Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, A

Time bar (total: 6.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze114.0ms (1.7%)

Memory
-11.4MiB live, 152.1MiB 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
25%25%74.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
56.3%56.2%43.7%0.1%0%0%0%8
56.3%56.2%43.7%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
76.6%76.5%23.4%0.1%0%0%0%11
76.6%76.5%23.4%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (20.3%)

Memory
19.8MiB live, 1 454.9MiB allocated
Samples
1.0s8 254×0valid
0.0ms3valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 668.0ms
ival-div: 376.0ms (56.3% of total)
ival-sub: 139.0ms (20.8% of total)
ival-add: 137.0ms (20.5% of total)
ival-true: 6.0ms (0.9% of total)
exact: 5.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain173.0ms (2.6%)

Memory
4.6MiB live, 284.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
360-0-(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
00-0-(-.f64 #s(literal 1 binary64) (/.f64 y z))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(+.f64 x y)
00-0-z
00-0-x
00-0-(/.f64 y z)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))n/o360
(/.f64 y z)overflow36
(-.f64 #s(literal 1 binary64) (/.f64 y z))overflow36
Confusion
Predicted +Predicted -
+360
-0220
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3600
-00220
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0220
136
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
35.0ms512×0valid
Compiler

Compiled 133 to 58 computations (56.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 8.0ms (44.6% of total)
ival-add: 7.0ms (39.1% of total)
ival-sub: 3.0ms (16.7% of total)
ival-true: 1.0ms (5.6% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess127.0ms (1.9%)

Memory
-24.2MiB live, 97.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03490
18382
216081
336181
4110481
5205881
6276981
7334581
8348481
9354281
10357881
11360681
12360681
089
0129
1179
2259
3349
4509
5669
6879
71159
81539
92129
103439
114519
126329
137809
148539
158949
168969
179009
09009
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Outputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.7%
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify29.0ms (0.4%)

Memory
-4.9MiB live, 33.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01224
11724
22524
33424
45024
56624
68724
711524
815324
921224
1034324
1145124
1263224
1378024
1485324
1589424
1689624
1790024
090024
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
z
Outputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 x y)
(+.f64 y x)
x
y
(-.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
z

localize23.0ms (0.3%)

Memory
27.7MiB live, 65.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y z)
accuracy0
(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy0
(+.f64 x y)
accuracy8.538064664735414
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Samples
17.0ms256×0valid
Compiler

Compiled 50 to 18 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (45% of total)
ival-add: 2.0ms (30% of total)
ival-sub: 1.0ms (15% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory
-21.5MiB live, 27.1MiB allocated
Counts
4 → 108
Calls
Call 1
Inputs
#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- z y) z) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- z y) z) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- z y) z) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.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 (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (/ (* y (+ x y)) z))) (taylor inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) (taylor inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) (taylor inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y z))) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y z))) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y z))) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor -inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (/ (* y (+ x y)) z))) (taylor -inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) (taylor -inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) (taylor -inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 (* -1 (/ x z))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y z))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y z))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y z))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.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 (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y z)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (/ 1 z))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (/ 1 z))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (/ 1 z))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y z)) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ 1 z) (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ 1 z) (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ 1 z) (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y (- 1 (/ y z))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 (/ y z))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
12.0ms
z
@0
((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z))
2.0ms
y
@inf
((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z))
1.0ms
y
@-inf
((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z))
1.0ms
z
@-inf
((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z))
1.0ms
z
@inf
((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z))

simplify211.0ms (3.1%)

Memory
4.2MiB live, 235.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0181958
1589915
21844852
37144833
08245790
Stop Event
iter limit
node limit
Counts
108 → 101
Calls
Call 1
Inputs
(* -1 (/ (* z (+ x y)) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* -1 (/ y z))
(/ (- z y) z)
(/ (- z y) z)
(/ (- z y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z))))
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z))))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
x
(+ x (* y (- 1 (* -1 (/ x z)))))
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z)))))
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z)))))
x
(+ x y)
(+ x y)
(+ x y)
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -1 z)
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y)))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* -1 (/ y z))
(* y (- (/ 1 y) (/ 1 z)))
(* y (- (/ 1 y) (/ 1 z)))
(* y (- (/ 1 y) (/ 1 z)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -1 z)
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y)))
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y)))
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (/ y z))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y (- 1 (/ y z)))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
y
(+ x y)
(+ x y)
(+ x y)
(/ x (- 1 (/ y z)))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(/ x (- 1 (/ y z)))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
Outputs
(* -1 (/ (* z (+ x y)) y))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (fma.f64 (/.f64 z y) (/.f64 x y) (/.f64 z y))) z)
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z)
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) z (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z)
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(/ (- z y) z)
(/.f64 (-.f64 z y) z)
(/ (- z y) z)
(/.f64 (-.f64 z y) z)
(/ (- z y) z)
(/.f64 (-.f64 z y) z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(+ x y)
(+.f64 y x)
(+ x (+ y (/ (* y (+ x y)) z)))
(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x))
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
(fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 y x) (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(/.f64 (-.f64 z y) z)
(+ 1 (* -1 (/ y z)))
(/.f64 (-.f64 z y) z)
(+ 1 (* -1 (/ y z)))
(/.f64 (-.f64 z y) z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(+ x y)
(+.f64 y x)
(+ x (+ y (/ (* y (+ x y)) z)))
(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z))))
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x))
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z))))
(fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 y x) (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(/.f64 (-.f64 z y) z)
(+ 1 (* -1 (/ y z)))
(/.f64 (-.f64 z y) z)
(+ 1 (* -1 (/ y z)))
(/.f64 (-.f64 z y) z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
x
(+ x (* y (- 1 (* -1 (/ x z)))))
(+.f64 y (fma.f64 (/.f64 x z) y x))
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z)))))
(fma.f64 (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 y z) (+.f64 (/.f64 x z) #s(literal 1 binary64))) y x)
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z)))))
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)) y (+.f64 (/.f64 x z) #s(literal 1 binary64))) y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(/.f64 (-.f64 z y) z)
(+ 1 (* -1 (/ y z)))
(/.f64 (-.f64 z y) z)
(+ 1 (* -1 (/ y z)))
(/.f64 (-.f64 z y) z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(* -1 z)
(neg.f64 z)
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y))
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y))
(fma.f64 (/.f64 z y) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y)))
(neg.f64 (+.f64 (/.f64 (fma.f64 z (+.f64 z x) (/.f64 (*.f64 (*.f64 z (+.f64 z x)) (fma.f64 (/.f64 z y) z z)) y)) y) z))
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(* y (- (/ 1 y) (/ 1 z)))
(/.f64 (-.f64 z y) z)
(* y (- (/ 1 y) (/ 1 z)))
(/.f64 (-.f64 z y) z)
(* y (- (/ 1 y) (/ 1 z)))
(/.f64 (-.f64 z y) z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y)))
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y)))
(-.f64 (/.f64 (*.f64 z (+.f64 (+.f64 (/.f64 (*.f64 z (+.f64 z x)) y) x) z)) (neg.f64 y)) z)
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y)))
(neg.f64 (+.f64 (/.f64 (fma.f64 z (+.f64 z x) (/.f64 (*.f64 (*.f64 z (+.f64 z x)) (fma.f64 (/.f64 z y) z z)) y)) y) z))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(/.f64 (-.f64 z y) z)
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(/.f64 (-.f64 z y) z)
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(/.f64 (-.f64 z y) z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y (- 1 (/ y z)))
(/.f64 y (/.f64 (-.f64 z y) z))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(fma.f64 (/.f64 y (-.f64 z y)) z (/.f64 x (/.f64 (-.f64 z y) z)))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(fma.f64 (/.f64 y (-.f64 z y)) z (/.f64 x (/.f64 (-.f64 z y) z)))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(fma.f64 (/.f64 y (-.f64 z y)) z (/.f64 x (/.f64 (-.f64 z y) z)))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(/ x (- 1 (/ y z)))
(/.f64 x (/.f64 (-.f64 z y) z))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (/.f64 (-.f64 z y) z)) x) x (/.f64 x (/.f64 (-.f64 z y) z)))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (/.f64 (-.f64 z y) z)) x) x (/.f64 x (/.f64 (-.f64 z y) z)))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (/.f64 (-.f64 z y) z)) x) x (/.f64 x (/.f64 (-.f64 z y) z)))
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(/ x (- 1 (/ y z)))
(/.f64 x (/.f64 (-.f64 z y) z))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (/.f64 (-.f64 z y) z)) x) x (/.f64 x (/.f64 (-.f64 z y) z)))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (/.f64 (-.f64 z y) z)) x) x (/.f64 x (/.f64 (-.f64 z y) z)))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (/.f64 (-.f64 z y) z)) x) x (/.f64 x (/.f64 (-.f64 z y) z)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)

rewrite128.0ms (1.9%)

Memory
-1.1MiB live, 156.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
01220
15620
243220
3770520
0802520
Stop Event
iter limit
node limit
iter limit
Counts
4 → 336
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 x y)
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 y z)
Outputs
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eval59.0ms (0.9%)

Memory
18.9MiB live, 140.0MiB allocated
Compiler

Compiled 8 965 to 1 012 computations (88.7% saved)

prune18.0ms (0.3%)

Memory
-21.0MiB live, 54.9MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New42512437
Fresh000
Picked011
Done000
Total42513438
Accuracy
100.0%
Counts
438 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.7%
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
69.1%
(/.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
49.1%
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 y x)))
86.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))
47.7%
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x)))
49.5%
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
40.4%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
49.0%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
45.5%
#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (/.f64 (*.f64 z (+.f64 (+.f64 (/.f64 (*.f64 z (+.f64 z x)) y) x) z)) (neg.f64 y)) z))
48.7%
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
49.6%
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
49.8%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
35.2%
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
Compiler

Compiled 275 to 214 computations (22.2% saved)

simplify173.0ms (2.6%)

Memory
-6.2MiB live, 124.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 z y)
cost-diff0
(/.f64 (-.f64 z y) z)
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
cost-diff384
(/.f64 y (/.f64 (-.f64 z y) z))
cost-diff0
(-.f64 (neg.f64 x) z)
cost-diff0
(/.f64 z y)
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
cost-diff128
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 #s(literal -1 binary64) (/.f64 x y))
cost-diff0
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
cost-diff0
(/.f64 y z)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 y z))
cost-diff384
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029164
046164
175164
2147162
3380160
4894160
52268160
64288160
75028160
85544160
95762160
105824160
116814160
127278160
137434160
08210160
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 y z)
y
z
(+.f64 y x)
x
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
(neg.f64 z)
z
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
#s(literal -1 binary64)
(/.f64 x y)
x
y
z
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))
(/.f64 z y)
z
y
(-.f64 (neg.f64 x) z)
(neg.f64 x)
x
(neg.f64 z)
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
(/.f64 y (/.f64 (-.f64 z y) z))
y
(/.f64 (-.f64 z y) z)
(-.f64 z y)
z
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))
(/.f64 (-.f64 z y) (*.f64 (+.f64 x y) z))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 y z)
y
z
(+.f64 y x)
(+.f64 x y)
x
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
(neg.f64 z)
z
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
#s(literal -1 binary64)
(/.f64 x y)
x
y
z
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) z))
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) z)
(/.f64 z y)
z
y
(-.f64 (neg.f64 x) z)
(neg.f64 x)
x
(neg.f64 z)
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) y))
(/.f64 y (/.f64 (-.f64 z y) z))
(*.f64 (/.f64 z (-.f64 z y)) y)
y
(/.f64 (-.f64 z y) z)
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(-.f64 z y)
z

localize78.0ms (1.2%)

Memory
10.9MiB live, 169.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 z y)
accuracy0.015625
(/.f64 (-.f64 z y) z)
accuracy8.48339999744424
(/.f64 y (/.f64 (-.f64 z y) z))
accuracy31.294221261561507
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
accuracy0
(neg.f64 z)
accuracy0
(neg.f64 x)
accuracy1.6960621399757418
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))
accuracy30.6881579319066
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
accuracy0
(/.f64 x y)
accuracy0.00390625
(-.f64 #s(literal -1 binary64) (/.f64 x y))
accuracy2.220671454515428
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
accuracy30.86834066656519
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
accuracy0
(neg.f64 z)
accuracy41.4788108842267
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
accuracy0
(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy0
(+.f64 y x)
accuracy0.19140625
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))
accuracy8.558676253487427
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))
Samples
61.0ms256×0valid
Compiler

Compiled 265 to 51 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 16.0ms (50.3% of total)
ival-sub: 5.0ms (15.7% of total)
ival-mult: 5.0ms (15.7% of total)
ival-add: 4.0ms (12.6% of total)
ival-neg: 2.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series47.0ms (0.7%)

Memory
14.4MiB live, 94.0MiB allocated
Counts
20 → 552
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal -1 binary64) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) #<representation binary64>) () ())
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())
#s(alt (/.f64 y (/.f64 (-.f64 z y) z)) (patch (/.f64 y (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 z y) z) (patch (/.f64 (-.f64 z y) z) #<representation binary64>) () ())
#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
Outputs
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#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (* z (+ x y)))) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (/ (- z y) z) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- z y) z) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- z y) z) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.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 (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (/ x y)))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (/ x y)))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (/ x y)))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (/ x y)))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* -1 (/ x y)) 1)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) #<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 (* -1 x) (taylor 0 z) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (- (* -1 z) x) (taylor 0 z) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (- (* -1 z) x) (taylor 0 z) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (- (* -1 z) x) (taylor 0 z) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 y (/.f64 (-.f64 z y) z)) (patch (/.f64 y (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* -1 (/ z y)) 1)) (taylor 0 z) (#s(alt (/.f64 y (/.f64 (-.f64 z y) z)) (patch (/.f64 y (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ())
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#s(alt (* z (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)) (taylor 0 z) (#s(alt (/.f64 y (/.f64 (-.f64 z y) z)) (patch (/.f64 y (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ())
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#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y z)) (taylor 0 z) (#s(alt (/.f64 (-.f64 z y) z) (patch (/.f64 (-.f64 z y) z) #<representation binary64>) () ())) ())
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#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 z y) z) (patch (/.f64 (-.f64 z y) z) #<representation binary64>) () ())) ())
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#s(alt (- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (/ z x) (/ z y)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (/ z x) (/ z y)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (/ z x) (/ z y)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal -1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal -1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal -1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal -1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y 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>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
6.0ms
z
@inf
((/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (/ y (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x) (neg x))
5.0ms
y
@inf
((/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (/ y (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x) (neg x))
5.0ms
x
@inf
((/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (/ y (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x) (neg x))
4.0ms
z
@0
((/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (/ y (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x) (neg x))
3.0ms
y
@-inf
((/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (/ y (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x) (neg x))

simplify282.0ms (4.2%)

Memory
-1.1MiB live, 231.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04826161
115235840
245995574
082225353
Stop Event
iter limit
node limit
Counts
552 → 535
Calls
Call 1
Inputs
(* -1 (/ (* z (+ x y)) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* -1 (/ y (* z (+ x y))))
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z)
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z)
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z)
(* -1 (/ y z))
(/ (- z y) z)
(/ (- z y) z)
(/ (- z y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -1 (/ (* z (+ x y)) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (/ (* z (+ x y)) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* -1 (* z (+ 1 (/ x y))))
(* -1 (* z (+ 1 (/ x y))))
(* -1 (* z (+ 1 (/ x y))))
(* -1 (* z (+ 1 (/ x y))))
(* z (- (* -1 (/ x y)) 1))
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1))
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1))
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1))
(* -1 (/ (* z (+ x y)) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* -1 x)
(- (* -1 z) x)
(- (* -1 z) x)
(- (* -1 z) x)
(* -1 z)
(* z (- (* -1 (/ z y)) 1))
(* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1))
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1))
(* -1 (/ (* z (+ x y)) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* -1 (/ y z))
(/ (+ z (* -1 y)) z)
(/ (+ z (* -1 y)) z)
(/ (+ z (* -1 y)) z)
(* -1 y)
(- z y)
(- z y)
(- z y)
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
(/ 1 (+ x y))
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
(* -1 (* z (+ 1 (/ x y))))
(* -1 (* z (+ 1 (/ x y))))
(* -1 (* z (+ 1 (/ x y))))
(* -1 (* z (+ 1 (/ x y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z))))
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z))))
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z))))
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* -1 z)
(* z (- (* -1 (/ x z)) 1))
(* z (- (* -1 (/ x z)) 1))
(* z (- (* -1 (/ x z)) 1))
y
(+ y (/ (pow y 2) z))
(- (+ y (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 2) z)))
(- (+ y (/ (pow y 4) (pow z 3))) (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2)))))
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
z
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z))))
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z))))
(/ 1 (+ x y))
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z))))
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z))))
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z))))
(* -1 (* z (+ 1 (/ x y))))
(* -1 (* z (+ 1 (/ x y))))
(* -1 (* z (+ 1 (/ x y))))
(* -1 (* z (+ 1 (/ x y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y)))
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
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rewrite670.0ms (10%)

Memory
-30.4MiB live, 251.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029148
046146
1196146
21644146
08835146
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 092
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
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#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
(neg.f64 z)
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 x y)
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
(/.f64 z y)
(-.f64 (neg.f64 x) z)
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#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
(/.f64 (-.f64 z y) z)
(-.f64 z y)
(+.f64 y x)
(neg.f64 x)
Outputs
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eval416.0ms (6.2%)

Memory
45.7MiB live, 420.4MiB allocated
Compiler

Compiled 32 383 to 4 240 computations (86.9% saved)

prune70.0ms (1%)

Memory
-36.2MiB live, 148.4MiB allocated
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New1 640101 650
Fresh437
Picked325
Done011
Total1 647161 663
Accuracy
100.0%
Counts
1 663 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.7%
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
49.1%
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 y x)))
90.0%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))))
87.3%
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
17.9%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
49.0%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
49.8%
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)))
49.6%
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
50.7%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
49.8%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
49.8%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))) z))
18.1%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
35.2%
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
17.3%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
43.5%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) (+.f64 y (+.f64 x z))) y)))
17.5%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
Compiler

Compiled 270 to 235 computations (13% saved)

simplify214.0ms (3.2%)

Memory
3.7MiB live, 124.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 z y)
cost-diff0
(/.f64 (-.f64 z y) z)
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
cost-diff384
(/.f64 x (/.f64 (-.f64 z y) z))
cost-diff0
(+.f64 x y)
cost-diff0
(-.f64 z y)
cost-diff0
(/.f64 z (-.f64 z y))
cost-diff0
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
cost-diff0
(/.f64 (neg.f64 z) y)
cost-diff0
(*.f64 (/.f64 (neg.f64 z) y) x)
cost-diff0
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
cost-diff0
(+.f64 y x)
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 y x))
cost-diff0
#s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))))
cost-diff896
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036222
051220
196208
2185208
3396206
4819206
52137206
64339206
75237206
85591206
95827206
105839206
115843206
126279206
136529206
146751206
157281206
167487206
177554206
187650206
197688206
207861206
08015206
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))))
#s(literal 1 binary64)
#s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))
(/.f64 #s(literal 1 binary64) (+.f64 y x))
(+.f64 y x)
y
x
(/.f64 y (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) z)
z
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
(+.f64 y x)
y
x
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))
(*.f64 (/.f64 (neg.f64 z) y) x)
(/.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
x
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
(/.f64 z (-.f64 z y))
z
(-.f64 z y)
y
(+.f64 x y)
x
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
(/.f64 x (/.f64 (-.f64 z y) z))
x
(/.f64 (-.f64 z y) z)
(-.f64 z y)
z
y
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (/.f64 (-.f64 z y) (*.f64 z (+.f64 x y)))))
#s(literal 1 binary64)
#s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))))
#s(approx (/ (- 1 (/ y z)) (+ y x)) (/.f64 (-.f64 z y) (*.f64 z (+.f64 x y))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))
(/.f64 (-.f64 z y) (*.f64 z (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (+.f64 y x))
(/.f64 #s(literal 1 binary64) (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
y
x
(/.f64 y (*.f64 (+.f64 y x) z))
(/.f64 y (*.f64 z (+.f64 x y)))
(*.f64 (+.f64 y x) z)
(*.f64 z (+.f64 x y))
z
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
y
x
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))
(*.f64 (/.f64 (neg.f64 z) y) x)
(/.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
x
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
(/.f64 z (-.f64 z y))
z
(-.f64 z y)
y
(+.f64 x y)
x
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x))
(/.f64 x (/.f64 (-.f64 z y) z))
(*.f64 (/.f64 z (-.f64 z y)) x)
x
(/.f64 (-.f64 z y) z)
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(-.f64 z y)
z
y

localize88.0ms (1.3%)

Memory
10.5MiB live, 207.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 z y)
accuracy0.015625
(/.f64 (-.f64 z y) z)
accuracy2.4433448070185344
(/.f64 x (/.f64 (-.f64 z y) z))
accuracy30.934756447198733
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
accuracy0
(-.f64 z y)
accuracy0
(+.f64 x y)
accuracy0.01953125
(/.f64 z (-.f64 z y))
accuracy8.107925899824089
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
accuracy0
(neg.f64 z)
accuracy3.703919838804238
(*.f64 (/.f64 (neg.f64 z) y) x)
accuracy30.6881579319066
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
accuracy39.708320986451895
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))
accuracy0
(+.f64 y x)
accuracy32.28312376407611
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (+.f64 y x))
accuracy0.01171875
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))
accuracy0.19140625
(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))))
accuracy9.367102226272944
(/.f64 y (*.f64 (+.f64 y x) z))
Samples
69.0ms256×0valid
Compiler

Compiled 313 to 54 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 20.0ms (49.8% of total)
ival-sub: 8.0ms (19.9% of total)
ival-mult: 6.0ms (14.9% of total)
ival-add: 4.0ms (10% of total)
ival-neg: 2.0ms (5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series50.0ms (0.7%)

Memory
-2.5MiB live, 116.8MiB allocated
Counts
19 → 576
Calls
Call 1
Inputs
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))) (patch #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)) (patch #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (neg.f64 z) y) x) (patch (*.f64 (/.f64 (neg.f64 z) y) x) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 z) y) (patch (/.f64 (neg.f64 z) y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (patch (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 z (-.f64 z y)) (patch (/.f64 z (-.f64 z y)) #<representation binary64>) () ())
#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 z y) z) (patch (/.f64 (-.f64 z y) z) #<representation binary64>) () ())
#s(alt (/.f64 y (*.f64 (+.f64 y x) z)) (patch (/.f64 y (*.f64 (+.f64 y x) z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
Outputs
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#s(alt (/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))) (patch #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) #<representation binary64>) () ())) ())
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#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ y x) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (* x z) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 z) y) x) (patch (*.f64 (/.f64 (neg.f64 z) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 z) y) x) (patch (*.f64 (/.f64 (neg.f64 z) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 z) y) x) (patch (*.f64 (/.f64 (neg.f64 z) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (patch (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 (+.f64 y x) z)) (patch (/.f64 y (*.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ y z)) (/ (pow y 2) (* x z))) x)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 (+.f64 y x) z)) (patch (/.f64 y (*.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ y z)) (* -1 (/ (- (/ (pow y 3) (* x z)) (/ (pow y 2) z)) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 (+.f64 y x) z)) (patch (/.f64 y (*.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ y z)) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) (* x z)) (/ (pow y 3) z)) x)) (/ (pow y 2) z)) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 (+.f64 y x) z)) (patch (/.f64 y (*.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
7.0ms
x
@0
((- (/ 1 (+ y x)) (/ y (* (+ y x) z))) (/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (/ 1 (+ y x)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (/ (neg z) y) x) (/ (neg z) y) (* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (/ y (* (+ y x) z)) (neg z))
4.0ms
z
@inf
((- (/ 1 (+ y x)) (/ y (* (+ y x) z))) (/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (/ 1 (+ y x)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (/ (neg z) y) x) (/ (neg z) y) (* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (/ y (* (+ y x) z)) (neg z))
3.0ms
z
@0
((- (/ 1 (+ y x)) (/ y (* (+ y x) z))) (/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (/ 1 (+ y x)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (/ (neg z) y) x) (/ (neg z) y) (* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (/ y (* (+ y x) z)) (neg z))
3.0ms
x
@inf
((- (/ 1 (+ y x)) (/ y (* (+ y x) z))) (/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (/ 1 (+ y x)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (/ (neg z) y) x) (/ (neg z) y) (* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (/ y (* (+ y x) z)) (neg z))
3.0ms
x
@-inf
((- (/ 1 (+ y x)) (/ y (* (+ y x) z))) (/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (/ 1 (+ y x)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (/ (neg z) y) x) (/ (neg z) y) (* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (/ y (* (+ y x) z)) (neg z))

simplify171.0ms (2.5%)

Memory
-3.9MiB live, 315.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08407799
126917346
080517092
Stop Event
iter limit
node limit
Counts
576 → 553
Calls
Call 1
Inputs
(* -1 (/ y (* z (+ x y))))
(/ (- (/ z (+ x y)) (/ y (+ x y))) z)
(/ (- (/ z (+ x y)) (/ y (+ x y))) z)
(/ (- (/ z (+ x y)) (/ y (+ x y))) z)
(* -1 (/ (* z (+ x y)) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* -1 (/ y (* z (+ x y))))
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z)
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z)
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z)
(* -1 (/ (* z (+ x y)) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* -1 (/ (* z (+ x y)) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (- (* -1 (/ x y)) 1))
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1))
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1))
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1))
(* -1 (/ (* x z) y))
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(/ (- 1 (/ y z)) x)
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Outputs
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(*.f64 (/.f64 z (-.f64 z y)) x)
(/ x (- 1 (/ y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(/ y (* x z))
(/.f64 (/.f64 y x) z)
(* -1 (/ (+ (* -1 (/ y z)) (/ (pow y 2) (* x z))) x))
(/.f64 (-.f64 (/.f64 y z) (/.f64 (*.f64 y (/.f64 y z)) x)) x)
(* -1 (/ (+ (* -1 (/ y z)) (* -1 (/ (- (/ (pow y 3) (* x z)) (/ (pow y 2) z)) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) z) (*.f64 y (/.f64 y z))) (neg.f64 x)) (/.f64 y z)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ y z)) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) (* x z)) (/ (pow y 3) z)) x)) (/ (pow y 2) z)) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) (neg.f64 x)) (*.f64 y (/.f64 y z))) (neg.f64 x)) (/.f64 y z)) (neg.f64 x))

rewrite166.0ms (2.5%)

Memory
-4.7MiB live, 311.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036196
051194
1236182
22208182
08629182
Stop Event
iter limit
node limit
iter limit
Counts
19 → 834
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))))
#s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))))
(/.f64 #s(literal 1 binary64) (+.f64 y x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
(+.f64 y x)
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))
(*.f64 (/.f64 (neg.f64 z) y) x)
(/.f64 (neg.f64 z) y)
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
(/.f64 z (-.f64 z y))
(-.f64 z y)
(+.f64 x y)
(/.f64 x (/.f64 (-.f64 z y) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
(/.f64 (-.f64 z y) z)
(/.f64 y (*.f64 (+.f64 y x) z))
(neg.f64 z)
Outputs
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eval218.0ms (3.3%)

Memory
12.6MiB live, 396.6MiB allocated
Compiler

Compiled 30 983 to 4 443 computations (85.7% saved)

prune41.0ms (0.6%)

Memory
5.2MiB live, 122.7MiB allocated
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New1 57271 579
Fresh358
Picked325
Done123
Total1 579161 595
Accuracy
100.0%
Counts
1 595 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.7%
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z) (*.f64 (-.f64 y x) (-.f64 z y)))
75.5%
(/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y))
38.6%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y)))
17.9%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
17.4%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)))
49.6%
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
50.7%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
45.8%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
49.8%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
49.8%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))) z))
18.1%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
35.2%
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
17.3%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
18.2%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
18.2%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 z x)))))
17.5%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
Compiler

Compiled 241 to 218 computations (9.5% saved)

simplify260.0ms (3.9%)

Memory
5.5MiB live, 86.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 3 (0.0ms)

IterNodesCost
034189
046187
181187
2141187
3333185
4702185
51640185
63154185
74105185
84397185
94494185
104626185
114668185
124675185
134893185
144965185
154965185
165009185
175116185
185190185
195208185
205208185
215208185
05208185
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y))
(*.f64 z (+.f64 x y))
z
(+.f64 x y)
x
y
(-.f64 z y)
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
(/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))
y
#s(approx (/ (- z y) z) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 (neg.f64 z) x)
(neg.f64 z)
z
x
y
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
(*.f64 (/.f64 x (-.f64 z y)) z)
(/.f64 x (-.f64 z y))
x
(-.f64 z y)
z
y
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y)))
(/.f64 (*.f64 z x) (-.f64 z y))
(*.f64 z x)
z
x
(-.f64 z y)
y
Outputs
(/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 (+.f64 y x) z)
z
(+.f64 x y)
(+.f64 y x)
x
y
(-.f64 z y)
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
(/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))
y
#s(approx (/ (- z y) z) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 (neg.f64 z) x)
(neg.f64 z)
z
x
y
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
(*.f64 (/.f64 x (-.f64 z y)) z)
(/.f64 x (-.f64 z y))
x
(-.f64 z y)
z
y
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
(/.f64 (*.f64 z x) (-.f64 z y))
(*.f64 (/.f64 x (-.f64 z y)) z)
(*.f64 z x)
(*.f64 x z)
z
x
(-.f64 z y)
y

localize85.0ms (1.3%)

Memory
-8.5MiB live, 165.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 z y)
accuracy0
(*.f64 z x)
accuracy10.899683289981898
(/.f64 (*.f64 z x) (-.f64 z y))
accuracy30.934756447198733
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y)))
accuracy0
(-.f64 z y)
accuracy0.01171875
(/.f64 x (-.f64 z y))
accuracy10.064320121680282
(*.f64 (/.f64 x (-.f64 z y)) z)
accuracy30.934756447198733
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
accuracy0
(neg.f64 z)
accuracy4.596919462853999
(/.f64 (*.f64 (neg.f64 z) x) y)
accuracy30.6881579319066
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
accuracy39.708320986451895
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))
accuracy8.48339999744424
(/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))
accuracy31.294221261561507
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
accuracy32.27334156067169
#s(approx (/ (- z y) z) #s(literal 1 binary64))
accuracy0
(-.f64 z y)
accuracy0
(+.f64 x y)
accuracy0.00390625
(*.f64 z (+.f64 x y))
accuracy15.68019065686649
(/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y))
Samples
67.0ms256×0valid
Compiler

Compiled 251 to 49 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 14.0ms (45.6% of total)
ival-mult: 8.0ms (26.1% of total)
ival-sub: 4.0ms (13% of total)
ival-add: 3.0ms (9.8% of total)
ival-neg: 2.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series36.0ms (0.5%)

Memory
-10.6MiB live, 66.9MiB allocated
Counts
18 → 552
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y)) (patch (/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 z (+.f64 x y)) (patch (*.f64 z (+.f64 x y)) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) (patch (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- z y) z) #s(literal 1 binary64)) (patch #s(approx (/ (- z y) z) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) (patch #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (neg.f64 z) x) y) (patch (/.f64 (*.f64 (neg.f64 z) x) y) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 z) x) (patch (*.f64 (neg.f64 z) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x (-.f64 z y)) z) (patch (*.f64 (/.f64 x (-.f64 z y)) z) #<representation binary64>) () ())
#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 z x) (-.f64 z y)) (patch (/.f64 (*.f64 z x) (-.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt (/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y)) (patch (/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y)) (patch (/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt (/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y)) (patch (/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt (/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y)) (patch (/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (*.f64 z (+.f64 x y)) (patch (*.f64 z (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (*.f64 z (+.f64 x y)) (patch (*.f64 z (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (*.f64 z (+.f64 x y)) (patch (*.f64 z (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (*.f64 z (+.f64 x y)) (patch (*.f64 z (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 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 (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) (patch (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* -1 (/ z y)) 1)) (taylor 0 z) (#s(alt (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) (patch (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1)) (taylor 0 z) (#s(alt (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) (patch (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)) (taylor 0 z) (#s(alt (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) (patch (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y z)) (taylor 0 z) (#s(alt #s(approx (/ (- z y) z) #s(literal 1 binary64)) (patch #s(approx (/ (- z y) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt #s(approx (/ (- z y) z) #s(literal 1 binary64)) (patch #s(approx (/ (- z y) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt #s(approx (/ (- z y) z) #s(literal 1 binary64)) (patch #s(approx (/ (- z y) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt #s(approx (/ (- z y) z) #s(literal 1 binary64)) (patch #s(approx (/ (- z y) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* -1 (/ x y)) 1)) (taylor 0 z) (#s(alt #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) (patch #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) (taylor 0 z) (#s(alt #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) (patch #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) (taylor 0 z) (#s(alt #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) (patch #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) (taylor 0 z) (#s(alt #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) (patch #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) x) y) (patch (/.f64 (*.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) x) y) (patch (/.f64 (*.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) x) y) (patch (/.f64 (*.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) x) y) (patch (/.f64 (*.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) x) (patch (*.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) x) (patch (*.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) x) (patch (*.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) x) (patch (*.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
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Calls

9 calls:

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

simplify173.0ms (2.6%)

Memory
20.8MiB live, 253.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05056535
116306086
248065820
081665561
Stop Event
iter limit
node limit
Counts
552 → 529
Calls
Call 1
Inputs
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1
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Outputs
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(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (/.f64 (-.f64 z y) z)) x) x (/.f64 x (/.f64 (-.f64 z y) z)))
(/ (* x z) (- z y))
(*.f64 (/.f64 z (-.f64 z y)) x)
(/ (* x z) (- z y))
(*.f64 (/.f64 z (-.f64 z y)) x)
(/ (* x z) (- z y))
(*.f64 (/.f64 z (-.f64 z y)) x)
(/ (* x z) (- z y))
(*.f64 (/.f64 z (-.f64 z y)) x)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)

rewrite155.0ms (2.3%)

Memory
9.4MiB live, 243.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034169
046167
1183167
21374165
08530165
Stop Event
iter limit
node limit
iter limit
Counts
18 → 418
Calls
Call 1
Inputs
(/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y))
(*.f64 z (+.f64 x y))
(+.f64 x y)
(-.f64 z y)
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
(/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))
#s(approx (/ (- z y) z) #s(literal 1 binary64))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 (neg.f64 z) x)
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
(*.f64 (/.f64 x (-.f64 z y)) z)
(/.f64 x (-.f64 z y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y)))
(/.f64 (*.f64 z x) (-.f64 z y))
(*.f64 z x)
(neg.f64 z)
Outputs
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eval151.0ms (2.2%)

Memory
-22.3MiB live, 232.7MiB allocated
Compiler

Compiled 15 951 to 1 854 computations (88.4% saved)

prune38.0ms (0.6%)

Memory
6.7MiB live, 83.3MiB allocated
Pruning

16 alts after pruning (8 fresh and 8 done)

PrunedKeptTotal
New1 06031 063
Fresh257
Picked145
Done044
Total1 063161 079
Accuracy
100.0%
Counts
1 079 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.7%
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z) (*.f64 (-.f64 y x) (-.f64 z y)))
43.6%
(/.f64 (*.f64 z (+.f64 x y)) #s(approx (- z y) (neg.f64 y)))
38.6%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y)))
46.6%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 z (/.f64 (-.f64 z y) x)))
17.9%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
17.4%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)))
49.6%
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
50.7%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
45.8%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
18.1%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
49.8%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
35.2%
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
17.3%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
18.2%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
18.2%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 z x)))))
17.5%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
Compiler

Compiled 459 to 248 computations (46% saved)

regimes44.0ms (0.6%)

Memory
7.6MiB live, 54.1MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y)))
(/.f64 (*.f64 z (+.f64 x y)) #s(approx (- z y) (neg.f64 y)))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
(/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) (+.f64 y (+.f64 x z))) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 z (/.f64 (-.f64 z y) x)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 z x)))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))) z))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z) (*.f64 (-.f64 y x) (-.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 y x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (/.f64 (*.f64 z (+.f64 (+.f64 (/.f64 (*.f64 z (+.f64 z x)) y) x) z)) (neg.f64 y)) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))))
(/.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
Outputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
Calls

4 calls:

14.0ms
z
9.0ms
y
9.0ms
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
9.0ms
x
Results
AccuracySegmentsBranch
90.0%1x
96.3%3y
96.9%3z
99.9%3(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes8.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y)))
(/.f64 (*.f64 z (+.f64 x y)) #s(approx (- z y) (neg.f64 y)))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
(/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) (+.f64 y (+.f64 x z))) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 z (/.f64 (-.f64 z y) x)))
Outputs
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
Calls

1 calls:

7.0ms
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Results
AccuracySegmentsBranch
99.9%3(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes9.0ms (0.1%)

Memory
-26.6MiB live, 10.8MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y)))
(/.f64 (*.f64 z (+.f64 x y)) #s(approx (- z y) (neg.f64 y)))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
(/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y))
Outputs
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
Calls

1 calls:

5.0ms
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Results
AccuracySegmentsBranch
99.8%3(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes24.0ms (0.4%)

Memory
-3.7MiB live, 32.7MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y)))
(/.f64 (*.f64 z (+.f64 x y)) #s(approx (- z y) (neg.f64 y)))
Outputs
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
Calls

4 calls:

10.0ms
x
4.0ms
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
4.0ms
y
4.0ms
z
Results
AccuracySegmentsBranch
76.0%3x
77.4%3y
75.7%3z
67.4%3(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
Outputs
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
Calls

3 calls:

3.0ms
x
3.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
66.1%5z
55.5%4x
72.1%3y
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

1.0ms
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
1.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
35.2%1x
35.2%1z
35.2%1(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
35.2%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.9601985395361995e-279
0.0ms
-3.513891841983215e-257
-3.1989733480711136e-295
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.9601985395361995e-279
0.0ms
-3.513891841983215e-257
-3.1989733480711136e-295
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.9601985395361995e-279
0.0ms
-3.513891841983215e-257
-3.1989733480711136e-295
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch31.0ms (0.5%)

Memory
-0.2MiB live, 37.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
4.027039330481604e+53
3.3692265679903663e+56
17.0ms
-4.668734217979801e+46
-1.0728468706758549e+42
Samples
18.0ms256×0valid
Compiler

Compiled 204 to 254 computations (-24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (46.1% of total)
ival-sub: 1.0ms (15.4% of total)
ival-add: 1.0ms (15.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.5%)

Memory
-12.1MiB live, 32.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.8281892344674592e+112
5.0140834702452574e+116
17.0ms
-4.668734217979801e+46
-1.0728468706758549e+42
Samples
19.0ms240×0valid
Compiler

Compiled 124 to 206 computations (-66.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 8.0ms (61% of total)
ival-div: 3.0ms (22.9% of total)
ival-sub: 1.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify30.0ms (0.4%)

Memory
8.7MiB live, 46.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050293
168291
289291
3113291
4122291
5125291
6126291
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))))
(if (<=.f64 y #s(literal -1100000000000000064848534436950761900343296 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal 21000000000000000623275247733705730298288744002303819776 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))))
(if (<=.f64 y #s(literal -2249999999999999921182062819469327838388158464 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 4000000000000000062237664517867372097072805587684245733479082321723335124659022813059941559660189790704825123471360 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
Outputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (*.f64 (/.f64 (neg.f64 x) y) z) z)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (*.f64 (/.f64 (neg.f64 x) y) z) z)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))))
(if (<=.f64 y #s(literal -1100000000000000064848534436950761900343296 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal 21000000000000000623275247733705730298288744002303819776 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))))
(if (<=.f64 y #s(literal -2249999999999999921182062819469327838388158464 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 4000000000000000062237664517867372097072805587684245733479082321723335124659022813059941559660189790704825123471360 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))

soundness615.0ms (9.2%)

Memory
-0.2MiB live, 346.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029148
046146
1196146
21644146
08835146
0820
01220
15620
243220
3770520
0802520
0181958
1589915
21844852
37144833
08245790
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 435 to 186 computations (57.2% saved)

preprocess55.0ms (0.8%)

Memory
-11.1MiB live, 113.0MiB allocated
Compiler

Compiled 486 to 142 computations (70.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...