<=.f64 y #s(literal 400000000000000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y))))
(if (<=.f64 y #s(literal -245000 binary64)) #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y)) (if (<=.f64 y #s(literal 208967022709991/18014398509481984 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y))))
(if (<=.f64 z #s(literal -6651145986371207/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) (if (<=.f64 z #s(literal 319999999999999988348681438887936 binary64)) #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))))
(if (<=.f64 z #s(literal -6651145986371207/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) (if (<=.f64 z #s(literal 319999999999999988348681438887936 binary64)) #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 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))))
(if (<=.f64 y #s(literal -185000000000 binary64)) #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (if (<=.f64 y #s(literal 210000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)))))
(if (<=.f64 y #s(literal -185000000000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) (if (<=.f64 y #s(literal 210000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
(if (<=.f64 x #s(literal -560 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (if (<=.f64 x #s(literal 4080951624306225/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568 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
(if (<=.f64 z #s(literal -3881737571769141/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (if (<=.f64 z #s(literal 2439144006089287/348449143727040986586495598010130648530944 binary64)) (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))))
(if (<=.f64 z #s(literal -3881737571769141/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (if (<=.f64 z #s(literal 2439144006089287/348449143727040986586495598010130648530944 binary64)) (/.f64 (+.f64 (*.f64 (-.f64 z x) y) x) z) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))))
(if (<=.f64 z #s(literal -3881737571769141/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (if (<=.f64 z #s(literal 2439144006089287/348449143727040986586495598010130648530944 binary64)) (/.f64 (fma.f64 (-.f64 z x) y x) z) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))))
(if (<=.f64 y #s(literal -1199999999999999967566554464256 binary64)) #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y)) (if (<=.f64 y #s(literal 400000000000000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y))))
(if (<=.f64 y #s(literal -245000 binary64)) #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y)) (if (<=.f64 y #s(literal 208967022709991/18014398509481984 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (neg.f64 y) (/.f64 x z) y))))
(if (<=.f64 z #s(literal -6651145986371207/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) (if (<=.f64 z #s(literal 319999999999999988348681438887936 binary64)) #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))))
(if (<=.f64 z #s(literal -6651145986371207/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) (if (<=.f64 z #s(literal 319999999999999988348681438887936 binary64)) #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))))
(if (<=.f64 z #s(literal -6651145986371207/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) (if (<=.f64 z #s(literal 319999999999999988348681438887936 binary64)) #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 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))))
(if (<=.f64 y #s(literal -185000000000 binary64)) #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (if (<=.f64 y #s(literal 210000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)))))
(if (<=.f64 y #s(literal -185000000000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) (if (<=.f64 y #s(literal 210000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) 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) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
(if (<=.f64 x #s(literal -560 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (if (<=.f64 x #s(literal 4080951624306225/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568 binary64)) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))))
(if (<=.f64 x #s(literal -560 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (if (<=.f64 x #s(literal 4080951624306225/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568 binary64)) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 y z)) z) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))))
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))

soundness1.7s (18.3%)

Memory
-3.5MiB live, 837.8MiB allocated
Rules
12 372×lower-fma.f64
12 372×lower-fma.f32
8 818×lower-fma.f32
8 816×lower-fma.f64
8 754×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
01124
14624
235224
3457624
0911522
031180
043180
1167180
21105180
08590176
01061006
1346742
21046742
33278742
45788742
57697742
08095688
01364092
14373309
213303309
337363309
463783309
081153120
01483659
14742852
214352852
341202852
462972852
084942636
Stop Event
done
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 524 to 271 computations (48.3% saved)

preprocess92.0ms (1%)

Memory
2.4MiB live, 157.1MiB allocated
Compiler

Compiled 632 to 184 computations (70.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...