Diagrams.TwoD.Segment.Bernstein:evaluateBernstein from diagrams-lib-1.3.0.3

Time bar (total: 7.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze48.0ms (0.7%)

Memory
20.4MiB live, 56.4MiB 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 10 computations (9.1% saved)

sample1.1s (14.9%)

Memory
-2.5MiB live, 1 153.8MiB allocated
Samples
697.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 339.0ms
ival-div: 157.0ms (46.3% of total)
ival-mult: 75.0ms (22.1% of total)
ival-sub: 51.0ms (15% of total)
ival-add: 43.0ms (12.7% of total)
ival-true: 5.0ms (1.5% of total)
exact: 5.0ms (1.5% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain79.0ms (1.1%)

Memory
-1.8MiB live, 159.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
340-0-(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
00-0-y
00-0-#s(literal 1 binary64)
00-0-(+.f64 (-.f64 y z) #s(literal 1 binary64))
00-0-(-.f64 y z)
00-0-z
00-0-(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)o/n340
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))overflow55
Confusion
Predicted +Predicted -
+340
-0222
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3400
-00222
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0222
134
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
31.0ms512×0valid
Compiler

Compiled 97 to 36 computations (62.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sub: 4.0ms (27.5% of total)
ival-div: 4.0ms (27.5% of total)
ival-mult: 4.0ms (27.5% of total)
ival-add: 2.0ms (13.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess395.0ms (5.5%)

Memory
3.7MiB live, 139.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03492
113586
241383
3189581
4528181
5763681
089
0129
1289
2579
31529
43419
57599
616839
730579
845099
953619
1058899
1159709
1260009
1360049
1460969
1562839
1663179
1763339
1864379
1967439
2067559
2167559
081598
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Outputs
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
Symmetry

(negabs x)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.4%
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify518.0ms (7.3%)

Memory
-21.8MiB live, 137.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y z)
cost-diff0
(+.f64 (-.f64 y z) #s(literal 1 binary64))
cost-diff0
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
cost-diff128
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
01228
12828
25728
315228
434128
575928
6168328
7305728
8450928
9536128
10588928
11597028
12600028
13600428
14609628
15628328
16631728
17633328
18643728
19674328
20675528
21675528
0815926
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
x
(+.f64 (-.f64 y z) #s(literal 1 binary64))
(-.f64 y z)
y
z
#s(literal 1 binary64)
Outputs
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
(fma.f64 (-.f64 y z) x x)
x
(+.f64 (-.f64 y z) #s(literal 1 binary64))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(-.f64 y z)
y
z
#s(literal 1 binary64)

localize20.0ms (0.3%)

Memory
21.3MiB live, 21.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 y z)
accuracy0
(+.f64 (-.f64 y z) #s(literal 1 binary64))
accuracy0.015625
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
accuracy8.04611208085523
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Samples
14.0ms256×0valid
Compiler

Compiled 58 to 18 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (31% of total)
ival-mult: 2.0ms (31% of total)
ival-sub: 1.0ms (15.5% of total)
ival-add: 1.0ms (15.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series84.0ms (1.2%)

Memory
-27.2MiB live, 11.5MiB allocated
Counts
4 → 120
Calls
Call 1
Inputs
#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())
Outputs
#s(alt (* x (+ 1 y)) (taylor 0 z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor -inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) (taylor -inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) (taylor -inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) (taylor -inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 z)) z) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (- 1 z) (taylor 0 y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 y) z) (taylor 0 y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 y) z) (taylor 0 y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 y) z) (taylor 0 y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ 1 y)) (/ z y))) (taylor inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ 1 y)) (/ z y))) (taylor inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ 1 y)) (/ z y))) (taylor inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
74.0ms
y
@inf
((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z))
1.0ms
y
@-inf
((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z))
1.0ms
z
@-inf
((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z))
1.0ms
x
@-inf
((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z))
1.0ms
z
@inf
((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z))

simplify303.0ms (4.2%)

Memory
16.9MiB live, 95.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082877
1263697
2815697
32546696
46154695
08196633
Stop Event
iter limit
node limit
Counts
120 → 115
Calls
Call 1
Inputs
(* x (+ 1 y))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
(+ (* x y) (* x (- 1 z)))
(+ (* x y) (* x (- 1 z)))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(- 1 z)
(- (+ 1 y) z)
(- (+ 1 y) z)
(- (+ 1 y) z)
(* -1 z)
(- y z)
(- y z)
(- y z)
(* x y)
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ (* x (- 1 z)) y)))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
y
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
y
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
Outputs
(* x (+ 1 y))
(fma.f64 y x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
y
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* -1 z)
(neg.f64 z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(- (+ 1 y) z)
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(- (+ 1 y) z)
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(* x y)
(*.f64 y x)
(* y (+ x (/ (* x (- 1 z)) y)))
(fma.f64 (-.f64 y z) x x)
(* y (+ x (/ (* x (- 1 z)) y)))
(fma.f64 (-.f64 y z) x x)
(* y (+ x (/ (* x (- 1 z)) y)))
(fma.f64 (-.f64 y z) x x)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
y
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (-.f64 y z) x x)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
y
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
y
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)

rewrite141.0ms (2%)

Memory
-12.9MiB live, 217.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01224
15924
245224
3747124
0856622
Stop Event
iter limit
node limit
iter limit
Counts
4 → 378
Calls
Call 1
Inputs
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(+.f64 (-.f64 y z) #s(literal 1 binary64))
(-.f64 y z)
Outputs
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eval73.0ms (1%)

Memory
12.7MiB live, 135.8MiB allocated
Compiler

Compiled 9 010 to 1 422 computations (84.2% saved)

prune13.0ms (0.2%)

Memory
3.8MiB live, 43.1MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New48310493
Fresh000
Picked101
Done000
Total48410494
Accuracy
100.0%
Counts
494 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.4%
(/.f64 (fma.f64 (-.f64 y z) x x) z)
55.9%
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z)
58.7%
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
38.4%
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
95.8%
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))
94.7%
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)
89.5%
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
64.5%
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
41.0%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
40.3%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Compiler

Compiled 142 to 134 computations (5.6% saved)

simplify293.0ms (4.1%)

Memory
-1.8MiB live, 154.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y z)
cost-diff0
(fma.f64 (-.f64 y z) x x)
cost-diff0
(/.f64 (fma.f64 (-.f64 y z) x x) z)
cost-diff0
(fma.f64 y x x)
cost-diff0
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
cost-diff0
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 (/.f64 x z) y)
cost-diff0
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
cost-diff0
(-.f64 y z)
cost-diff0
(-.f64 (-.f64 y z) #s(literal -1 binary64))
cost-diff0
(/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))
cost-diff512
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023122
036119
169117
2110117
3235117
4491117
51082117
62861117
74676117
85789117
96134117
106255117
116286117
126300117
136405117
146859117
157178117
167228117
177244117
187272117
197280117
207294117
217324117
08180117
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))
x
(/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))
z
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(-.f64 y z)
y
#s(literal -1 binary64)
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(neg.f64 x)
x
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
(fma.f64 y x x)
y
x
z
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(fma.f64 (-.f64 y z) x x)
(-.f64 y z)
y
z
x
Outputs
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
x
(/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))
z
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(-.f64 y z)
y
#s(literal -1 binary64)
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(neg.f64 x)
x
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
(fma.f64 y x x)
y
x
z
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(fma.f64 (-.f64 y z) x x)
(-.f64 y z)
y
z
x

localize67.0ms (0.9%)

Memory
8.9MiB live, 130.2MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 (-.f64 y z) x x)
accuracy0
(-.f64 y z)
accuracy8.04611208085523
(/.f64 (fma.f64 (-.f64 y z) x x) z)
accuracy0
(fma.f64 y x x)
accuracy8.04611208085523
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
accuracy23.803673153726653
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
accuracy0
(/.f64 x z)
accuracy4.141587243328205
(*.f64 (/.f64 x z) y)
accuracy37.88374278185192
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
accuracy0
(neg.f64 x)
accuracy38.20817250978517
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
accuracy0
(-.f64 (-.f64 y z) #s(literal -1 binary64))
accuracy0
(-.f64 y z)
accuracy0.01953125
(/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))
accuracy2.6915688790540147
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))
Samples
54.0ms256×0valid
Compiler

Compiled 198 to 40 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 10.0ms (40.4% of total)
ival-mult: 6.0ms (24.2% of total)
ival-add: 4.0ms (16.1% of total)
ival-sub: 3.0ms (12.1% of total)
ival-neg: 2.0ms (8.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series33.0ms (0.5%)

Memory
14.6MiB live, 52.9MiB allocated
Counts
14 → 420
Calls
Call 1
Inputs
#s(alt (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) (patch (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())
#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())
#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())
Outputs
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) 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 (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@0
((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x))
4.0ms
y
@inf
((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x))
3.0ms
z
@0
((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x))
3.0ms
x
@-inf
((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x))
2.0ms
z
@-inf
((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x))

simplify160.0ms (2.2%)

Memory
-0.6MiB live, 184.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02473752
17913218
224323132
373003113
081922894
Stop Event
iter limit
node limit
Counts
420 → 414
Calls
Call 1
Inputs
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ z (+ 1 y))
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2))))
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y))))
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))))
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(* x (+ 1 y))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(/ (+ x (* x y)) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(+ x (* x y))
(+ x (+ (* -1 (* x z)) (* x y)))
(+ x (+ (* -1 (* x z)) (* x y)))
(+ x (+ (* -1 (* x z)) (* x y)))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
-1
(- (* -1 (/ (+ 1 y) z)) 1)
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z))))
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2))))))
(* -1 z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* -1 x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(* -1 (* x z))
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
-1
(- (* -1 (/ (+ 1 y) z)) 1)
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1)
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ z (- 1 z))
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ z (- 1 z)))
(+ (* y (- (/ (* y z) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- 1 z) 4))) (* -1 (/ z (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(- 1 z)
(- (+ 1 y) z)
(- (+ 1 y) z)
(- (+ 1 y) z)
(* -1 z)
(- y z)
(- y z)
(- y z)
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
(+ (* x y) (* x (- 1 z)))
(+ (* x y) (* x (- 1 z)))
x
(+ x (* x y))
(+ x (* x y))
(+ x (* x y))
(/ (+ x (* -1 (* x z))) z)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x y)))
(+ x (+ (* -1 (* x z)) (* x y)))
(+ x (+ (* -1 (* x z)) (* x y)))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ z y)
(/ (+ z (* -1 (/ (* z (- 1 z)) y))) y)
(/ (- (+ z (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y)) y)
(/ (- (+ z (* -1 (/ (* z (pow (- 1 z) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y))) y)
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* x y)
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ (* x (- 1 z)) y)))
(* x y)
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(/ (* x y) z)
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(* x y)
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/ z y)
(* -1 (/ (+ (* -1 z) (/ (* z (- 1 z)) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y))
y
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
y
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(* -1 (* x (- (* -1 (- y z)) 1)))
(* -1 (* x (- (* -1 (- y z)) 1)))
(* -1 (* x (- (* -1 (- y z)) 1)))
(* -1 (* x (- (* -1 (- y z)) 1)))
Outputs
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ z (+ 1 y))
(/.f64 z (-.f64 y #s(literal -1 binary64)))
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2))))
(fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) z (/.f64 z (-.f64 y #s(literal -1 binary64))))
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y))))
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) z (/.f64 z (-.f64 y #s(literal -1 binary64))))
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 4 binary64))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) z (/.f64 z (-.f64 y #s(literal -1 binary64))))
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
y
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x (+ 1 y))
(fma.f64 y x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(/ (+ x (* x y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ x (* x y))
(fma.f64 y x x)
(+ x (+ (* -1 (* x z)) (* x y)))
(fma.f64 (-.f64 y z) x x)
(+ x (+ (* -1 (* x z)) (* x y)))
(fma.f64 (-.f64 y z) x x)
(+ x (+ (* -1 (* x z)) (* x y)))
(fma.f64 (-.f64 y z) x x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
-1
#s(literal -1 binary64)
(- (* -1 (/ (+ 1 y) z)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) z))
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z))))
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64))))
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2))))))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) z) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) z) (-.f64 y #s(literal -1 binary64))) z) #s(literal 1 binary64))
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(fma.f64 (-.f64 y z) x x)
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(fma.f64 (-.f64 y z) x x)
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(fma.f64 (-.f64 y z) x x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
-1
#s(literal -1 binary64)
(- (* -1 (/ (+ 1 y) z)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) z))
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64))))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) z) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) z) (-.f64 y #s(literal -1 binary64))) z) #s(literal 1 binary64))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 (-.f64 y z) x x)
(/ (* x (- 1 z)) z)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ z (- 1 z))
(/.f64 z (-.f64 #s(literal 1 binary64) z))
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ z (- 1 z)))
(fma.f64 (neg.f64 y) (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 z (-.f64 #s(literal 1 binary64) z)))
(+ (* y (- (/ (* y z) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(fma.f64 (*.f64 (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))) y (/.f64 z (-.f64 #s(literal 1 binary64) z)))
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- 1 z) 4))) (* -1 (/ z (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (neg.f64 y) (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))) y (/.f64 (neg.f64 z) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) y (/.f64 z (-.f64 #s(literal 1 binary64) z)))
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(/ (* x (- 1 z)) z)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
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(* x (+ 1 y))
(fma.f64 y x x)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* x (- (* -1 (- y z)) 1)))
(fma.f64 (-.f64 y z) x x)
(* -1 (* x (- (* -1 (- y z)) 1)))
(fma.f64 (-.f64 y z) x x)
(* -1 (* x (- (* -1 (- y z)) 1)))
(fma.f64 (-.f64 y z) x x)
(* -1 (* x (- (* -1 (- y z)) 1)))
(fma.f64 (-.f64 y z) x x)

rewrite159.0ms (2.2%)

Memory
-2.2MiB live, 154.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023105
036102
1156100
21064100
08613100
Stop Event
iter limit
node limit
iter limit
Counts
14 → 984
Calls
Call 1
Inputs
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))
(/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(-.f64 y z)
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(neg.f64 x)
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
(fma.f64 y x x)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(fma.f64 (-.f64 y z) x x)
Outputs
#<batchref>
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eval179.0ms (2.5%)

Memory
18.5MiB live, 328.1MiB allocated
Compiler

Compiled 23 329 to 2 286 computations (90.2% saved)

prune38.0ms (0.5%)

Memory
10.6MiB live, 93.0MiB allocated
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1 46451 469
Fresh325
Picked145
Done000
Total1 468111 479
Accuracy
100.0%
Counts
1 479 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.4%
(/.f64 (fma.f64 (-.f64 y z) x x) z)
55.9%
(/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z)
38.4%
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z)
58.7%
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
58.7%
(/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z)
36.6%
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))
89.5%
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
64.5%
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
35.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
41.0%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
40.3%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Compiler

Compiled 122 to 115 computations (5.7% saved)

simplify189.0ms (2.7%)

Memory
-22.0MiB live, 54.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x))
cost-diff0
(/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z)
cost-diff128
(+.f64 (*.f64 y x) x)
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (+ (* (- y z) x) x) (*.f64 y x))
cost-diff0
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z)
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) x)
cost-diff0
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
cost-diff0
(/.f64 x z)
cost-diff0
(-.f64 (/.f64 x z) x)
cost-diff0
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
cost-diff0
(-.f64 y z)
cost-diff0
(-.f64 (-.f64 y z) #s(literal -1 binary64))
cost-diff0
(/.f64 x z)
cost-diff128
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026144
037144
170144
2110144
3244144
4506144
51152144
62922144
74639144
85789144
96116144
106237144
116266144
127025144
137339144
147339144
157347144
167347144
08344134
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(/.f64 x z)
x
z
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(-.f64 y z)
y
#s(literal -1 binary64)
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 x z) x)
(/.f64 x z)
x
z
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z)
#s(approx (+ (* (- y z) x) x) (*.f64 y x))
(*.f64 y x)
y
x
z
(/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z)
#s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x))
(+.f64 (*.f64 y x) x)
(*.f64 y x)
y
x
z
Outputs
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/.f64 x z)
x
z
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(-.f64 y z)
y
#s(literal -1 binary64)
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 x z) x)
(/.f64 x z)
x
z
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z)
#s(approx (+ (* (- y z) x) x) (*.f64 y x))
(*.f64 y x)
y
x
z
(/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z)
(/.f64 #s(approx (+ (* (- y z) x) x) (fma.f64 y x x)) z)
#s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x))
#s(approx (+ (* (- y z) x) x) (fma.f64 y x x))
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(*.f64 y x)
y
x
z

localize70.0ms (1%)

Memory
-9.3MiB live, 81.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y x)
accuracy0.01171875
(+.f64 (*.f64 y x) x)
accuracy8.04611208085523
(/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z)
accuracy23.803673153726653
#s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x))
accuracy0
(*.f64 y x)
accuracy8.04611208085523
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z)
accuracy37.30641201737908
#s(approx (+ (* (- y z) x) x) (*.f64 y x))
accuracy0
(/.f64 y z)
accuracy5.740769767434098
(*.f64 (/.f64 y z) x)
accuracy37.88374278185192
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
accuracy0
(/.f64 x z)
accuracy0.01171875
(-.f64 (/.f64 x z) x)
accuracy22.689324371515564
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
accuracy0
(/.f64 x z)
accuracy0
(-.f64 (-.f64 y z) #s(literal -1 binary64))
accuracy0
(-.f64 y z)
accuracy6.711691522130774
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
Samples
56.0ms256×0valid
Compiler

Compiled 212 to 41 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-add: 22.0ms (51.9% of total)
ival-div: 9.0ms (21.2% of total)
ival-mult: 8.0ms (18.9% of total)
ival-sub: 4.0ms (9.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.4%)

Memory
-0.0MiB live, 38.2MiB allocated
Counts
15 → 456
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- y z) x) x) (*.f64 y x)) (patch #s(approx (+ (* (- y z) x) x) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 y x) x) (patch (+.f64 (*.f64 y x) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z) #<representation binary64>) () ())
#s(alt #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) (patch #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))) #<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 (+ 1 y) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* x y)) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x z)) (* x y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x z)) (* x y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x z)) (* x y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) (patch (/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* (- y z) x) x) (*.f64 y x)) (patch #s(approx (+ (* (- y z) x) x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x z)) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (* (- y z) x) x) (*.f64 y x)) (patch #s(approx (+ (* (- y z) x) x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x z)) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (* (- y z) x) x) (*.f64 y x)) (patch #s(approx (+ (* (- y z) x) x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x z)) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (* (- y z) x) x) (*.f64 y x)) (patch #s(approx (+ (* (- y z) x) x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (- y z) x) x) (*.f64 y x)) (patch #s(approx (+ (* (- y z) x) x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (+.f64 (*.f64 y x) x) (patch (+.f64 (*.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (+.f64 (*.f64 y x) x) (patch (+.f64 (*.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (+.f64 (*.f64 y x) x) (patch (+.f64 (*.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (+.f64 (*.f64 y x) x) (patch (+.f64 (*.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) (patch #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) (patch #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) (patch #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) (patch #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify107.0ms (1.5%)

Memory
-3.8MiB live, 111.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01393443
14502785
213882733
340082733
471832733
080482495
Stop Event
iter limit
node limit
Counts
456 → 450
Calls
Call 1
Inputs
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* -1 (* x z))) z)
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (+ x (* x y)) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(+ x (* x y))
(+ x (+ (* -1 (* x z)) (* x y)))
(+ x (+ (* -1 (* x z)) (* x y)))
(+ x (+ (* -1 (* x z)) (* x y)))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(* x (+ 1 y))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* -1 z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 x)
(- (/ x z) x)
(- (/ x z) x)
(- (/ x z) x)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -1 x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(* -1 (* x z))
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 x)
(- (/ x z) x)
(- (/ x z) x)
(- (/ x z) x)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -1 x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(- 1 z)
(- (+ 1 y) z)
(- (+ 1 y) z)
(- (+ 1 y) z)
(* -1 z)
(- y z)
(- y z)
(- y z)
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (+ x (* -1 (* x z))) z)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x y)))
(+ x (+ (* -1 (* x z)) (* x y)))
(+ x (+ (* -1 (* x z)) (* x y)))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* x y))
(+ x (* x y))
(+ x (* x y))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
(+ (* x y) (* x (- 1 z)))
(+ (* x y) (* x (- 1 z)))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(* x y)
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* x y)
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ (* x (- 1 z)) y)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
y
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
y
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(* -1 (* x (- (* -1 (- y z)) 1)))
(* -1 (* x (- (* -1 (- y z)) 1)))
(* -1 (* x (- (* -1 (- y z)) 1)))
(* -1 (* x (- (* -1 (- y z)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
Outputs
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
y
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ x z)
(/.f64 x z)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (+ x (* x y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ x (* x y))
(fma.f64 y x x)
(+ x (+ (* -1 (* x z)) (* x y)))
(fma.f64 (-.f64 y z) x x)
(+ x (+ (* -1 (* x z)) (* x y)))
(fma.f64 (-.f64 y z) x x)
(+ x (+ (* -1 (* x z)) (* x y)))
(fma.f64 (-.f64 y z) x x)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x (+ 1 y))
(fma.f64 y x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 x)
(neg.f64 x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(fma.f64 (-.f64 y z) x x)
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(fma.f64 (-.f64 y z) x x)
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(fma.f64 (-.f64 y z) x x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 x)
(neg.f64 x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ x (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ x (+ (* -1 (* x z)) (* x y)))
(fma.f64 (-.f64 y z) x x)
(+ x (+ (* -1 (* x z)) (* x y)))
(fma.f64 (-.f64 y z) x x)
(+ x (+ (* -1 (* x z)) (* x y)))
(fma.f64 (-.f64 y z) x x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* x y))
(fma.f64 y x x)
(+ x (* x y))
(fma.f64 y x x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
y
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x y)
(*.f64 y x)
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
(fma.f64 (-.f64 y z) x x)
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
(fma.f64 (-.f64 y z) x x)
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
(fma.f64 (-.f64 y z) x x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x y)
(*.f64 y x)
(* y (+ x (/ (* x (- 1 z)) y)))
(fma.f64 (-.f64 y z) x x)
(* y (+ x (/ (* x (- 1 z)) y)))
(fma.f64 (-.f64 y z) x x)
(* y (+ x (/ (* x (- 1 z)) y)))
(fma.f64 (-.f64 y z) x x)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
y
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
y
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
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rewrite150.0ms (2.1%)

Memory
31.4MiB live, 182.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026123
037123
1161123
21191123
08552113
Stop Event
iter limit
node limit
iter limit
Counts
15 → 492
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(/.f64 x z)
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(-.f64 y z)
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 x z) x)
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z)
#s(approx (+ (* (- y z) x) x) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z)
#s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x))
Outputs
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eval125.0ms (1.7%)

Memory
-3.8MiB live, 226.1MiB allocated
Compiler

Compiled 13 986 to 1 567 computations (88.8% saved)

prune57.0ms (0.8%)

Memory
-20.3MiB live, 87.7MiB allocated
Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New1 00921 011
Fresh022
Picked055
Done044
Total1 009131 022
Accuracy
100.0%
Counts
1 022 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.4%
(/.f64 (fma.f64 (-.f64 y z) x x) z)
55.9%
(/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z)
38.4%
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z)
58.7%
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
58.7%
(/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z)
36.6%
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))
89.5%
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
59.5%
(*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))
64.5%
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
35.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
41.0%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
40.3%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
26.6%
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
Compiler

Compiled 86 to 83 computations (3.5% saved)

simplify216.0ms (3%)

Memory
21.3MiB live, 98.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
026125
035125
167125
2114125
3260125
4539125
51241125
63195125
75412125
86756125
96982125
107043125
117084125
08144124
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
#s(approx (- (/ x z) x) (/.f64 x z))
(/.f64 x z)
x
z
(*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))
(/.f64 x z)
x
z
#s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))
(-.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))
x
#s(approx (/ z (- (- y z) -1)) (/.f64 z y))
(/.f64 z y)
z
y
(/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z)
(fma.f64 #s(approx (- y z) (neg.f64 z)) x x)
#s(approx (- y z) (neg.f64 z))
(neg.f64 z)
z
x
Outputs
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
#s(approx (- (/ x z) x) (/.f64 x z))
(/.f64 x z)
x
z
(*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))
(*.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) (/.f64 x z))
(/.f64 x z)
x
z
#s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))
(-.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))
x
#s(approx (/ z (- (- y z) -1)) (/.f64 z y))
(/.f64 z y)
z
y
(/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z)
(fma.f64 #s(approx (- y z) (neg.f64 z)) x x)
#s(approx (- y z) (neg.f64 z))
(neg.f64 z)
z
x

localize125.0ms (1.8%)

Memory
-12.5MiB live, 102.2MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 #s(approx (- y z) (neg.f64 z)) x x)
accuracy0
(neg.f64 z)
accuracy8.04611208085523
(/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z)
accuracy30.407477699611764
#s(approx (- y z) (neg.f64 z))
accuracy0
(/.f64 z y)
accuracy2.6915688790540147
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))
accuracy38.80232681059108
#s(approx (/ z (- (- y z) -1)) (/.f64 z y))
accuracy0
(/.f64 x z)
accuracy0
(-.f64 y #s(literal -1 binary64))
accuracy6.711691522130774
(*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))
accuracy25.285409533517324
#s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))
accuracy0
(/.f64 x z)
accuracy22.689324371515564
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
accuracy32.32958991419336
#s(approx (- (/ x z) x) (/.f64 x z))
Samples
91.0ms256×0valid
Compiler

Compiled 163 to 40 computations (75.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-add: 43.0ms (67.6% of total)
ival-div: 10.0ms (15.7% of total)
ival-sub: 5.0ms (7.9% of total)
ival-mult: 5.0ms (7.9% of total)
ival-neg: 1.0ms (1.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
27.9MiB live, 27.9MiB allocated
Counts
13 → 348
Calls
Call 1
Inputs
#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) (patch #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 y #s(literal -1 binary64)) (patch (-.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) #<representation binary64>) () ())
#s(alt #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) (patch #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) #<representation binary64>) () ())
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) (patch (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) #<representation binary64>) () ())
#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
Outputs
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 z) (#s(alt #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) (patch #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) (patch #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) (patch #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) (patch #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ z (+ 1 y)) (taylor 0 z) (#s(alt #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) (patch #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))) (taylor 0 z) (#s(alt #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) (patch #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))) (taylor 0 z) (#s(alt #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) (patch #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))) (taylor 0 z) (#s(alt #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) (patch #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* x y)) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) (patch (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x z)) (* x y))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) (patch (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x z)) (* x y))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) (patch (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ (* -1 (* x z)) (* x y))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) (patch (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 z) (#s(alt (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) #<representation binary64>) () ())) ())
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#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) (patch (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) (patch (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.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 (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) (patch (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) (patch (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) (patch (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) (patch (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify307.0ms (4.3%)

Memory
-16.6MiB live, 227.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02322886
17272422
222632323
371222323
080132154
Stop Event
iter limit
node limit
Counts
348 → 341
Calls
Call 1
Inputs
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* -1 (* x z))) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ z (+ 1 y))
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2))))
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y))))
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (+ x (* x y)) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(+ x (* x y))
(+ x (+ (* -1 (* x z)) (* x y)))
(+ x (+ (* -1 (* x z)) (* x y)))
(+ x (+ (* -1 (* x z)) (* x y)))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 x)
(- (/ x z) x)
(- (/ x z) x)
(- (/ x z) x)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
-1
(- (* -1 (/ (+ 1 y) z)) 1)
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z))))
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2))))))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* -1 x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(* -1 (* x z))
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 x)
(- (/ x z) x)
(- (/ x z) x)
(- (/ x z) x)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
-1
(- (* -1 (/ (+ 1 y) z)) 1)
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* -1 x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(- 1 z)
(- (+ 1 y) z)
(- (+ 1 y) z)
(- (+ 1 y) z)
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ z (- 1 z))
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ z (- 1 z)))
(+ (* y (- (/ (* y z) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- 1 z) 4))) (* -1 (/ z (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (+ x (* -1 (* x z))) z)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x y)))
(+ x (+ (* -1 (* x z)) (* x y)))
(+ x (+ (* -1 (* x z)) (* x y)))
(* -1 z)
(- y z)
(- y z)
(- y z)
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ z y)
(/ (+ z (* -1 (/ (* z (- 1 z)) y))) y)
(/ (- (+ z (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y)) y)
(/ (- (+ z (* -1 (/ (* z (pow (- 1 z) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y))) y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (* x y) z)
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(* x y)
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
y
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/ z y)
(* -1 (/ (+ (* -1 z) (/ (* z (- 1 z)) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y)))))
y
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(* -1 (* x (- (* -1 (- y z)) 1)))
(* -1 (* x (- (* -1 (- y z)) 1)))
(* -1 (* x (- (* -1 (- y z)) 1)))
(* -1 (* x (- (* -1 (- y z)) 1)))
Outputs
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(/ x z)
(/.f64 x z)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(/ z (+ 1 y))
(/.f64 z (-.f64 y #s(literal -1 binary64)))
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2))))
(fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) z (/.f64 z (-.f64 y #s(literal -1 binary64))))
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y))))
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) z (/.f64 z (-.f64 y #s(literal -1 binary64))))
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 4 binary64))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) z (/.f64 z (-.f64 y #s(literal -1 binary64))))
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ (+ x (* x y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ x (* x y))
(fma.f64 y x x)
(+ x (+ (* -1 (* x z)) (* x y)))
(fma.f64 (-.f64 y z) x x)
(+ x (+ (* -1 (* x z)) (* x y)))
(fma.f64 (-.f64 y z) x x)
(+ x (+ (* -1 (* x z)) (* x y)))
(fma.f64 (-.f64 y z) x x)
y
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* -1 x)
(neg.f64 x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
-1
#s(literal -1 binary64)
(- (* -1 (/ (+ 1 y) z)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) z))
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z))))
(-.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 (/.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) z) z) (/.f64 y z)))
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2))))))
(-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) z) z) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(*.f64 (-.f64 (/.f64 (fma.f64 y x x) z) x) z)
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(*.f64 (-.f64 (/.f64 (fma.f64 y x x) z) x) z)
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(*.f64 (-.f64 (/.f64 (fma.f64 y x x) z) x) z)
(* -1 z)
(neg.f64 z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* -1 x)
(neg.f64 x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
-1
#s(literal -1 binary64)
(- (* -1 (/ (+ 1 y) z)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) z))
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64))))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) z) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) z) (-.f64 y #s(literal -1 binary64))) z) #s(literal 1 binary64))
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(*.f64 (-.f64 (/.f64 (fma.f64 y x x) z) x) z)
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(*.f64 (-.f64 (/.f64 (fma.f64 y x x) z) x) z)
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(*.f64 (-.f64 (/.f64 (fma.f64 y x x) z) x) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
1
#s(literal 1 binary64)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(/ z (- 1 z))
(/.f64 z (-.f64 #s(literal 1 binary64) z))
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ z (- 1 z)))
(fma.f64 (neg.f64 y) (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 z (-.f64 #s(literal 1 binary64) z)))
(+ (* y (- (/ (* y z) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(fma.f64 (*.f64 (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))) y (/.f64 z (-.f64 #s(literal 1 binary64) z)))
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- 1 z) 4))) (* -1 (/ z (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (neg.f64 y) (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))) y (/.f64 (neg.f64 z) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) y (/.f64 z (-.f64 #s(literal 1 binary64) z)))
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(+ x (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ x (+ (* -1 (* x z)) (* x y)))
(fma.f64 (-.f64 y z) x x)
(+ x (+ (* -1 (* x z)) (* x y)))
(fma.f64 (-.f64 y z) x x)
(+ x (+ (* -1 (* x z)) (* x y)))
(fma.f64 (-.f64 y z) x x)
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
y
(* y (+ 1 (/ 1 y)))
(-.f64 y #s(literal -1 binary64))
(* y (+ 1 (/ 1 y)))
(-.f64 y #s(literal -1 binary64))
(* y (+ 1 (/ 1 y)))
(-.f64 y #s(literal -1 binary64))
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(/ z y)
(/.f64 z y)
(/ (+ z (* -1 (/ (* z (- 1 z)) y))) y)
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 z y) z) y)
(/ (- (+ z (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y)) y)
(/.f64 (fma.f64 (/.f64 z y) (-.f64 (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) y) z) #s(literal 1 binary64)) z) y)
(/ (- (+ z (* -1 (/ (* z (pow (- 1 z) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y))) y)
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(-.f64 (/.f64 (fma.f64 y x x) z) x)
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(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* x y)
(*.f64 y x)
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(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x x) y)
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(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x x) y)
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(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x x) y)
y
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(-.f64 y z)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
y
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
y
(* y (+ 1 (/ 1 y)))
(-.f64 y #s(literal -1 binary64))
(* y (+ 1 (/ 1 y)))
(-.f64 y #s(literal -1 binary64))
(* y (+ 1 (/ 1 y)))
(-.f64 y #s(literal -1 binary64))
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(/ z y)
(/.f64 z y)
(* -1 (/ (+ (* -1 z) (/ (* z (- 1 z)) y)) y))
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 z y) z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y))
(/.f64 (fma.f64 (/.f64 z y) (-.f64 (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) y) z) #s(literal 1 binary64)) z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64))) z (fma.f64 (/.f64 z y) (-.f64 (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) y) z) #s(literal 1 binary64)) z)) y)
(/ z y)
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(/ z y)
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(/ (* x y) z)
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(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x x) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x x) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x x) y)
y
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(/ (* x (- (+ 1 y) z)) z)
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(/ (* x (- (+ 1 y) z)) z)
(-.f64 (/.f64 (fma.f64 y x x) z) x)
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(-.f64 (/.f64 (fma.f64 y x x) z) x)
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(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
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(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(/ x z)
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(-.f64 (/.f64 (fma.f64 y x x) z) x)
(/ (* x (- (+ 1 y) z)) z)
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(* -1 (* x (- (* -1 (- y z)) 1)))
(fma.f64 (-.f64 y z) x x)
(* -1 (* x (- (* -1 (- y z)) 1)))
(fma.f64 (-.f64 y z) x x)
(* -1 (* x (- (* -1 (- y z)) 1)))
(fma.f64 (-.f64 y z) x x)
(* -1 (* x (- (* -1 (- y z)) 1)))
(fma.f64 (-.f64 y z) x x)

rewrite156.0ms (2.2%)

Memory
-30.4MiB live, 177.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026111
035111
1163111
21199111
08552110
Stop Event
iter limit
node limit
iter limit
Counts
13 → 265
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
#s(approx (- (/ x z) x) (/.f64 x z))
(/.f64 x z)
(*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))
#s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))
(-.f64 y #s(literal -1 binary64))
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))
#s(approx (/ z (- (- y z) -1)) (/.f64 z y))
(/.f64 z y)
(/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z)
(fma.f64 #s(approx (- y z) (neg.f64 z)) x x)
#s(approx (- y z) (neg.f64 z))
(neg.f64 z)
Outputs
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eval86.0ms (1.2%)

Memory
37.0MiB live, 192.2MiB allocated
Compiler

Compiled 7 840 to 997 computations (87.3% saved)

prune38.0ms (0.5%)

Memory
-9.6MiB live, 67.2MiB allocated
Pruning

14 alts after pruning (1 fresh and 13 done)

PrunedKeptTotal
New6531654
Fresh000
Picked044
Done099
Total65314667
Accuracy
100.0%
Counts
667 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.4%
(/.f64 (fma.f64 (-.f64 y z) x x) z)
55.9%
(/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z)
38.4%
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z)
58.7%
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
58.7%
(/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z)
36.6%
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))
89.5%
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
59.5%
(*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))
95.1%
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 (fma.f64 y x x) z) x))
64.5%
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
35.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
41.0%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
40.3%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
26.6%
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
Compiler

Compiled 231 to 147 computations (36.4% saved)

regimes81.0ms (1.1%)

Memory
3.0MiB live, 48.8MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
(*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))
(/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z)
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z)
(/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z)
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 (fma.f64 y x x) z) x))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))
Outputs
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 (fma.f64 y x x) z) x))
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))
Calls

4 calls:

62.0ms
z
6.0ms
x
6.0ms
y
6.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
99.9%2x
95.8%1y
99.9%3z
98.7%2(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.1%)

Memory
-24.4MiB live, 12.8MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
(*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))
(/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z)
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z)
(/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z)
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 (fma.f64 y x x) z) x))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Outputs
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 (fma.f64 y x x) z) x))
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
99.9%2x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
(*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))
(/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z)
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z)
(/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z)
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 (fma.f64 y x x) z) x))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
Outputs
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.9%2x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes22.0ms (0.3%)

Memory
3.6MiB live, 40.9MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
(*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))
(/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z)
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z)
(/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z)
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 (fma.f64 y x x) z) x))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
Outputs
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 (fma.f64 y x x) z) x))
Calls

4 calls:

7.0ms
z
5.0ms
x
5.0ms
y
4.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
95.1%1y
95.1%1z
95.1%1(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
95.1%1x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes19.0ms (0.3%)

Memory
4.1MiB live, 42.7MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
(*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))
(/.f64 #s(approx (* x (+ (- y z) 1)) (+.f64 (*.f64 y x) x)) z)
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z)
(/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x x) z)
Outputs
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
Calls

4 calls:

6.0ms
y
4.0ms
z
4.0ms
x
4.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
68.2%2x
88.3%3y
88.0%3z
86.6%2(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes8.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
Outputs
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
Calls

4 calls:

2.0ms
z
2.0ms
y
2.0ms
x
2.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
64.5%1x
64.5%1z
64.5%1(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
64.5%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes9.0ms (0.1%)

Memory
-33.4MiB live, 11.5MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
Outputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Calls

4 calls:

3.0ms
z
2.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
44.2%3y
53.9%2(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
42.2%2x
63.3%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
y
1.0ms
x
1.0ms
z
1.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
40.3%1x
40.3%1y
40.3%1(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
40.3%1z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch11.0ms (0.1%)

Memory
-19.9MiB live, 19.1MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
8.0ms
1.4387447312461328e+35
2.0456209984289285e+36
Samples
5.0ms96×0valid
Compiler

Compiled 120 to 116 computations (3.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (41.3% of total)
ival-div: 1.0ms (41.3% of total)
ival-mult: 1.0ms (41.3% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
4.0ms
1.6634640890323067e+38
6.957510503486699e+42
Samples
2.0ms48×0valid
Compiler

Compiled 66 to 65 computations (1.5% saved)

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

bsearch11.0ms (0.2%)

Memory
19.7MiB live, 19.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
1.646210134365305e-60
5.335483816543161e-59
Samples
5.0ms112×0valid
Compiler

Compiled 131 to 126 computations (3.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (35.3% of total)
ival-div: 1.0ms (35.3% of total)
ival-add: 1.0ms (35.3% of total)
ival-mult: 1.0ms (35.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch123.0ms (1.7%)

Memory
-23.7MiB live, 52.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
5.25646033769504e+102
5.5227166366186864e+125
14.0ms
-9.084457199591571e+76
-2.150878766092875e+68
Samples
16.0ms320×0valid
Compiler

Compiled 252 to 294 computations (-16.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 2.0ms (24.9% of total)
ival-div: 2.0ms (24.9% of total)
ival-mult: 2.0ms (24.9% of total)
ival-add: 1.0ms (12.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.3%)

Memory
21.7MiB live, 21.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
0.8939796599546915
2.0257673695213656
14.0ms
-66464089435261480.0
-0.025848989286225924
Samples
12.0ms240×0valid
Compiler

Compiled 132 to 209 computations (-58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (33.5% of total)
ival-mult: 2.0ms (33.5% of total)
ival-sub: 1.0ms (16.8% of total)
ival-add: 1.0ms (16.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify79.0ms (1.1%)

Memory
0.9MiB live, 50.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055207
192207
2130207
3253207
4503207
51077207
62423207
73934207
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 199999999999999993726732215835951104 binary64)) #s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 (fma.f64 y x x) z) x)) (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal 199999999999999995497619646912068059136 binary64)) #s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 (fma.f64 y x x) z) x)) (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x))
(if (<=.f64 x #s(literal 5880067031582463/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))))
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 (fma.f64 y x x) z) x))
(if (<=.f64 y #s(literal -500000000000000036265718190764617563079187204823260977759105077739520 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 47999999999999996909083691092629589543919457969075839892415203597744815942822008169918554084979052118016 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))))
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Outputs
(if (<=.f64 x #s(literal 199999999999999993726732215835951104 binary64)) #s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 (fma.f64 y x x) z) x)) (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal 199999999999999993726732215835951104 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 (fma.f64 y x x) z) x)) (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal 199999999999999995497619646912068059136 binary64)) #s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 (fma.f64 y x x) z) x)) (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x))
(if (<=.f64 x #s(literal 199999999999999995497619646912068059136 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 (fma.f64 y x x) z) x)) (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x))
(if (<=.f64 x #s(literal 5880067031582463/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))))
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 (fma.f64 y x x) z) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 (fma.f64 y x x) z) x))
(if (<=.f64 y #s(literal -500000000000000036265718190764617563079187204823260977759105077739520 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 47999999999999996909083691092629589543919457969075839892415203597744815942822008169918554084979052118016 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))))
(if (or (<=.f64 y #s(literal -500000000000000036265718190764617563079187204823260977759105077739520 binary64)) (not (<=.f64 y #s(literal 47999999999999996909083691092629589543919457969075839892415203597744815942822008169918554084979052118016 binary64)))) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))))
(if (or (<=.f64 z #s(literal -1 binary64)) (not (<=.f64 z #s(literal 1 binary64)))) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))))
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))

soundness1.2s (16.8%)

Memory
14.6MiB live, 716.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02473752
17913218
224323132
373003113
081922894
01393443
14502785
213882733
340082733
471832733
080482495
02322886
17272422
222632323
371222323
080132154
082877
1263697
2815697
32546696
46154695
08196633
0824
01224
15924
245224
3747124
0856622
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 315 to 187 computations (40.6% saved)

preprocess187.0ms (2.6%)

Memory
-20.4MiB live, 260.5MiB allocated
Compiler

Compiled 422 to 210 computations (50.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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