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

Time bar (total: 7.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze223.0ms (3.1%)

Memory
-36.3MiB live, 51.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
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)

sample1.1s (15%)

Memory
41.9MiB live, 1 109.9MiB allocated
Samples
645.0ms8 253×0valid
0.0ms3valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 401.0ms
ival-sub: 180.0ms (44.9% of total)
ival-div: 128.0ms (31.9% of total)
ival-add: 79.0ms (19.7% of total)
ival-true: 6.0ms (1.5% of total)
exact: 5.0ms (1.2% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain82.0ms (1.1%)

Memory
-25.1MiB live, 210.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
310-0-(/.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/o310
(/.f64 y z)overflow31
(-.f64 #s(literal 1 binary64) (/.f64 y z))overflow31
Confusion
Predicted +Predicted -
+310
-0225
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3100
-00225
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0225
131
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
31.0ms512×0valid
Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 7.0ms (47.6% of total)
ival-add: 4.0ms (27.2% of total)
ival-sub: 2.0ms (13.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess139.0ms (1.9%)

Memory
8.2MiB live, 99.9MiB allocated
Algorithm
egg-herbie
Rules
702×times-frac
506×div-sub
396×unsub-neg
382×distribute-rgt-in
368×lower-fma.f64
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)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.5%
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify32.0ms (0.4%)

Memory
-2.2MiB live, 36.5MiB 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)))
Rules
368×lower-fma.f64
368×lower-fma.f32
240×lower-*.f64
240×lower-*.f32
192×div-sub
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

localize22.0ms (0.3%)

Memory
9.7MiB live, 48.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y z)
accuracy0
(+.f64 x y)
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy7.3762780122317935
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Samples
16.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 5.0ms (54.2% of total)
ival-sub: 1.0ms (10.8% of total)
ival-add: 1.0ms (10.8% of total)
exact: 1.0ms (10.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-12.7MiB live, 26.0MiB 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
3.0ms
z
@-inf
((/ (+ 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
@0
((/ (+ 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))

simplify222.0ms (3.1%)

Memory
10.8MiB live, 320.5MiB allocated
Algorithm
egg-herbie
Rules
17 244×lower-fma.f64
17 244×lower-fma.f32
4 624×lower-*.f64
4 624×lower-*.f32
2 932×lower--.f64
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)

rewrite171.0ms (2.4%)

Memory
-6.5MiB live, 278.6MiB allocated
Rules
3 550×lower-*.f64
3 550×lower-*.f32
3 202×lower-/.f32
3 198×lower-/.f64
2 858×lower-fma.f64
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
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (hypot.f64 y x) (*.f64 y x)))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (+.f64 y x))
(*.f64 (/.f64 (/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))
(*.f64 (/.f64 (/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (neg.f64 y) x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (neg.f64 y) x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x)) (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 y x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (+.f64 y x) (-.f64 (hypot.f64 y x) (*.f64 y x))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) (-.f64 x y)) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (+.f64 y x)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) (+.f64 y x)))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (neg.f64 y) x))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (+.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))))
(*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (-.f64 x y)))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))))
(*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (/.f64 (+.f64 y x) (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (-.f64 (hypot.f64 y x) (*.f64 y x))))
(*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64))))
(*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (-.f64 (neg.f64 y) x) (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (-.f64 x y) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (+.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #s(literal -1 binary64))
(/.f64 (/.f64 (-.f64 (neg.f64 y) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) (-.f64 x y))) (-.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (-.f64 (hypot.f64 y x) (*.f64 y x)))
(/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 y) x) (-.f64 x y)) (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 x y))
(/.f64 (*.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (hypot.f64 y x) (*.f64 y x)))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x y))
(/.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x))))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64))) (-.f64 y x))
(/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 y) x) (-.f64 x y)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x y))
(/.f64 (*.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64))) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x))))
(/.f64 (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 y z) (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)) #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 y z)))
(/.f64 (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)) (-.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (*.f64 (-.f64 (neg.f64 y) x) (-.f64 x y))) (fma.f64 #s(literal -1 binary64) x y))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x))))
(/.f64 (*.f64 (-.f64 (neg.f64 y) x) #s(literal 1 binary64)) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (-.f64 x y))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (-.f64 (hypot.f64 y x) (*.f64 y x)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x)) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (hypot.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (/.f64 y z)) #s(literal 1 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 6 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (+.f64 (hypot.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (/.f64 y z)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 6 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)))
(neg.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)) #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 y z)) (neg.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)) (-.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 y z) (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z)) (neg.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+.f64 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))))
(+.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) y)
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 y (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) z)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 y z)
(neg.f64 (/.f64 (neg.f64 y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))

eval53.0ms (0.7%)

Memory
-12.8MiB live, 103.4MiB allocated
Compiler

Compiled 8 877 to 1 015 computations (88.6% saved)

prune15.0ms (0.2%)

Memory
1.0MiB live, 39.9MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New42611437
Fresh000
Picked011
Done000
Total42612438
Accuracy
100.0%
Counts
438 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.4%
(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))
88.5%
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
88.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))
47.8%
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
48.4%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
42.7%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
44.8%
#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))
49.8%
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
49.2%
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x)))
50.3%
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
47.9%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
35.3%
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
Compiler

Compiled 213 to 182 computations (14.6% saved)

simplify276.0ms (3.8%)

Memory
20.7MiB live, 143.4MiB 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 y z)
cost-diff0
(fma.f64 (/.f64 y z) (+.f64 y x) y)
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
cost-diff64
(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)
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 #s(literal -1 binary64) z)
cost-diff0
(+.f64 x y)
cost-diff192
(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))
cost-diff384
(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))
Rules
3 792×lower-fma.f32
3 788×lower-fma.f64
1 384×lower-*.f32
1 382×lower-*.f64
990×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028160
045161
179156
2147156
3242156
4388156
5639156
61589156
72975156
84258156
94793156
104970156
115076156
125076156
135498156
145747156
155935156
166091156
176091156
186091156
196091156
206111156
216119156
06119156
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))
(+.f64 x y)
x
y
(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
#s(literal 1 binary64)
#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))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)
(fma.f64 (/.f64 y z) (+.f64 y x) y)
(/.f64 y z)
y
z
(+.f64 y x)
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 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))
(/.f64 (-.f64 z y) z)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
#s(literal 1 binary64)
#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))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 (/.f64 y z) #s(literal -1 binary64)) (+.f64 y x)))
(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)
(*.f64 (-.f64 (/.f64 y z) #s(literal -1 binary64)) (+.f64 y x))
(fma.f64 (/.f64 y z) (+.f64 y x) y)
(fma.f64 (+.f64 y x) (/.f64 y z) y)
(/.f64 y z)
y
z
(+.f64 y x)
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 z y)
z
y

localize71.0ms (1%)

Memory
-10.1MiB live, 106.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 z y)
accuracy0.01171875
(/.f64 (-.f64 z y) z)
accuracy3.5824748298073326
(/.f64 x (/.f64 (-.f64 z y) z))
accuracy35.06358273304828
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
accuracy0
(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)
accuracy0
(+.f64 y x)
accuracy2.21918496441507
(fma.f64 (/.f64 y z) (+.f64 y x) y)
accuracy32.09968844453178
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
accuracy0
(/.f64 x y)
accuracy0
(-.f64 #s(literal -1 binary64) (/.f64 x y))
accuracy2.6647112514000333
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
accuracy31.176372325728224
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
accuracy0
(neg.f64 z)
accuracy41.40037611162577
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
accuracy0
(/.f64 #s(literal -1 binary64) z)
accuracy0
(+.f64 x y)
accuracy0.12109375
(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))
accuracy7.3762780122317935
(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))
Samples
44.0ms256×0valid
Compiler

Compiled 136 to 26 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 12.0ms (44% of total)
ival-add: 6.0ms (22% of total)
ival-mult: 5.0ms (18.3% of total)
ival-sub: 3.0ms (11% of total)
ival-neg: 1.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series43.0ms (0.6%)

Memory
23.3MiB live, 59.9MiB allocated
Counts
19 → 540
Calls
Call 1
Inputs
#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) 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 (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation:binary64>) () ())
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation:binary64>) () ())
#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation:binary64>) () ())
#s(alt (/.f64 y z) (patch (/.f64 y z) #<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 z y) (patch (-.f64 z y) #<representation:binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation:binary64>) () ())
Outputs
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #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 (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #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 (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #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 (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ y z)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation:binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation:binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation:binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (* 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 (/ (* y (+ x y)) z) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation:binary64>) () ())) ())
#s(alt (/ (+ (* y (+ x y)) (* z (+ x y))) z) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation:binary64>) () ())) ())
#s(alt (/ (+ (* y (+ x y)) (* z (+ x y))) z) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation:binary64>) () ())) ())
#s(alt (/ (+ (* y (+ x y)) (* z (+ x y))) z) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<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 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<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 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) 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 #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation:binary64>) () ())) ())
#s(alt (/ (* y (+ x y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation:binary64>) () ())) ())
#s(alt (/ (+ (* y z) (* y (+ x y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation:binary64>) () ())) ())
#s(alt (/ (+ (* y z) (* y (+ x y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation:binary64>) () ())) ())
#s(alt (/ (+ (* y z) (* y (+ x y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<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 (/ (* x z) y)) (taylor 0 z) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation:binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation:binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) (taylor 0 z) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation:binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))) (taylor 0 z) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation:binary64>) () ())) ())
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#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* 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 x (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ x (+ 1 (* -1 (/ y z)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 (* -1 (/ y z)))))) (/ 1 (+ 1 (* -1 (/ y z))))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 (* -1 (/ y z)))))) (/ 1 (+ 1 (* -1 (/ y z))))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 (* -1 (/ y z)))))) (/ 1 (+ 1 (* -1 (/ y z))))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<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>) () ())) ())
#s(alt (/ x (- 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 (* -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 (* -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 (* -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 (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation:binary64>) () ())) ())
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) 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))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) 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))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) 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))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation:binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y 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 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>) () ())) ())
Calls

9 calls:

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

simplify236.0ms (3.3%)

Memory
11.7MiB live, 243.1MiB allocated
Algorithm
egg-herbie
Rules
16 174×lower-fma.f64
16 174×lower-fma.f32
4 618×lower-+.f64
4 618×lower-+.f32
4 530×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03825934
112605662
237505064
084374847
Stop Event
iter limit
node limit
Counts
540 → 514
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 (* -1 y)) z)
(/ (+ z (* -1 y)) z)
(/ (+ z (* -1 y)) z)
(/ -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 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))))
(/ (* y (+ x y)) z)
(/ (+ (* y (+ x y)) (* z (+ x y))) z)
(/ (+ (* y (+ x y)) (* z (+ x y))) z)
(/ (+ (* 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)))))))
(/ (* y (+ x y)) z)
(/ (+ (* y z) (* y (+ x y))) z)
(/ (+ (* y z) (* y (+ x y))) z)
(/ (+ (* y z) (* y (+ x y))) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))))
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))))
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ 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)))))))
(* -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
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(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(/ (* x y) z)
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x)))))
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x)))))
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x)))))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ 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 (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x 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 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.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 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (*.f64 (/.f64 (/.f64 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) z (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) z)
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(/ (+ z (* -1 y)) z)
(/.f64 (-.f64 z y) z)
(/ (+ z (* -1 y)) z)
(/.f64 (-.f64 z y) z)
(/ (+ z (* -1 y)) z)
(/.f64 (-.f64 z y) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(* -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 (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x 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 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.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 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (*.f64 (/.f64 (/.f64 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) z (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -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 (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x 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 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.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 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (*.f64 (/.f64 (/.f64 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) z (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) z)
(* -1 (* z (+ 1 (/ x y))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
(* -1 (* z (+ 1 (/ x y))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
(* -1 (* z (+ 1 (/ x y))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
(* -1 (* z (+ 1 (/ x y))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
(/ (* y (+ x y)) z)
(/.f64 (*.f64 (+.f64 y x) y) z)
(/ (+ (* y (+ x y)) (* z (+ x y))) z)
(*.f64 (+.f64 y x) (/.f64 (+.f64 y z) z))
(/ (+ (* y (+ x y)) (* z (+ x y))) z)
(*.f64 (+.f64 y x) (/.f64 (+.f64 y z) z))
(/ (+ (* y (+ x y)) (* z (+ x y))) z)
(*.f64 (+.f64 y x) (/.f64 (+.f64 y z) z))
(* -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 (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x 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 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.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 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (*.f64 (/.f64 (/.f64 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) z (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) z)
(/ (* y (+ x y)) z)
(/.f64 (*.f64 (+.f64 y x) y) z)
(/ (+ (* y z) (* y (+ x y))) z)
(*.f64 y (/.f64 (+.f64 (+.f64 y x) z) z))
(/ (+ (* y z) (* y (+ x y))) z)
(*.f64 y (/.f64 (+.f64 (+.f64 y x) z) z))
(/ (+ (* y z) (* y (+ x y))) z)
(*.f64 y (/.f64 (+.f64 (+.f64 y x) z) z))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(* -1 (/ (* x z) y))
(*.f64 (neg.f64 x) (/.f64 z y))
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))))
(*.f64 (*.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 z y))) z)
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))))
(*.f64 (fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (*.f64 y y)))) z (/.f64 x (neg.f64 y))) z)
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))))
(*.f64 (fma.f64 (neg.f64 (*.f64 z (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) z (*.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 z y)))) z)
(* -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 (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x 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 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.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 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (*.f64 (/.f64 (/.f64 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) z (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) z)
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(/ (+ z (* -1 y)) z)
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(/ (+ z (* -1 y)) z)
(/.f64 (-.f64 z y) z)
(/ (+ z (* -1 y)) z)
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(* -1 y)
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(- z y)
(-.f64 z y)
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(-.f64 z y)
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(+ x (+ y (/ (* y (+ x y)) z)))
(+.f64 (fma.f64 (+.f64 y x) (/.f64 y z) 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 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (fma.f64 (+.f64 y x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 y x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(/.f64 (-.f64 z y) z)
(+ 1 (* -1 (/ y z)))
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(+ 1 (* -1 (/ y z)))
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(/ -1 z)
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(/ -1 z)
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(/ -1 z)
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(/ -1 z)
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(+ x y)
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(- (+ 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))
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(* -1 z)
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(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x))
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y
(+ y (/ (* y (+ x y)) z))
(fma.f64 (+.f64 y x) (/.f64 y z) y)
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(fma.f64 (+.f64 y x) (/.f64 y z) y)
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(fma.f64 (+.f64 y x) (/.f64 y z) y)
(/ y z)
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x
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(+ x y)
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1
#s(literal 1 binary64)
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(* z (+ 1 (* -1 (/ y z))))
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1
#s(literal 1 binary64)
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(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z))))
(/ x (- 1 (/ y z)))
(/.f64 x (/.f64 (-.f64 z y) z))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z))))
(* -1 (/ (* x z) y))
(*.f64 (neg.f64 x) (/.f64 z y))
(* -1 (* x (+ (/ z x) (/ z y))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 z x) (/.f64 z y)))
(* -1 (* x (+ (/ z x) (/ z y))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 z x) (/.f64 z y)))
(* -1 (* x (+ (/ z x) (/ z y))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 z x) (/.f64 z y)))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 x z) y x)
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1)))
(fma.f64 (+.f64 (/.f64 (fma.f64 y (/.f64 y z) y) x) (/.f64 y z)) x x)
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1)))
(fma.f64 (+.f64 (/.f64 (fma.f64 y (/.f64 y z) y) x) (/.f64 y z)) x x)
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1)))
(fma.f64 (+.f64 (/.f64 (fma.f64 y (/.f64 y z) y) x) (/.f64 y z)) 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))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z))))
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x)))))
(*.f64 (+.f64 (/.f64 (fma.f64 y (/.f64 y z) y) x) (/.f64 y z)) x)
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x)))))
(*.f64 (+.f64 (/.f64 (fma.f64 y (/.f64 y z) y) x) (/.f64 y z)) x)
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x)))))
(*.f64 (+.f64 (/.f64 (fma.f64 y (/.f64 y z) y) x) (/.f64 y z)) 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) (- z y))
(*.f64 (/.f64 z (-.f64 z y)) x)
(/ x (- 1 (/ y z)))
(/.f64 x (/.f64 (-.f64 z y) z))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z))))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))

rewrite179.0ms (2.5%)

Memory
-18.9MiB live, 260.3MiB allocated
Rules
4 894×lower-*.f32
4 892×lower-*.f64
4 730×lower-/.f32
4 718×lower-/.f64
2 640×lower--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028144
045145
1205140
21849140
08294140
Stop Event
iter limit
node limit
iter limit
Counts
19 → 610
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))
(+.f64 x y)
(/.f64 #s(literal -1 binary64) z)
#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)
(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
(fma.f64 (/.f64 y z) (+.f64 y x) y)
(/.f64 y z)
(/.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 z y)
(+.f64 y x)
Outputs
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 z y) z) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 z y) z) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 z y) z) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 z y) z) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (+.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal -1 binary64)))
(*.f64 (/.f64 z (-.f64 z y)) (pow.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
(*.f64 (neg.f64 (+.f64 y x)) (pow.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)))
(*.f64 (+.f64 y x) (/.f64 z (-.f64 z y)))
(pow.f64 (/.f64 (/.f64 (/.f64 (-.f64 z y) z) (+.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 z y) z) (+.f64 y x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 z (-.f64 z y)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 z (-.f64 z y)))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 z (-.f64 z y)))) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x))))
(/.f64 (neg.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 z (-.f64 z y)))) (neg.f64 (-.f64 (hypot.f64 x y) (*.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 y x)))) (+.f64 (/.f64 y z) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) #s(literal 1 binary64))) (+.f64 (/.f64 y z) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 y x) (/.f64 (-.f64 z y) z))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 x y) (/.f64 (-.f64 z y) z))))
(/.f64 (neg.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (/.f64 (-.f64 z y) z))))
(/.f64 (neg.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (hypot.f64 x y) (*.f64 y x)) (/.f64 (-.f64 z y) z))))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 z (-.f64 z y))) (-.f64 y x))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 z (-.f64 z y))) (-.f64 x y))
(/.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 z (-.f64 z y))) (-.f64 (hypot.f64 y x) (*.f64 y x)))
(/.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 z (-.f64 z y))) (-.f64 (hypot.f64 x y) (*.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) #s(literal 1 binary64)) (/.f64 (-.f64 z y) z))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (*.f64 (/.f64 (-.f64 z y) z) (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (*.f64 (/.f64 (-.f64 z y) z) (-.f64 x y))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (*.f64 (/.f64 (-.f64 z y) z) (-.f64 (hypot.f64 y x) (*.f64 y x)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (*.f64 (/.f64 (-.f64 z y) z) (-.f64 (hypot.f64 x y) (*.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 y x))) (/.f64 (-.f64 z y) z))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 (-.f64 y x) (/.f64 (-.f64 z y) z)))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (/.f64 (-.f64 z y) z)))
(/.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (/.f64 (-.f64 z y) z)))
(/.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (hypot.f64 x y) (*.f64 y x)) (/.f64 (-.f64 z y) z)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (/.f64 (-.f64 z y) z) (-.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (/.f64 (-.f64 z y) z) (-.f64 x y)))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (/.f64 (-.f64 z y) z) (-.f64 (hypot.f64 y x) (*.f64 y x))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (/.f64 (-.f64 z y) z) (-.f64 (hypot.f64 x y) (*.f64 y x))))
(/.f64 (neg.f64 (+.f64 y x)) (+.f64 (/.f64 y z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (-.f64 z y) z) (+.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (-.f64 z y) z) (+.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 z y) z) (+.f64 y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 (-.f64 z y) z) (+.f64 y x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 z y) z) (+.f64 y x))))
(/.f64 (+.f64 y x) (/.f64 (-.f64 z y) z))
(neg.f64 (/.f64 (+.f64 y x) (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 y y) (*.f64 (/.f64 (-.f64 z y) z) (-.f64 y x))) (/.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 z y) z) (-.f64 y x))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 z y) z) (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (/.f64 (-.f64 z y) z) (-.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (-.f64 z y) z)) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (-.f64 z y) z)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (-.f64 z y) z)) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (-.f64 z y) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (/.f64 (+.f64 y x) (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 z y) z) (+.f64 y x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z (*.f64 (+.f64 z y) (-.f64 z y))) #s(literal -1 binary64)) (pow.f64 (+.f64 z y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (hypot.f64 z y) (*.f64 z y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (-.f64 z y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 z y))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 z y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (-.f64 z y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) z))
(pow.f64 (/.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #s(literal -1 binary64))
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(-.f64 z y)
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(*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 y x)) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 x y) (*.f64 y x)))))
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(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
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(+.f64 y x)
(+.f64 x y)

eval157.0ms (2.2%)

Memory
14.5MiB live, 250.5MiB allocated
Compiler

Compiled 18 090 to 2 319 computations (87.2% saved)

prune36.0ms (0.5%)

Memory
12.7MiB live, 90.2MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1 110141 124
Fresh516
Picked325
Done101
Total1 119171 136
Accuracy
100.0%
Counts
1 136 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.3%
(/.f64 (+.f64 x y) (*.f64 (neg.f64 (-.f64 z y)) (/.f64 #s(literal -1 binary64) z)))
89.1%
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
39.9%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) z) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))
38.3%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y)))
42.7%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))))
16.6%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)))
42.7%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
47.9%
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)))
50.3%
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
42.7%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x))
47.9%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
15.8%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z))
35.3%
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
27.9%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
16.6%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y))))
23.5%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y)))
2.6%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
Compiler

Compiled 283 to 255 computations (9.9% saved)

simplify124.0ms (1.7%)

Memory
-2.5MiB live, 36.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- z y) (neg.f64 y))
cost-diff0
(/.f64 #s(approx (- z y) (neg.f64 y)) z)
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)))
cost-diff384
(/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))
cost-diff-384
(*.f64 (/.f64 z (-.f64 z y)) x)
cost-diff0
(-.f64 z y)
cost-diff0
(/.f64 z (-.f64 z y))
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x))
cost-diff0
(/.f64 x z)
cost-diff0
(fma.f64 (/.f64 x z) y x)
cost-diff0
#s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
cost-diff0
(+.f64 y x)
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
cost-diff0
(+.f64 y x)
cost-diff0
(-.f64 z y)
cost-diff0
(/.f64 z (-.f64 z y))
cost-diff0
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
Rules
1 424×lower-fma.f32
1 422×lower-fma.f64
960×lower-*.f32
956×lower-*.f64
540×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027175
038175
168175
2106175
3132175
4207175
5279175
6451175
71100175
82622175
93888175
104168175
114285175
124330175
134335175
144339175
154351175
164353175
174353175
04353175
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
(/.f64 z (-.f64 z y))
z
(-.f64 z y)
y
(+.f64 y x)
x
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
(+.f64 y x)
y
x
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
#s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))
(fma.f64 (/.f64 x z) y x)
(/.f64 x z)
x
z
y
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x))
(*.f64 (/.f64 z (-.f64 z y)) x)
(/.f64 z (-.f64 z y))
z
(-.f64 z y)
y
x
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)))
(/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))
x
(/.f64 #s(approx (- z y) (neg.f64 y)) z)
#s(approx (- z y) (neg.f64 y))
(neg.f64 y)
y
z
Outputs
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
(*.f64 (+.f64 x y) (/.f64 z (-.f64 z y)))
(/.f64 z (-.f64 z y))
z
(-.f64 z y)
y
(+.f64 y x)
(+.f64 x y)
x
#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 (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
#s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))
(fma.f64 (/.f64 x z) y x)
(/.f64 x z)
x
z
y
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
(*.f64 (/.f64 z (-.f64 z y)) x)
(/.f64 x (/.f64 (-.f64 z y) z))
(/.f64 z (-.f64 z y))
z
(-.f64 z y)
y
x
#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))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))))
(/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))
(/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))
x
(/.f64 #s(approx (- z y) (neg.f64 y)) z)
#s(approx (- z y) (neg.f64 y))
(neg.f64 y)
y
z

localize62.0ms (0.9%)

Memory
2.2MiB live, 83.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(/.f64 #s(approx (- z y) (neg.f64 y)) z)
accuracy3.5824748298073326
(/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))
accuracy31.169587195762887
#s(approx (- z y) (neg.f64 y))
accuracy35.06358273304828
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)))
accuracy0
(-.f64 z y)
accuracy0.015625
(/.f64 z (-.f64 z y))
accuracy3.425561404860483
(*.f64 (/.f64 z (-.f64 z y)) x)
accuracy35.06358273304828
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x))
accuracy0
(/.f64 x z)
accuracy4.868845908404923
(fma.f64 (/.f64 x z) y x)
accuracy31.806480789185237
#s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))
accuracy35.06358273304828
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
accuracy0
(+.f64 y x)
accuracy31.82338579343652
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
accuracy0
(-.f64 z y)
accuracy0
(+.f64 y x)
accuracy0.015625
(/.f64 z (-.f64 z y))
accuracy7.007778767801663
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
Samples
38.0ms256×0valid
Compiler

Compiled 124 to 21 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 10.0ms (46% of total)
ival-mult: 4.0ms (18.4% of total)
ival-sub: 3.0ms (13.8% of total)
ival-add: 3.0ms (13.8% of total)
ival-neg: 1.0ms (4.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.4%)

Memory
1.2MiB live, 39.4MiB allocated
Counts
15 → 468
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) (patch (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) #<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 y x) (patch (+.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 #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) #<representation:binary64>) () ())
#s(alt #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) #<representation:binary64>) () ())
#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation:binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation:binary64>) () ())
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) #<representation:binary64>) () ())
#s(alt (*.f64 (/.f64 z (-.f64 z y)) x) (patch (*.f64 (/.f64 z (-.f64 z y)) x) #<representation:binary64>) () ())
#s(alt (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) (patch (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) #<representation:binary64>) () ())
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) #<representation:binary64>) () ())
#s(alt (/.f64 #s(approx (- z y) (neg.f64 y)) z) (patch (/.f64 #s(approx (- z y) (neg.f64 y)) z) #<representation:binary64>) () ())
#s(alt #s(approx (- z y) (neg.f64 y)) (patch #s(approx (- z y) (neg.f64 y)) #<representation:binary64>) () ())
Outputs
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) (patch (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) #<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 z y)) (+.f64 y x)) (patch (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) #<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 z y)) (+.f64 y x)) (patch (*.f64 (/.f64 z (-.f64 z y)) (+.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 (/.f64 z (-.f64 z y)) (+.f64 y x)) (patch (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ z y)) (taylor 0 z) (#s(alt (/.f64 z (-.f64 z y)) (patch (/.f64 z (-.f64 z y)) #<representation:binary64>) () ())) ())
#s(alt (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) (taylor 0 z) (#s(alt (/.f64 z (-.f64 z y)) (patch (/.f64 z (-.f64 z y)) #<representation:binary64>) () ())) ())
#s(alt (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 z) (#s(alt (/.f64 z (-.f64 z y)) (patch (/.f64 z (-.f64 z y)) #<representation:binary64>) () ())) ())
#s(alt (* z (- (* z (- (* z (- (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 z) (#s(alt (/.f64 z (-.f64 z y)) (patch (/.f64 z (-.f64 z 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 x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #<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 x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #<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 x)) (patch #s(approx (/ (+ x y) (- 1 (/ 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 #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 (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) #<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 (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) #<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 (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) 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 #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor 0 z) (#s(alt #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) #<representation:binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) #<representation:binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) (taylor 0 z) (#s(alt #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) #<representation:binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))) (taylor 0 z) (#s(alt #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) #<representation:binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation:binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation:binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation:binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation:binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation:binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation:binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation:binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) #<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 z (-.f64 z y)) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) #<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 z (-.f64 z y)) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z 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 #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) #<representation:binary64>) () ())) ())
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#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) (patch (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) #<representation:binary64>) () ())) ())
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) (patch (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 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 #s(approx (- z y) (neg.f64 y)) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 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 #s(approx (- z y) (neg.f64 y)) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 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 #s(approx (- z y) (neg.f64 y)) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 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 #s(approx (- z y) (neg.f64 y)) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) #<representation:binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
3.0ms
z
@-inf
((* (/ z (- z y)) (+ y x)) (/ z (- z y)) (- z y) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y))
2.0ms
x
@-inf
((* (/ z (- z y)) (+ y x)) (/ z (- z y)) (- z y) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y))
2.0ms
x
@inf
((* (/ z (- z y)) (+ y x)) (/ z (- z y)) (- z y) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y))
1.0ms
x
@0
((* (/ z (- z y)) (+ y x)) (/ z (- z y)) (- z y) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y))
1.0ms
y
@inf
((* (/ z (- z y)) (+ y x)) (/ z (- z y)) (- z y) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y))

simplify237.0ms (3.3%)

Memory
7.9MiB live, 275.7MiB allocated
Algorithm
egg-herbie
Rules
14 838×lower-fma.f64
14 838×lower-fma.f32
4 568×lower-*.f64
4 568×lower-*.f32
3 968×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04085924
113075552
238504980
084374743
Stop Event
iter limit
node limit
Counts
468 → 439
Calls
Call 1
Inputs
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(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
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(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ x z)
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(* 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)))))))
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(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))))
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(* 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)))))))
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(/ (+ z (* -1 y)) z)
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1
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x
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x
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x
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1
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1
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1
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(* -1 (* y (+ 1 (* -1 (/ z y)))))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -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)))
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(* -1 z)
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(* -1 (/ (* x z) y))
(* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow z 3)) y)) (* x (pow z 2))) y)) (* x z)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 4)) y) (* -1 (* x (pow z 3)))) y)) (* x (pow z 2))) y)) (* x z)) y))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
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(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 z)
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(* -1 (/ (* x z) y))
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(* -1 (/ y z))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
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(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
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(+ x y)
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(/ x z)
(/ x z)
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(/ (* x z) (- z y))
(/ (* x z) (- z y))
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(/ (* x z) (- z y))
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(* -1 (* x (- (* -1 (/ y x)) 1)))
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(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
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(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
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(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
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Outputs
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(* 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)))))))
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(* 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)))))))
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(* -1 y)
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(- (+ 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)))))
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1
#s(literal 1 binary64)
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(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(+.f64 (/.f64 x (/.f64 (-.f64 z y) z)) (/.f64 y (/.f64 (-.f64 z y) z)))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(+.f64 (/.f64 x (/.f64 (-.f64 z y) z)) (/.f64 y (/.f64 (-.f64 z y) z)))
(/ (* x z) (- z y))
(*.f64 (/.f64 z (-.f64 z y)) x)
(* x (+ (/ z (- z y)) (/ (* y z) (* x (- z y)))))
(*.f64 (/.f64 z (-.f64 z y)) (fma.f64 (/.f64 y x) x x))
(* x (+ (/ z (- z y)) (/ (* y z) (* x (- z y)))))
(*.f64 (/.f64 z (-.f64 z y)) (fma.f64 (/.f64 y x) x x))
(* x (+ (/ z (- z y)) (/ (* y z) (* x (- z y)))))
(*.f64 (/.f64 z (-.f64 z y)) (fma.f64 (/.f64 y x) 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 x)))
(fma.f64 (/.f64 y x) x x)
(/ x (- 1 (/ y z)))
(/.f64 x (/.f64 (-.f64 z y) z))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(/ x (- 1 (/ y z)))
(/.f64 x (/.f64 (-.f64 z y) z))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(/ (* 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 (+ 1 (/ y z)))
(fma.f64 (/.f64 y z) x x)
(* x (+ 1 (/ y z)))
(fma.f64 (/.f64 y z) x x)
(* x (+ 1 (/ y z)))
(fma.f64 (/.f64 y z) x x)
(* x (+ 1 (/ y z)))
(fma.f64 (/.f64 y z) x x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x (- 1 (/ y z)))
(/.f64 x (/.f64 (-.f64 z y) z))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(/ (* 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) (- 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 (- 1 (/ y z)))
(/.f64 x (/.f64 (-.f64 z y) z))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(/ (* x z) (- z y))
(*.f64 (/.f64 z (-.f64 z y)) x)
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y)))))))
(*.f64 (/.f64 z (-.f64 z y)) (fma.f64 (/.f64 y x) x x))
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y)))))))
(*.f64 (/.f64 z (-.f64 z y)) (fma.f64 (/.f64 y x) x x))
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y)))))))
(*.f64 (/.f64 z (-.f64 z y)) (fma.f64 (/.f64 y x) x x))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(/ x (- 1 (/ y z)))
(/.f64 x (/.f64 (-.f64 z y) z))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(/ x (- 1 (/ y z)))
(/.f64 x (/.f64 (-.f64 z y) z))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(/ (* 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)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 y z) x x)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 y z) x x)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 y z) x x)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 y z) x x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x (- 1 (/ y z)))
(/.f64 x (/.f64 (-.f64 z y) z))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(/ (* 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) (- 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 (- 1 (/ y z)))
(/.f64 x (/.f64 (-.f64 z y) z))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))))

rewrite235.0ms (3.2%)

Memory
-25.1MiB live, 276.8MiB allocated
Rules
5 684×lower-/.f32
5 676×lower-/.f64
4 260×lower-*.f32
4 256×lower-*.f64
3 342×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027148
038148
1165148
21312148
08245148
Stop Event
iter limit
node limit
iter limit
Counts
15 → 803
Calls
Call 1
Inputs
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
(/.f64 z (-.f64 z y))
(-.f64 z y)
(+.f64 y x)
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
#s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))
(fma.f64 (/.f64 x z) y x)
(/.f64 x z)
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x))
(*.f64 (/.f64 z (-.f64 z y)) x)
(/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)))
(/.f64 #s(approx (- z y) (neg.f64 y)) z)
#s(approx (- z y) (neg.f64 y))
Outputs
(*.f64 (/.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (-.f64 z y)))
(*.f64 (/.f64 (+.f64 x y) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (pow.f64 (neg.f64 (-.f64 z y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (/.f64 (+.f64 x y) (neg.f64 (-.f64 z y))))
(*.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 z y))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 z) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) (/.f64 z (-.f64 z y)))
(*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 y z) (-.f64 z y))) (/.f64 z (pow.f64 (+.f64 y z) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 z (pow.f64 (+.f64 (hypot.f64 z y) (*.f64 y z)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) (/.f64 (-.f64 z y) z)) (/.f64 (+.f64 x y) (-.f64 (hypot.f64 x y) (*.f64 x y))))
(*.f64 (/.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) (/.f64 (-.f64 z y) z)) (/.f64 (+.f64 x y) (-.f64 (hypot.f64 y x) (*.f64 x y))))
(*.f64 (/.f64 (-.f64 (hypot.f64 y x) (*.f64 x y)) (/.f64 (-.f64 z y) z)) (/.f64 (+.f64 x y) (-.f64 (hypot.f64 x y) (*.f64 x y))))
(*.f64 (/.f64 (-.f64 (hypot.f64 y x) (*.f64 x y)) (/.f64 (-.f64 z y) z)) (/.f64 (+.f64 x y) (-.f64 (hypot.f64 y x) (*.f64 x y))))
(*.f64 (/.f64 (+.f64 x y) (pow.f64 z #s(literal -1 binary64))) (pow.f64 (-.f64 z y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 z y)) (/.f64 (+.f64 x y) (neg.f64 (pow.f64 z #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (-.f64 z y))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 z #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 z y)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (-.f64 z y) z)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (-.f64 z y))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 z #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (-.f64 z y)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 (-.f64 z y) z)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) #s(literal -1 binary64)) (neg.f64 (-.f64 z y))))
(*.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)) (neg.f64 (-.f64 z y))))
(*.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 z #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) #s(literal -1 binary64)) (-.f64 z y)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 z #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)) (-.f64 z y)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
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(pow.f64 (/.f64 (/.f64 (-.f64 z y) z) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) x)) (neg.f64 (neg.f64 (-.f64 z y))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x z))) (neg.f64 (neg.f64 (-.f64 z y))))
(/.f64 (neg.f64 (/.f64 x (-.f64 z y))) (neg.f64 (pow.f64 z #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 (neg.f64 (*.f64 x (neg.f64 z))) (neg.f64 (neg.f64 (-.f64 z y))))
(/.f64 (*.f64 (neg.f64 z) x) (neg.f64 (-.f64 z y)))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 z y) z))
(/.f64 (*.f64 x (neg.f64 z)) (neg.f64 (-.f64 z y)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 z y) z))
(/.f64 (neg.f64 (*.f64 x z)) (neg.f64 (-.f64 z y)))
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 (-.f64 z y) z))
(/.f64 (/.f64 x (-.f64 z y)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (*.f64 x z) (-.f64 z y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 z y) z) x)))
(/.f64 (neg.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 z y)) (*.f64 (neg.f64 z) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 z y) z) (*.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 z y) z) (*.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (-.f64 z y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (-.f64 z y) z) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 z y) z) x))
(/.f64 x (/.f64 (-.f64 z y) z))
(/.f64 z (/.f64 (-.f64 z y) x))
(neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 z y) z) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (- z y) (neg.f64 y))) (/.f64 x (neg.f64 (pow.f64 z #s(literal -1 binary64)))))
(*.f64 (/.f64 x (pow.f64 z #s(literal -1 binary64))) (pow.f64 #s(approx (- z y) (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (neg.f64 #s(approx (- z y) (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 z) #s(literal -1 binary64))))
(*.f64 (/.f64 x (neg.f64 #s(approx (- z y) (neg.f64 y)))) (neg.f64 z))
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 z #s(approx (- z y) (neg.f64 y))))
(*.f64 (pow.f64 #s(approx (- z y) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 x (pow.f64 z #s(literal -1 binary64))))
(*.f64 (pow.f64 #s(approx (- z y) (neg.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (/.f64 z #s(approx (- z y) (neg.f64 y))))
(*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) (*.f64 z #s(literal 1 binary64)))
(*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)
(*.f64 (*.f64 x z) (pow.f64 #s(approx (- z y) (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) (*.f64 x z)))))
(*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- z y) (neg.f64 y)) z)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))))
(*.f64 x (/.f64 z #s(approx (- z y) (neg.f64 y))))
(*.f64 z (/.f64 x #s(approx (- z y) (neg.f64 y))))
(pow.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) (*.f64 x z)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 x #s(approx (- z y) (neg.f64 y)))) (neg.f64 (pow.f64 z #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (/.f64 #s(approx (- z y) (neg.f64 y)) (neg.f64 z)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (/.f64 #s(approx (- z y) (neg.f64 y)) (neg.f64 z)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (- z y) (neg.f64 y)) z))
(/.f64 (neg.f64 (*.f64 x z)) (neg.f64 #s(approx (- z y) (neg.f64 y))))
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(approx (- z y) (neg.f64 y)) z))
(/.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) (*.f64 x z))))
(/.f64 (neg.f64 x) (/.f64 #s(approx (- z y) (neg.f64 y)) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) z) (*.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x #s(approx (- z y) (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) (*.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z y) (neg.f64 y)) (*.f64 x z)))
(/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))
(/.f64 z (/.f64 #s(approx (- z y) (neg.f64 y)) x))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 #s(approx (- z y) (neg.f64 y)) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(approx (- z y) (neg.f64 y)) (neg.f64 z))) (/.f64 (neg.f64 x) (/.f64 #s(approx (- z y) (neg.f64 y)) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) (*.f64 x z))) #s(literal -1 binary64)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 #s(approx (- z y) (neg.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(approx (- z y) (neg.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (*.f64 #s(approx (- z y) (neg.f64 y)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 #s(approx (- z y) (neg.f64 y)))) (pow.f64 z #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- z y) (neg.f64 y)) (neg.f64 z)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (- z y) (neg.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (- z y) (neg.f64 y)))
(*.f64 (neg.f64 #s(approx (- z y) (neg.f64 y))) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) z) #s(literal 1 binary64))
(*.f64 #s(approx (- z y) (neg.f64 y)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z y) (neg.f64 y)) z))
(pow.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) z) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 #s(approx (- z y) (neg.f64 y)) #s(literal 1 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- z y) (neg.f64 y))))) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (*.f64 #s(approx (- z y) (neg.f64 y)) #s(literal 1 binary64)) z)
(/.f64 (neg.f64 (neg.f64 #s(approx (- z y) (neg.f64 y)))) (neg.f64 (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z #s(approx (- z y) (neg.f64 y)))))
(/.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) (neg.f64 z)) #s(literal -1 binary64))
(/.f64 (neg.f64 #s(approx (- z y) (neg.f64 y))) (neg.f64 z))
(/.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) z) #s(literal 1 binary64))
(/.f64 #s(approx (- z y) (neg.f64 y)) (*.f64 z #s(literal 1 binary64)))
(/.f64 #s(approx (- z y) (neg.f64 y)) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (- z y) (neg.f64 y)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (- z y) (neg.f64 y))))
(neg.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) (neg.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(approx (- z y) (neg.f64 y)) (neg.f64 z)))
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (- z y) (neg.f64 y)))) #s(literal -1 binary64)))
#s(approx (- z y) (neg.f64 y))

eval278.0ms (3.8%)

Memory
11.3MiB live, 269.8MiB allocated
Compiler

Compiled 25 162 to 2 803 computations (88.9% saved)

prune44.0ms (0.6%)

Memory
17.4MiB live, 103.6MiB allocated
Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New1 42661 432
Fresh5510
Picked145
Done022
Total1 432171 449
Accuracy
100.0%
Counts
1 449 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.5%
(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y))
79.3%
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 z y)) (*.f64 (+.f64 x y) (neg.f64 z))))
18.1%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))))
42.7%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))))
16.6%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)))
42.7%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
47.9%
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)))
50.3%
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
42.7%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x))
16.6%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x))
15.8%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
47.9%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
35.3%
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
27.9%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
23.5%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y)))
2.6%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
49.0%
#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y))
Compiler

Compiled 231 to 218 computations (5.6% saved)

simplify299.0ms (4.1%)

Memory
-5.1MiB live, 159.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 (neg.f64 x) y) z)
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)))
cost-diff256
(+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))
cost-diff0
#s(approx (- z y) (neg.f64 y))
cost-diff0
(*.f64 x z)
cost-diff0
(/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))))
cost-diff0
#s(approx (- z y) (neg.f64 y))
cost-diff0
(/.f64 x #s(approx (- z y) (neg.f64 y)))
cost-diff0
(*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 y (/.f64 y z))
cost-diff0
#s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
cost-diff0
(-.f64 z y)
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 (+.f64 x y) z)
cost-diff0
(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y))
Rules
4 112×lower-fma.f64
4 112×lower-fma.f32
1 640×lower-*.f32
1 630×lower-*.f64
1 140×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035215
052215
194209
2175207
3309207
4558207
51228207
62702207
74529207
84992207
95047207
105073207
115097207
125227207
135523207
145691207
155787207
165787207
175787207
185787207
05787207
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y))
(*.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z
(-.f64 z y)
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
#s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))
(*.f64 y (/.f64 y z))
y
(/.f64 y z)
z
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
(*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)
(/.f64 x #s(approx (- z y) (neg.f64 y)))
x
#s(approx (- z y) (neg.f64 y))
(neg.f64 y)
y
z
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))))
(/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))
(*.f64 x z)
x
z
#s(approx (- z y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)))
(+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))
(neg.f64 z)
z
(*.f64 (/.f64 (neg.f64 x) y) z)
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
Outputs
(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
z
(-.f64 z y)
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y)))
#s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))
#s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y))
(*.f64 y (/.f64 y z))
(*.f64 (/.f64 y z) y)
y
(/.f64 y z)
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 z x) #s(approx (- z y) (neg.f64 y))))
(*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)
(/.f64 (*.f64 z x) #s(approx (- z y) (neg.f64 y)))
(/.f64 x #s(approx (- z y) (neg.f64 y)))
x
#s(approx (- z y) (neg.f64 y))
(neg.f64 y)
y
z
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) #s(approx (- z y) (neg.f64 y))))
(/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))
(/.f64 (*.f64 z x) #s(approx (- z y) (neg.f64 y)))
(*.f64 x z)
(*.f64 z x)
x
z
#s(approx (- z y) (neg.f64 y))
(neg.f64 y)
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 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
(+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
(neg.f64 z)
z
(*.f64 (/.f64 (neg.f64 x) y) z)
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y

localize113.0ms (1.6%)

Memory
-10.0MiB live, 152.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 x)
accuracy0.01171875
(+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))
accuracy4.802139840521551
(*.f64 (/.f64 (neg.f64 x) y) z)
accuracy31.176372325728224
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)))
accuracy0
(neg.f64 y)
accuracy7.889064886304447
(/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))
accuracy31.169587195762887
#s(approx (- z y) (neg.f64 y))
accuracy35.06358273304828
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))))
accuracy0.01953125
(/.f64 x #s(approx (- z y) (neg.f64 y)))
accuracy10.719257693179491
(*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)
accuracy31.169587195762887
#s(approx (- z y) (neg.f64 y))
accuracy35.06358273304828
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
accuracy0
(/.f64 y z)
accuracy0.1484375
(*.f64 y (/.f64 y z))
accuracy32.09968844453178
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
accuracy39.41607937277118
#s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))
accuracy0
(-.f64 z y)
accuracy0
(+.f64 x y)
accuracy0.00390625
(*.f64 (+.f64 x y) z)
accuracy13.142571758333036
(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y))
Samples
91.0ms256×0valid
Compiler

Compiled 146 to 28 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-div: 47.0ms (62.9% of total)
ival-mult: 16.0ms (21.4% of total)
ival-add: 6.0ms (8% of total)
ival-neg: 3.0ms (4% of total)
ival-sub: 2.0ms (2.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series76.0ms (1%)

Memory
3.5MiB live, 77.4MiB allocated
Counts
21 → 612
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) (patch (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) #<representation:binary64>) () ())
#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<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))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) (patch #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) #<representation:binary64>) () ())
#s(alt (*.f64 y (/.f64 y z)) (patch (*.f64 y (/.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))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)) #<representation:binary64>) () ())
#s(alt (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z) (patch (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z) #<representation:binary64>) () ())
#s(alt (/.f64 x #s(approx (- z y) (neg.f64 y))) (patch (/.f64 x #s(approx (- z y) (neg.f64 y))) #<representation:binary64>) () ())
#s(alt #s(approx (- z y) (neg.f64 y)) (patch #s(approx (- z y) (neg.f64 y)) #<representation:binary64>) () ())
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))) #<representation:binary64>) () ())
#s(alt (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))) (patch (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))) #<representation:binary64>) () ())
#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation:binary64>) () ())
#s(alt (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)) (patch (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)) #<representation:binary64>) () ())
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) #<representation:binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation:binary64>) () ())
#s(alt (*.f64 (/.f64 (neg.f64 x) y) z) (patch (*.f64 (/.f64 (neg.f64 x) y) z) #<representation:binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation:binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ())
Outputs
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) (patch (/.f64 (*.f64 (+.f64 x y) z) (-.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 (+.f64 x y) z) (-.f64 z y)) (patch (/.f64 (*.f64 (+.f64 x y) z) (-.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 (+.f64 x y) z) (-.f64 z y)) (patch (/.f64 (*.f64 (+.f64 x y) z) (-.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 (+.f64 x y) z) (-.f64 z y)) (patch (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) #<representation:binary64>) () ())) ())
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation:binary64>) () ())) ())
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation:binary64>) () ())) ())
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#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<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 (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) #<representation:binary64>) () ())) ())
#s(alt (/ (* y (+ x y)) z) (taylor 0 z) (#s(alt #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) (patch #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) #<representation:binary64>) () ())) ())
#s(alt (/ (+ (* y (+ x y)) (* z (+ x y))) z) (taylor 0 z) (#s(alt #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) (patch #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) #<representation:binary64>) () ())) ())
#s(alt (/ (+ (* y (+ x y)) (* z (+ x y))) z) (taylor 0 z) (#s(alt #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) (patch #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) #<representation:binary64>) () ())) ())
#s(alt (/ (+ (* y (+ x y)) (* z (+ x y))) z) (taylor 0 z) (#s(alt #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) (patch #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) #<representation:binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor 0 z) (#s(alt (*.f64 y (/.f64 y z)) (patch (*.f64 y (/.f64 y z)) #<representation:binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor 0 z) (#s(alt (*.f64 y (/.f64 y z)) (patch (*.f64 y (/.f64 y z)) #<representation:binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor 0 z) (#s(alt (*.f64 y (/.f64 y z)) (patch (*.f64 y (/.f64 y z)) #<representation:binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor 0 z) (#s(alt (*.f64 y (/.f64 y z)) (patch (*.f64 y (/.f64 y z)) #<representation:binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation:binary64>) () ())) ())
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#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))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.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 #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.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 #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.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 #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z) (patch (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z) #<representation:binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) (taylor 0 z) (#s(alt (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z) (patch (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z) #<representation:binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) (taylor 0 z) (#s(alt (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z) (patch (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z) #<representation:binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))) (taylor 0 z) (#s(alt (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z) (patch (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 z) (#s(alt (/.f64 x #s(approx (- z y) (neg.f64 y))) (patch (/.f64 x #s(approx (- z y) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))) (taylor 0 z) (#s(alt (/.f64 x #s(approx (- z y) (neg.f64 y))) (patch (/.f64 x #s(approx (- z y) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 x #s(approx (- z y) (neg.f64 y))) (patch (/.f64 x #s(approx (- z y) (neg.f64 y))) #<representation:binary64>) () ())) ())
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#s(alt (* -1 y) (taylor 0 z) (#s(alt #s(approx (- z y) (neg.f64 y)) (patch #s(approx (- z y) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (- z y) (taylor 0 z) (#s(alt #s(approx (- z y) (neg.f64 y)) (patch #s(approx (- z y) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (- z y) (taylor 0 z) (#s(alt #s(approx (- z y) (neg.f64 y)) (patch #s(approx (- z y) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (- z y) (taylor 0 z) (#s(alt #s(approx (- z y) (neg.f64 y)) (patch #s(approx (- z y) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))) #<representation:binary64>) () ())) ())
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#s(alt (* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))) (patch (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))) #<representation:binary64>) () ())) ())
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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 #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) #<representation:binary64>) () ())) ())
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#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z) (patch (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z) #<representation:binary64>) () ())) ())
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z) (patch (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z) #<representation:binary64>) () ())) ())
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z) (patch (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z) #<representation:binary64>) () ())) ())
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z) (patch (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z) #<representation:binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (- z y) (neg.f64 y))) (patch (/.f64 x #s(approx (- z y) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (- z y) (neg.f64 y))) (patch (/.f64 x #s(approx (- z y) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (- z y) (neg.f64 y))) (patch (/.f64 x #s(approx (- z y) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (- z y) (neg.f64 y))) (patch (/.f64 x #s(approx (- z y) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))) #<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 x z) #s(approx (- z y) (neg.f64 y)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))) #<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 x z) #s(approx (- z y) (neg.f64 y)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))) #<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 x z) #s(approx (- z y) (neg.f64 y)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))) #<representation:binary64>) () ())) ())
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))) (patch (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))) (patch (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))) (patch (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))) (patch (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation:binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation:binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation:binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor -inf x) (#s(alt (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)) (patch (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (/ z x) (/ z y)))) (taylor -inf x) (#s(alt (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)) (patch (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (/ z x) (/ z y)))) (taylor -inf x) (#s(alt (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)) (patch (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (/ z x) (/ z y)))) (taylor -inf x) (#s(alt (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)) (patch (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)) #<representation:binary64>) () ())) ())
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.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 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.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 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.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 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 x) y) z) (patch (*.f64 (/.f64 (neg.f64 x) y) z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 x) y) z) (patch (*.f64 (/.f64 (neg.f64 x) y) z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 x) y) z) (patch (*.f64 (/.f64 (neg.f64 x) y) z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 x) y) z) (patch (*.f64 (/.f64 (neg.f64 x) y) z) #<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
34.0ms
z
@-inf
((/ (* (+ x y) z) (- z y)) (* (+ x y) z) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* y (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (/ (* x z) (- z y)) (* x z) (+ (neg z) (* (/ (neg x) y) z)) (/ (+ x y) (- 1 (/ y z))) (neg z) (* (/ (neg x) y) z) (neg y) (neg x))
7.0ms
y
@-inf
((/ (* (+ x y) z) (- z y)) (* (+ x y) z) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* y (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (/ (* x z) (- z y)) (* x z) (+ (neg z) (* (/ (neg x) y) z)) (/ (+ x y) (- 1 (/ y z))) (neg z) (* (/ (neg x) y) z) (neg y) (neg x))
2.0ms
x
@-inf
((/ (* (+ x y) z) (- z y)) (* (+ x y) z) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* y (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (/ (* x z) (- z y)) (* x z) (+ (neg z) (* (/ (neg x) y) z)) (/ (+ x y) (- 1 (/ y z))) (neg z) (* (/ (neg x) y) z) (neg y) (neg x))
2.0ms
x
@inf
((/ (* (+ x y) z) (- z y)) (* (+ x y) z) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* y (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (/ (* x z) (- z y)) (* x z) (+ (neg z) (* (/ (neg x) y) z)) (/ (+ x y) (- 1 (/ y z))) (neg z) (* (/ (neg x) y) z) (neg y) (neg x))
2.0ms
y
@inf
((/ (* (+ x y) z) (- z y)) (* (+ x y) z) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* y (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (/ (* x z) (- z y)) (* x z) (+ (neg z) (* (/ (neg x) y) z)) (/ (+ x y) (- 1 (/ y z))) (neg z) (* (/ (neg x) y) z) (neg y) (neg x))

simplify378.0ms (5.2%)

Memory
-24.8MiB live, 340.7MiB allocated
Algorithm
egg-herbie
Rules
12 744×lower-fma.f64
12 744×lower-fma.f32
5 524×lower-*.f64
5 524×lower-*.f32
3 402×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04426672
114616287
243975840
082765590
Stop Event
iter limit
node limit
Counts
612 → 588
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)))))))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* -1 y)
(- z y)
(- z y)
(- z y)
(* -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)))))))
(/ (* y (+ x y)) z)
(/ (+ (* y (+ x y)) (* z (+ x y))) z)
(/ (+ (* y (+ x y)) (* z (+ x y))) z)
(/ (+ (* y (+ x y)) (* z (+ x y))) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) 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 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))))
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))))
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))))
(* -1 (/ x y))
(+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))
(+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))
(+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))
(* -1 y)
(- z y)
(- z y)
(- z y)
(* -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 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))))
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))))
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))))
(* x z)
(* x z)
(* x z)
(* x z)
(* z (- (* -1 (/ x y)) 1))
(* z (- (* -1 (/ x y)) 1))
(* z (- (* -1 (/ x y)) 1))
(* z (- (* -1 (/ x 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 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x 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)))))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
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 (/ (* (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)))))
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(+ x (+ y (/ (* y (+ x y)) z)))
(+ x (+ y (/ (* y (+ x y)) z)))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) 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)))))
x
(+ x (/ (* x y) z))
(- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z)))
(- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2)))))
(/ x z)
(/ (+ x (/ (* x y) z)) z)
(/ (- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))) z)
(/ (- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2))))) 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 (/ (* (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)))))
x
(+ x (/ (* x y) z))
(- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z)))
(- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2)))))
(* x z)
(* x z)
(* x z)
(* x z)
(* z (- (* -1 (/ x y)) 1))
(* z (- (* -1 (/ x y)) 1))
(* z (- (* -1 (/ x y)) 1))
(* z (- (* -1 (/ x y)) 1))
(+ 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)
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(+ 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))))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
z
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
(+ 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))))
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(+ x (+ y (/ (* y (+ x y)) z)))
(+ x (+ y (/ (* y (+ x y)) z)))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) 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))))
x
(+ x (/ (* x y) z))
(+ x (* -1 (/ (- (* -1 (/ (* x (pow y 2)) z)) (* x y)) z)))
(+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) z) (* -1 (* x (pow y 2)))) z)) (* x y)) z)))
(/ x z)
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Outputs
(* -1 (/ (* z (+ x y)) y))
(*.f64 (-.f64 (neg.f64 x) y) (/.f64 z y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(*.f64 (neg.f64 z) (fma.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 (+.f64 y x) y)))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
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(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* x (+ 1 (/ y z)))
(fma.f64 (/.f64 x z) y x)
(* x (+ 1 (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z))))))
(fma.f64 (+.f64 (fma.f64 (/.f64 y x) (/.f64 y z) (/.f64 y z)) (/.f64 y x)) x x)
(* x (+ 1 (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z))))))
(fma.f64 (+.f64 (fma.f64 (/.f64 y x) (/.f64 y z) (/.f64 y z)) (/.f64 y x)) x x)
(* x (+ 1 (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z))))))
(fma.f64 (+.f64 (fma.f64 (/.f64 y x) (/.f64 y z) (/.f64 y z)) (/.f64 y x)) x x)
(/ x (- 1 (/ y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 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 y))
(/.f64 x (-.f64 z y))
(/ x (- z y))
(/.f64 x (-.f64 z y))
(/ x (- z y))
(/.f64 x (-.f64 z y))
(/ x (- z y))
(/.f64 x (-.f64 z y))
(/ x (- 1 (/ y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 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)
(* -1 (/ (* x z) y))
(*.f64 (/.f64 (neg.f64 z) y) x)
(* x (+ (* -1 (/ z x)) (* -1 (/ z y))))
(*.f64 (+.f64 (/.f64 z x) (/.f64 z y)) (neg.f64 x))
(* x (+ (* -1 (/ z x)) (* -1 (/ z y))))
(*.f64 (+.f64 (/.f64 z x) (/.f64 z y)) (neg.f64 x))
(* x (+ (* -1 (/ z x)) (* -1 (/ z y))))
(*.f64 (+.f64 (/.f64 z x) (/.f64 z y)) (neg.f64 x))
(/ x (- 1 (/ y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* -1 (/ (* x z) y))
(*.f64 (/.f64 (neg.f64 z) y) x)
(* -1 (/ (* x z) y))
(*.f64 (/.f64 (neg.f64 z) y) x)
(* -1 (/ (* x z) y))
(*.f64 (/.f64 (neg.f64 z) y) x)
(* -1 (/ (* x z) y))
(*.f64 (/.f64 (neg.f64 z) y) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ (* x z) (- z y))
(*.f64 (/.f64 z (-.f64 z y)) x)
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y)))))))
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))) x)
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y)))))))
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))) x)
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y)))))))
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))) x)
(* x z)
(*.f64 x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (fma.f64 (/.f64 z x) y z) x)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (fma.f64 (/.f64 z x) y z) x)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (fma.f64 (/.f64 z x) y z) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 (neg.f64 y) x) (neg.f64 x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 (neg.f64 y) x) (neg.f64 x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 (neg.f64 y) x) (neg.f64 x) 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))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 x z) y x)
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1)))
(fma.f64 (-.f64 (/.f64 (fma.f64 y (/.f64 y z) y) (neg.f64 x)) (/.f64 y z)) (neg.f64 x) x)
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1)))
(fma.f64 (-.f64 (/.f64 (fma.f64 y (/.f64 y z) y) (neg.f64 x)) (/.f64 y z)) (neg.f64 x) x)
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1)))
(fma.f64 (-.f64 (/.f64 (fma.f64 y (/.f64 y z) y) (neg.f64 x)) (/.f64 y z)) (neg.f64 x) 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))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 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 y))
(/.f64 x (-.f64 z y))
(/ x (- z y))
(/.f64 x (-.f64 z y))
(/ x (- z y))
(/.f64 x (-.f64 z y))
(/ x (- z y))
(/.f64 x (-.f64 z y))
(/ 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))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 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)
(* -1 (/ (* x z) y))
(*.f64 (/.f64 (neg.f64 z) y) x)
(* -1 (* x (+ (/ z x) (/ z y))))
(*.f64 (+.f64 (/.f64 z x) (/.f64 z y)) (neg.f64 x))
(* -1 (* x (+ (/ z x) (/ z y))))
(*.f64 (+.f64 (/.f64 z x) (/.f64 z y)) (neg.f64 x))
(* -1 (* x (+ (/ z x) (/ z y))))
(*.f64 (+.f64 (/.f64 z x) (/.f64 z y)) (neg.f64 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))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* -1 (/ (* x z) y))
(*.f64 (/.f64 (neg.f64 z) y) x)
(* -1 (/ (* x z) y))
(*.f64 (/.f64 (neg.f64 z) y) x)
(* -1 (/ (* x z) y))
(*.f64 (/.f64 (neg.f64 z) y) x)
(* -1 (/ (* x z) y))
(*.f64 (/.f64 (neg.f64 z) y) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

rewrite170.0ms (2.3%)

Memory
19.0MiB live, 281.5MiB allocated
Rules
5 110×lower-*.f32
5 100×lower-*.f64
4 954×lower-/.f32
4 944×lower-/.f64
2 408×lower--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035189
052189
1204183
21677183
08086183
Stop Event
iter limit
node limit
iter limit
Counts
21 → 422
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y))
(*.f64 (+.f64 x y) z)
(+.f64 x y)
(-.f64 z y)
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
#s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))
(*.f64 y (/.f64 y z))
(/.f64 y z)
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
(*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)
(/.f64 x #s(approx (- z y) (neg.f64 y)))
#s(approx (- z y) (neg.f64 y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))))
(/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))
(*.f64 x z)
(+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)))
(neg.f64 z)
(*.f64 (/.f64 (neg.f64 x) y) z)
(neg.f64 y)
(neg.f64 x)
Outputs
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)) (/.f64 z (-.f64 z y)))
(*.f64 (/.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (-.f64 z y)))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 y x)) (-.f64 z y)))
(*.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 z y) (-.f64 z y))) (/.f64 z (pow.f64 (+.f64 z y) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 z (pow.f64 (+.f64 (hypot.f64 z y) (*.f64 z y)) #s(literal -1 binary64))))
(*.f64 (/.f64 z (*.f64 (+.f64 z y) (-.f64 z y))) (/.f64 (+.f64 y x) (pow.f64 (+.f64 z y) #s(literal -1 binary64))))
(*.f64 (/.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (+.f64 y x) (pow.f64 (+.f64 (hypot.f64 z y) (*.f64 z y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 z (+.f64 y x)) (*.f64 (+.f64 z y) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 z y) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 z (+.f64 y x)) (*.f64 (+.f64 z y) (-.f64 z y))) (+.f64 z y))
(*.f64 (/.f64 (*.f64 z (+.f64 y x)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (hypot.f64 z y) (*.f64 z y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 z (+.f64 y x)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (hypot.f64 z y) (*.f64 z y)))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (+.f64 y x) (-.f64 z y)))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
(*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 z (+.f64 y x)))
(*.f64 (*.f64 (neg.f64 z) (+.f64 y x)) (pow.f64 (neg.f64 (-.f64 z y)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)))
(*.f64 (*.f64 z (+.f64 y x)) (pow.f64 (-.f64 z y) #s(literal -1 binary64)))
(*.f64 z (/.f64 (+.f64 y x) (-.f64 z y)))
(*.f64 z (*.f64 (+.f64 y x) (pow.f64 (-.f64 z y) #s(literal -1 binary64))))
(*.f64 (+.f64 y x) (/.f64 z (-.f64 z y)))
(pow.f64 (/.f64 (/.f64 (/.f64 (-.f64 z y) z) (+.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 z y) z) (+.f64 y x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 z (-.f64 z y)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 z (-.f64 z y)))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 z (-.f64 z y)))) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x))))
(/.f64 (neg.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 z (-.f64 z y)))) (neg.f64 (-.f64 (hypot.f64 x y) (*.f64 y x))))
(/.f64 (neg.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64))) (neg.f64 (-.f64 z y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 z) (+.f64 y x)))) (neg.f64 (neg.f64 (neg.f64 (-.f64 z y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z)) (neg.f64 (*.f64 (-.f64 y x) (-.f64 z y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) z)) (neg.f64 (*.f64 (-.f64 x y) (-.f64 z y))))
(/.f64 (neg.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) z)) (neg.f64 (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (-.f64 z y))))
(/.f64 (neg.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) z)) (neg.f64 (*.f64 (-.f64 (hypot.f64 x y) (*.f64 y x)) (-.f64 z y))))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 z (-.f64 z y))) (-.f64 y x))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 z (-.f64 z y))) (-.f64 x y))
(/.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 z (-.f64 z y))) (-.f64 (hypot.f64 y x) (*.f64 y x)))
(/.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 z (-.f64 z y))) (-.f64 (hypot.f64 x y) (*.f64 y x)))
(/.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64)) (-.f64 z y))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (+.f64 y x))) (neg.f64 (neg.f64 (-.f64 z y))))
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(pow.f64 (/.f64 y (*.f64 (neg.f64 x) z)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 (neg.f64 y) x)))
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (/.f64 (neg.f64 y) x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) z))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) z)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) z) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) z) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (neg.f64 x) z))))
(/.f64 (neg.f64 z) (neg.f64 (/.f64 (neg.f64 y) x)))
(/.f64 (*.f64 z x) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 x) z)))
(/.f64 z (/.f64 (neg.f64 y) x))
(neg.f64 (*.f64 z (/.f64 x y)))
(neg.f64 (*.f64 (/.f64 x y) z))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 z x) y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(neg.f64 y)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))

eval178.0ms (2.5%)

Memory
16.0MiB live, 326.5MiB allocated
Compiler

Compiled 14 290 to 1 822 computations (87.2% saved)

prune58.0ms (0.8%)

Memory
-14.3MiB live, 83.6MiB allocated
Pruning

18 alts after pruning (9 fresh and 9 done)

PrunedKeptTotal
New1 05141 055
Fresh156
Picked235
Done066
Total1 054181 072
Accuracy
100.0%
Counts
1 072 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.0%
(/.f64 #s(approx (* (+ x y) z) (*.f64 y z)) (-.f64 z y))
79.3%
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 z y)) (*.f64 (+.f64 x y) (neg.f64 z))))
18.1%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))))
42.7%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))))
16.6%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)))
42.7%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
47.9%
#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (*.f64 (/.f64 (neg.f64 x) y) z) z))
50.3%
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
42.7%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x))
16.6%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x))
15.8%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
47.9%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
26.7%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ x (- z y)) (/.f64 x z)) z))
35.3%
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
27.9%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
23.5%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y)))
2.6%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
49.0%
#s(approx (/ (* (+ x y) z) (- z y)) (*.f64 (/.f64 z (-.f64 z y)) y))
Compiler

Compiled 469 to 254 computations (45.8% saved)

regimes67.0ms (0.9%)

Memory
-10.2MiB live, 66.2MiB allocated
Counts
36 → 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))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ x (- z y)) (/.f64 x z)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 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 z #s(approx (- z y) (neg.f64 y))) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))))
#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y))
#s(approx (/ (* (+ x y) z) (- z y)) (*.f64 (/.f64 z (-.f64 z y)) y))
#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 z (-.f64 z y)) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y)))
(/.f64 #s(approx (* (+ x y) z) (*.f64 y z)) (-.f64 z y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x)))
#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))
(/.f64 (*.f64 (+.f64 x y) z) (-.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))) (/.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 #s(literal 1 binary64) (/.f64 y 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 x (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))
(/.f64 (+.f64 x y) (*.f64 (neg.f64 (-.f64 z y)) (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 z y)) (*.f64 (+.f64 x y) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (/.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))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) z) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 (/.f64 z (-.f64 z y)) (+.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 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Calls

4 calls:

25.0ms
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
19.0ms
x
10.0ms
z
10.0ms
y
Results
AccuracySegmentsBranch
89.1%1x
92.8%2y
97.5%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)

regimes11.0ms (0.2%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
34 → 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))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ x (- z y)) (/.f64 x z)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 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 z #s(approx (- z y) (neg.f64 y))) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))))
#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y))
#s(approx (/ (* (+ x y) z) (- z y)) (*.f64 (/.f64 z (-.f64 z y)) y))
#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 z (-.f64 z y)) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y)))
(/.f64 #s(approx (* (+ x y) z) (*.f64 y z)) (-.f64 z y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x)))
#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))
(/.f64 (*.f64 (+.f64 x y) z) (-.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))) (/.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 #s(literal 1 binary64) (/.f64 y 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 x (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))
(/.f64 (+.f64 x y) (*.f64 (neg.f64 (-.f64 z y)) (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 z y)) (*.f64 (+.f64 x y) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))
Outputs
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Calls

1 calls:

9.0ms
(/.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)

regimes10.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated
Counts
29 → 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))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ x (- z y)) (/.f64 x z)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 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 z #s(approx (- z y) (neg.f64 y))) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))))
#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y))
#s(approx (/ (* (+ x y) z) (- z y)) (*.f64 (/.f64 z (-.f64 z y)) y))
#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 z (-.f64 z y)) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y)))
(/.f64 #s(approx (* (+ x y) z) (*.f64 y z)) (-.f64 z y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x)))
#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))
(/.f64 (*.f64 (+.f64 x y) z) (-.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))) (/.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 #s(literal 1 binary64) (/.f64 y 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 x (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))))
Outputs
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
Calls

1 calls:

8.0ms
(/.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)

regimes7.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated
Counts
20 → 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))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ x (- z y)) (/.f64 x z)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 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 z #s(approx (- z y) (neg.f64 y))) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))))
#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y))
#s(approx (/ (* (+ x y) z) (- z y)) (*.f64 (/.f64 z (-.f64 z y)) y))
#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 z (-.f64 z y)) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y)))
(/.f64 #s(approx (* (+ x y) z) (*.f64 y z)) (-.f64 z y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x)))
#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))
Outputs
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
#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))
Calls

1 calls:

6.0ms
(/.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)

regimes77.0ms (1.1%)

Memory
-8.6MiB live, 34.1MiB allocated
Counts
19 → 4
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))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ x (- z y)) (/.f64 x z)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 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 z #s(approx (- z y) (neg.f64 y))) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))))
#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y))
#s(approx (/ (* (+ x y) z) (- z y)) (*.f64 (/.f64 z (-.f64 z y)) y))
#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 z (-.f64 z y)) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y)))
(/.f64 #s(approx (* (+ x y) z) (*.f64 y z)) (-.f64 z y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (*.f64 (/.f64 (neg.f64 x) y) z) z))
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 (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
Calls

4 calls:

58.0ms
z
6.0ms
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
6.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
74.9%5x
81.0%4y
72.9%3z
66.1%4(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes5.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated
Counts
13 → 4
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))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ x (- z y)) (/.f64 x z)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 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 z #s(approx (- z y) (neg.f64 y))) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))))
#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y))
#s(approx (/ (* (+ x y) z) (- z y)) (*.f64 (/.f64 z (-.f64 z y)) y))
Outputs
#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
75.2%4y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes15.0ms (0.2%)

Memory
-16.0MiB live, 21.4MiB allocated
Counts
11 → 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))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ x (- z y)) (/.f64 x z)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 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 z #s(approx (- z y) (neg.f64 y))) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))))
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:

4.0ms
x
4.0ms
y
4.0ms
z
Results
AccuracySegmentsBranch
54.3%3x
63.1%3z
70.6%3y
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB 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
x
1.0ms
y
1.0ms
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
1.0ms
z
Results
AccuracySegmentsBranch
35.3%1x
35.3%1z
35.3%1(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
35.3%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0
1.4333611895966564e-280
0.0ms
-6.945824212405887e-297
-0.0
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0
1.4333611895966564e-280
0.0ms
-6.945824212405887e-297
-0.0
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0
1.4333611895966564e-280
0.0ms
-6.945824212405887e-297
-0.0
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0
1.4333611895966564e-280
0.0ms
-6.945824212405887e-297
-0.0
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch251.0ms (3.5%)

Memory
-25.7MiB live, 46.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.0048934153040224e+108
2.639320468543873e+116
6.0ms
1.968216407593152e-14
3.964607396912787e-14
131.0ms
-1.3134931081109122e-15
-3.522195679522511e-31
Samples
136.0ms384×0valid
Compiler

Compiled 336 to 387 computations (-15.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 5.0ms (53.5% of total)
ival-sub: 2.0ms (21.4% of total)
ival-add: 2.0ms (21.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch138.0ms (1.9%)

Memory
-8.1MiB live, 39.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
2.7124740862144626e+198
1.1471801297976132e+200
0.0ms
1.968216407593152e-14
3.964607396912787e-14
12.0ms
-1.3134931081109122e-15
-3.522195679522511e-31
Samples
12.0ms255×0valid
0.0ms1valid
Compiler

Compiled 269 to 322 computations (-19.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 3.0ms (47.5% of total)
ival-add: 1.0ms (15.8% of total)
ival-sub: 1.0ms (15.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch27.0ms (0.4%)

Memory
16.9MiB live, 55.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
7.088654447503713e+92
4.894114014692826e+101
11.0ms
-1.3134931081109122e-15
-3.522195679522511e-31
Samples
14.0ms271×0valid
0.0ms1valid
Compiler

Compiled 145 to 242 computations (-66.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (58.6% of total)
ival-add: 2.0ms (29.3% of total)
ival-sub: 1.0ms (14.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify57.0ms (0.8%)

Memory
22.7MiB live, 61.0MiB allocated
Algorithm
egg-herbie
Rules
52×+-commutative-binary64-+.f64
46×*-commutative-binary64-*.f64
40×sub-neg-binary64-neg.f64-+.f64--.f64
34×neg-sub0-binary64--.f64-neg.f64
34×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081436
1111436
2139436
3176436
4194436
5208436
6219436
7229436
8236436
9241436
10242436
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736 binary64)) (*.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 0 binary64)) #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 (+.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 -3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736 binary64)) (*.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 0 binary64)) (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) (/.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 -3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736 binary64)) (*.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 0 binary64)) (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) (*.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 -3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736 binary64)) (*.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 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 y #s(literal -6646139978924579/664613997892457936451903530140172288 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal 713053462628379/19807040628566084398385987584 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 y #s(literal 2500000000000000038898540323667107560670503492302653583424426451077084452911889258162463474787618619190515702169600 binary64)) #s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)))))
(if (<=.f64 y #s(literal -5988969657808517/5444517870735015415413993718908291383296 binary64)) #s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) (if (<=.f64 y #s(literal 713053462628379/19807040628566084398385987584 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 y #s(literal 4100000000000000164844869163613784490981447793908530135876567832469587006355328277921586438896576376693529241339660582611262805627195970218753946366009573231490835682761908711702665680006763436310528 binary64)) #s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)))))
(if (<=.f64 y #s(literal -6591783121186793/5070602400912917605986812821504 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 2599999999999999963640761196346624084995333953685016895646871602928857230691802686255330788114432 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 -3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736 binary64)) (*.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 0 binary64)) #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 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736 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))) (neg.f64 (+.f64 (/.f64 (*.f64 (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 z x) z) y) x) z) z) y) z))) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736 binary64)) (*.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 0 binary64)) (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736 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)) (/.f64 (*.f64 z (+.f64 y x)) (-.f64 z y)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736 binary64)) (*.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 0 binary64)) (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) (*.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 -3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736 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)) (/.f64 (*.f64 z (+.f64 y x)) (-.f64 z y)) (*.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 -3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736 binary64)) (*.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 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 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736 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 y #s(literal -6646139978924579/664613997892457936451903530140172288 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal 713053462628379/19807040628566084398385987584 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 y #s(literal 2500000000000000038898540323667107560670503492302653583424426451077084452911889258162463474787618619190515702169600 binary64)) #s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)))))
(if (<=.f64 y #s(literal -5988969657808517/5444517870735015415413993718908291383296 binary64)) #s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) (if (<=.f64 y #s(literal 713053462628379/19807040628566084398385987584 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 y #s(literal 4100000000000000164844869163613784490981447793908530135876567832469587006355328277921586438896576376693529241339660582611262805627195970218753946366009573231490835682761908711702665680006763436310528 binary64)) #s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)))))
(if (<=.f64 y #s(literal -6591783121186793/5070602400912917605986812821504 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 2599999999999999963640761196346624084995333953685016895646871602928857230691802686255330788114432 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))

soundness1.2s (15.9%)

Memory
-39.5MiB live, 963.8MiB allocated
Rules
17 244×lower-fma.f64
17 244×lower-fma.f32
14 838×lower-fma.f64
14 838×lower-fma.f32
5 684×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0181958
1589915
21844852
37144833
08245790
0820
01220
15620
243220
3770520
0802520
028144
045145
1205140
21849140
08294140
04085924
113075552
238504980
084374743
035189
052189
1204183
21677183
08086183
027148
038148
1165148
21312148
08245148
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 783 to 370 computations (52.7% saved)

preprocess78.0ms (1.1%)

Memory
8.7MiB live, 208.8MiB allocated
Compiler

Compiled 704 to 196 computations (72.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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