Numeric.SpecFunctions:invErfc from math-functions-0.1.5.2, A

Time bar (total: 9.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze108.0ms (1.1%)

Memory
-3.2MiB live, 200.4MiB allocated
Algorithm
1×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
31.3%31.2%68.6%0.1%0%0%0%5
43.8%43.7%56.2%0.1%0%0%0%6
53.1%53%46.8%0.1%0%0%0%7
59.4%59.3%40.6%0.1%0%0%0%8
68%67.9%32%0.1%0%0%0%9
73.6%73.5%26.3%0.1%0%0%0%10
78.2%78.1%21.7%0.1%0%0%0%11
83.3%83.1%16.7%0.1%0%0%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample1.8s (18.6%)

Memory
38.8MiB live, 1 795.2MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 752.0ms
ival-exp: 279.0ms (37.1% of total)
const: 174.0ms (23.1% of total)
ival-mult: 121.0ms (16.1% of total)
ival-add: 77.0ms (10.2% of total)
ival-div: 58.0ms (7.7% of total)
ival-sub: 34.0ms (4.5% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain208.0ms (2.1%)

Memory
-62.2MiB live, 273.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
350-1(2.0266013917939452e-268 -1.2772946664302059e-50 -4.317371470941258e+134)(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
40-0-(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
00-0-#s(literal 5641895835477563/5000000000000000 binary64)
00-0-(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
00-0-z
00-0-(*.f64 x y)
00-0-(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
00-0-y
00-0-x
00-0-(exp.f64 z)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))n/u60
↳(exp.f64 z)underflow65
↳(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))underflow65
↳(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))underflow6
↳(*.f64 x y)underflow30
-.f64(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))nan-rescue40
↳(exp.f64 z)overflow73
↳(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))overflow73
↳(*.f64 x y)overflow38
Confusion
Predicted +Predicted -
+101
-0245
Precision
1.0
Recall
0.9090909090909091
Confusion?
Predicted +Predicted MaybePredicted -
+1001
-00245
Precision?
1.0
Recall?
0.9090909090909091
Freqs
test
numberfreq
0246
110
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
60.0ms512×0valid
Compiler

Compiled 102 to 34 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-exp: 19.0ms (45.9% of total)
const: 8.0ms (19.3% of total)
ival-mult: 6.0ms (14.5% of total)
ival-div: 3.0ms (7.3% of total)
ival-sub: 2.0ms (4.8% of total)
ival-add: 2.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess89.0ms (0.9%)

Memory
30.9MiB live, 67.4MiB allocated
Algorithm
1×egg-herbie
Rules
304×lower-fma.f64
304×lower-fma.f32
256×distribute-lft-neg-in
240×sub-neg
214×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042115
1107109
2203109
3452108
4842108
51460108
61986108
72307108
82374108
92397108
102403108
112403108
01012
01612
12412
23612
34812
47112
510112
616012
722812
832112
942912
1059212
1160512
1262012
1366712
066711
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶95.8%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify58.0ms (0.6%)

Memory
-20.4MiB live, 18.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
cost-diff0
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
cost-diff0
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
cost-diff128
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Rules
304×lower-fma.f64
304×lower-fma.f32
192×lower-*.f32
188×lower-*.f64
88×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01043
01643
12443
23643
34843
47143
510143
616043
722843
832143
942943
1059243
1160543
1262043
1366743
066742
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
x
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
y
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
#s(literal 5641895835477563/5000000000000000 binary64)
(exp.f64 z)
z
(*.f64 x y)
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))
x
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))
y
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
(neg.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
(exp.f64 z)
z
(*.f64 x y)
(*.f64 y x)

localize35.0ms (0.4%)

Memory
-1.5MiB live, 36.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 z)
accuracy0.0078125
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
accuracy0.8046875000000001
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
accuracy8.1879898698641
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
Samples
28.0ms256×0valid
Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sub: 7.0ms (38.2% of total)
const: 4.0ms (21.8% of total)
ival-mult: 3.0ms (16.4% of total)
ival-div: 2.0ms (10.9% of total)
ival-exp: 2.0ms (10.9% of total)
ival-add: 1.0ms (5.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
-14.2MiB live, 26.4MiB allocated
Counts
5 → 132
Calls
Call 1
Inputs
#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #<representation:binary64>) () ())
#s(alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (patch (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #<representation:binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation:binary64>) () ())
#s(alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (patch (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #<representation:binary64>) () ())
#s(alt (exp.f64 z) (patch (exp.f64 z) #<representation:binary64>) () ())
Outputs
#s(alt (+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #<representation:binary64>) () ())) ())
#s(alt (/ y (- 5641895835477563/5000000000000000 (* x y))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (patch (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (patch (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (patch (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (patch (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #<representation:binary64>) () ())) ())
#s(alt (- 5641895835477563/5000000000000000 (* x y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt 5641895835477563/5000000000000000 (taylor 0 z) (#s(alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (patch (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #<representation:binary64>) () ())) ())
#s(alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (taylor 0 z) (#s(alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (patch (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #<representation:binary64>) () ())) ())
#s(alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (taylor 0 z) (#s(alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (patch (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #<representation:binary64>) () ())) ())
#s(alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (taylor 0 z) (#s(alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (patch (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (exp.f64 z) (patch (exp.f64 z) #<representation:binary64>) () ())) ())
#s(alt (+ 1 z) (taylor 0 z) (#s(alt (exp.f64 z) (patch (exp.f64 z) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* z (+ 1 (* 1/2 z)))) (taylor 0 z) (#s(alt (exp.f64 z) (patch (exp.f64 z) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (taylor 0 z) (#s(alt (exp.f64 z) (patch (exp.f64 z) #<representation:binary64>) () ())) ())
#s(alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (taylor inf z) (#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation:binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
2.0ms
y
@inf
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (exp z))
2.0ms
z
@0
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (exp z))
1.0ms
z
@inf
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (exp z))
1.0ms
x
@-inf
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (exp z))
1.0ms
y
@-inf
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (exp z))

simplify188.0ms (1.9%)

Memory
34.8MiB live, 301.6MiB allocated
Algorithm
1×egg-herbie
Rules
8 782×lower-fma.f64
8 782×lower-fma.f32
5 312×lower-*.f64
5 312×lower-*.f32
2 906×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03161995
19041975
226471891
083231801
Stop Event
1×iter limit
1×node limit
Counts
132 → 129
Calls
Call 1
Inputs
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(/ y (- 5641895835477563/5000000000000000 (* x y)))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(- 5641895835477563/5000000000000000 (* x y))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
1
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(exp z)
(exp z)
(exp z)
(exp z)
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(exp z)
(exp z)
(exp z)
(exp z)
x
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(* y (+ (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(- x (/ 1 x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(/ -1 x)
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))
(- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(* -1 (* x y))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(- x (/ 1 x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))
(/ -1 x)
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))
(- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))
(* -1 (* x y))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(/ -1 x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
(* -1 (* x y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (* x y))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
Outputs
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) x)
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(fma.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64)) z (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) x))
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rewrite267.0ms (2.7%)

Memory
13.1MiB live, 257.0MiB allocated
Rules
5 764×lower-fma.f64
5 764×lower-fma.f32
4 434×lower-*.f32
4 430×lower-*.f64
3 236×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
01636
15736
245136
3744436
0811835
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 271
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(exp.f64 z)
Outputs
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64)))) (+.f64 (hypot.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (*.f64 (/.f64 x (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (neg.f64 y))))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (-.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))) (-.f64 (fma.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)))) (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))))
(*.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)))
(*.f64 (pow.f64 (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 (hypot.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 x (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)) y))) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (hypot.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 x (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)) y))))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))))
(*.f64 (+.f64 (hypot.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 x (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)) y))) (/.f64 (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))) (+.f64 (hypot.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 x (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)) y)))))
(*.f64 (+.f64 (hypot.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 x (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)) y))) (*.f64 (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))) (pow.f64 (+.f64 (hypot.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 x (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)) y))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (hypot.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 x (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)) y))) #s(literal -1 binary64)))
(*.f64 (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))) (/.f64 (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)))
(*.f64 (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))) (*.f64 (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (pow.f64 (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 4 binary64))) (pow.f64 (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal -1 binary64))) (hypot.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 6 binary64))) (pow.f64 (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)) (hypot.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 6 binary64))) (pow.f64 (+.f64 (hypot.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 x (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)) y))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (+.f64 (hypot.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 x (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)) y))) #s(literal -1 binary64))) (-.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64))) (pow.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (neg.f64 y)) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (hypot.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 x (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)) y))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x))) (*.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)) (/.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)))) (fma.f64 x (/.f64 x (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)) (/.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)) (fma.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)) (/.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)) (*.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)) (/.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (hypot.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 x (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)) y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (hypot.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)))
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(fma.f64 (pow.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 5641895835477563/5000000000000000 binary64)) (exp.f64 z) (hypot.f64 (*.f64 y x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) #s(literal 5641895835477563/5000000000000000 binary64)) (exp.f64 z) (hypot.f64 (*.f64 y x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))))))
(fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 (pow.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 y x) #s(literal 5641895835477563/5000000000000000 binary64)) (exp.f64 z) (hypot.f64 (*.f64 y x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) #s(literal 5641895835477563/5000000000000000 binary64)) (exp.f64 z) (hypot.f64 (*.f64 y x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))))))
(fma.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(fma.f64 (exp.f64 z) (/.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 z)) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 y) x))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 (neg.f64 y) x))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 x (neg.f64 y) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(-.f64 (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 0 binary64)) (*.f64 y x))
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) #s(literal 5641895835477563/5000000000000000 binary64)) (exp.f64 z) (hypot.f64 (*.f64 y x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) #s(literal 5641895835477563/5000000000000000 binary64)) (exp.f64 z) (hypot.f64 (*.f64 y x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 y x) #s(literal 1 binary64)))
(-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) #s(literal 5641895835477563/5000000000000000 binary64)) (exp.f64 z) (hypot.f64 (*.f64 y x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) #s(literal 5641895835477563/5000000000000000 binary64)) (exp.f64 z) (hypot.f64 (*.f64 y x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))
(-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))
(+.f64 (neg.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) #s(literal 5641895835477563/5000000000000000 binary64)) (exp.f64 z) (hypot.f64 (*.f64 y x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) #s(literal 5641895835477563/5000000000000000 binary64)) (exp.f64 z) (hypot.f64 (*.f64 y x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))))))
(+.f64 (*.f64 (neg.f64 y) x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (neg.f64 y) x))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(exp.f64 z)

eval55.0ms (0.6%)

Memory
-6.3MiB live, 114.1MiB allocated
Compiler

Compiled 12 149 to 1 208 computations (90.1% saved)

prune16.0ms (0.2%)

Memory
-2.1MiB live, 34.9MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New38911400
Fresh000
Picked101
Done000
Total39011401
Accuracy
100.0%
Counts
401 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶95.4%
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x)
▶80.9%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
82.9%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
80.9%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
▶79.0%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
75.5%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
▶61.7%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
▶64.2%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
68.1%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
17.2%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
58.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
Compiler

Compiled 254 to 216 computations (15% saved)

simplify66.0ms (0.7%)

Memory
-8.1MiB live, 30.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))))
cost-diff0
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))
cost-diff0
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))
cost-diff128
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
cost-diff0
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
cost-diff0
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
cost-diff0
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
cost-diff0
(*.f64 (neg.f64 y) x)
cost-diff0
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))
cost-diff0
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))
cost-diff0
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))
cost-diff0
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
cost-diff0
(exp.f64 z)
cost-diff0
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))
cost-diff0
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))
cost-diff192
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x)
Rules
1 024×lower-fma.f32
1 014×lower-fma.f64
614×lower-*.f32
606×lower-*.f64
312×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039287
066287
1104287
2132286
3186286
4263286
5386286
6554286
7798286
81016286
91397286
101633286
111856286
121946286
131953286
141959286
01959285
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x)
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))
#s(literal -1 binary64)
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))
#s(literal -5641895835477563/5000000000000000 binary64)
(exp.f64 z)
z
(*.f64 y x)
y
x
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
z
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
x
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))
y
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))))
#s(literal 5641895835477563/5000000000000000 binary64)
#s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))
#s(literal 1/2 binary64)
z
#s(literal 1 binary64)
(*.f64 x y)
Outputs
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x)
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))
(/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))
#s(literal -1 binary64)
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))
(fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))
#s(literal -5641895835477563/5000000000000000 binary64)
(exp.f64 z)
z
(*.f64 y x)
(*.f64 x y)
y
x
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x)
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))) x)
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
z
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
x
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))
(/.f64 (neg.f64 y) (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))
y
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))
(fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 y) x))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))))
(*.f64 #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
#s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))
#s(literal 1/2 binary64)
z
#s(literal 1 binary64)
(*.f64 x y)

localize95.0ms (1%)

Memory
20.3MiB live, 135.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))))
accuracy0.8046875000000001
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))
accuracy8.1879898698641
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))
accuracy25.784888117579523
#s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))
accuracy0.1328125
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
accuracy0.8046875000000001
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
accuracy8.1879898698641
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
accuracy33.41596431952463
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy0
(*.f64 (neg.f64 y) x)
accuracy0
(neg.f64 y)
accuracy8.1879898698641
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))
accuracy31.713057997313623
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
accuracy32.98441741563179
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))
accuracy0
(exp.f64 z)
accuracy0.7168169372282139
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))
accuracy1.0117104933208232
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))
accuracy1.966563760300929
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x)
Samples
63.0ms256×0valid
Compiler

Compiled 214 to 31 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 15.0ms (34.8% of total)
ival-add: 10.0ms (23.2% of total)
const: 7.0ms (16.2% of total)
ival-div: 5.0ms (11.6% of total)
ival-exp: 2.0ms (4.6% of total)
ival-sub: 1.0ms (2.3% of total)
ival-neg: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series95.0ms (1%)

Memory
-23.3MiB live, 95.5MiB allocated
Counts
22 → 612
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)) (patch (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)) #<representation:binary64>) () ())
#s(alt (exp.f64 z) (patch (exp.f64 z) #<representation:binary64>) () ())
#s(alt (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (patch (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) #<representation:binary64>) () ())
#s(alt #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) (patch #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation:binary64>) () ())
#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) #<representation:binary64>) () ())
#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))) #<representation:binary64>) () ())
#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)) #<representation:binary64>) () ())
#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation:binary64>) () ())
#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation:binary64>) () ())
#s(alt (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) (patch (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) #<representation:binary64>) () ())
#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) #<representation:binary64>) () ())
#s(alt #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (patch #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #<representation:binary64>) () ())
#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) #<representation:binary64>) () ())
#s(alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))) (patch (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))) #<representation:binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)) #<representation:binary64>) () ())
#s(alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (patch (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation:binary64>) () ())
#s(alt (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))) (patch #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #<representation:binary64>) () ())
Outputs
#s(alt (+ x (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))))))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000))))))))))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x) #<representation:binary64>) () ())) ())
#s(alt (/ -1 (- (* x y) 5641895835477563/5000000000000000)) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (- (* -5641895835477563/5000000000000000 (/ z (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (/ 1 (- (* x y) 5641895835477563/5000000000000000))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (- (* z (- (* -1 (* z (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))))) (* 5641895835477563/5000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (/ 1 (- (* x y) 5641895835477563/5000000000000000))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (- (* z (- (* z (- (* -1 (* z (+ (* 5641895835477563/30000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (+ (* 31830988618379068626528276418969/50000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))) (- (* x y) 5641895835477563/5000000000000000))))))) (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))))) (* 5641895835477563/5000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (/ 1 (- (* x y) 5641895835477563/5000000000000000))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) (patch (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) #<representation:binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))) (patch (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) (taylor -inf x) (#s(alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))) (patch (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))) (patch (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))) (patch (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)) #<representation:binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
22.0ms
z
@inf
((+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (exp z) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (neg y) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (exp z))
5.0ms
x
@inf
((+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (exp z) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (neg y) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (exp z))
3.0ms
z
@0
((+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (exp z) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (neg y) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (exp z))
2.0ms
z
@-inf
((+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (exp z) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (neg y) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (exp z))
2.0ms
x
@-inf
((+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (exp z) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (neg y) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (exp z))

simplify293.0ms (3%)

Memory
29.6MiB live, 291.4MiB allocated
Algorithm
1×egg-herbie
Rules
7 544×lower-fma.f64
7 544×lower-fma.f32
5 210×lower-*.f64
5 210×lower-*.f32
2 746×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05459602
116019399
247199214
085348637
Stop Event
1×iter limit
1×node limit
Counts
612 → 597
Calls
Call 1
Inputs
(+ x (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))))
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))))))))
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000)))))))))))))
(/ -1 (- (* x y) 5641895835477563/5000000000000000))
(- (* -5641895835477563/5000000000000000 (/ z (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (/ 1 (- (* x y) 5641895835477563/5000000000000000)))
(- (* z (- (* -1 (* z (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))))) (* 5641895835477563/5000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (/ 1 (- (* x y) 5641895835477563/5000000000000000)))
(- (* z (- (* z (- (* -1 (* z (+ (* 5641895835477563/30000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (+ (* 31830988618379068626528276418969/50000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))) (- (* x y) 5641895835477563/5000000000000000))))))) (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))))) (* 5641895835477563/5000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (/ 1 (- (* x y) 5641895835477563/5000000000000000)))
(- (* x y) 5641895835477563/5000000000000000)
(- (+ (* -5641895835477563/5000000000000000 z) (* x y)) 5641895835477563/5000000000000000)
(- (+ (* x y) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000)
(- (+ (* x y) (* z (- (* z (- (* -5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000)
1
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
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(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (* x y))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (* x y))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (* x y))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
Outputs
(+ x (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))))
(fma.f64 (*.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64)) z (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000)))))))))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal -5641895835477563/30000000000000000 binary64) (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)))))) z (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
(/ -1 (- (* x y) 5641895835477563/5000000000000000))
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(- (* -5641895835477563/5000000000000000 (/ z (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (/ 1 (- (* x y) 5641895835477563/5000000000000000)))
(fma.f64 (/.f64 z (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(- (* z (- (* -1 (* z (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))))) (* 5641895835477563/5000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (/ 1 (- (* x y) 5641895835477563/5000000000000000)))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -5641895835477563/10000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)))) z (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) z (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(- (* z (- (* z (- (* -1 (* z (+ (* 5641895835477563/30000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (+ (* 31830988618379068626528276418969/50000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))) (- (* x y) 5641895835477563/5000000000000000))))))) (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))))) (* 5641895835477563/5000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (/ 1 (- (* x y) 5641895835477563/5000000000000000)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 5641895835477563/30000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) z (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))))) z (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) z (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(- (+ (* -5641895835477563/5000000000000000 z) (* x y)) 5641895835477563/5000000000000000)
(fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(- (+ (* x y) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000)
(fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(- (+ (* x y) (* z (- (* z (- (* -5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000)
(fma.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/30000000000000000 binary64) z #s(literal -5641895835477563/10000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
1
#s(literal 1 binary64)
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(fma.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 z (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal -5641895835477563/10000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 3 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) z (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64)))) z (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))))) z (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
(/ y (- 5641895835477563/5000000000000000 (* x y)))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(fma.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 z (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
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(/ -1 x)
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(/ -1 x)
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x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
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(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
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(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
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(* -1 (* x y))
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(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x)
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x)
(* -1 (* x y))
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(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x x)
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
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(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
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(/ -1 x)
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(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(/.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 z) x) y) #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -1 binary64)) x)
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(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) x) (/.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y y))) x)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)
(* -1 (* x y))
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(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
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(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x)
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
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(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
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(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
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(/ -1 x)
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(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
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(* -1 (* x y))
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(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x)
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(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x)

rewrite268.0ms (2.8%)

Memory
24.7MiB live, 411.0MiB allocated
Rules
5 092×lower-fma.f32
5 082×lower-fma.f64
4 690×lower-/.f32
4 680×lower-/.f64
4 286×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039248
066248
1278248
22100248
08740248
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 428
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x)
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))
(exp.f64 z)
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))))
(neg.f64 y)
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
#s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))
Outputs
(*.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x) #s(literal -1 binary64)))
(*.f64 (hypot.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x) (/.f64 (*.f64 (neg.f64 x) y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x) (-.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (hypot.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x) (/.f64 (*.f64 (neg.f64 x) y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))) (hypot.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x) (/.f64 (*.f64 (neg.f64 x) y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)) (*.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x) (*.f64 x x))) (*.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 2 binary64))) (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 x) y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (hypot.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x) (/.f64 (*.f64 (neg.f64 x) y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x))
(/.f64 (hypot.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 x) y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))))
(/.f64 (hypot.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (hypot.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x) (/.f64 (*.f64 (neg.f64 x) y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x) (-.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x) (/.f64 (*.f64 (neg.f64 x) y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))) (hypot.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x) (-.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (hypot.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x) (/.f64 (*.f64 (neg.f64 x) y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))) (hypot.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 y (fma.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (hypot.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (*.f64 (*.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x) y)) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 y (-.f64 (pow.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y)) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 y (pow.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y)) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 y (pow.f64 (-.f64 (hypot.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (*.f64 (*.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x) y)) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 (neg.f64 y) (-.f64 (pow.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y)) x)
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (-.f64 (hypot.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (*.f64 (*.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x) y)) x)
(fma.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -1 binary64) x)
(fma.f64 (pow.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal -1 binary64)) (/.f64 y #s(literal -1 binary64)) x)
(fma.f64 (neg.f64 y) (pow.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) y x)
(fma.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal -1 binary64)) y) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))) (/.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 2 binary64)) (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)))
(+.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)
(+.f64 x (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (-.f64 (hypot.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (*.f64 (*.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x) y)))
(*.f64 (pow.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))))
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(-.f64 (/.f64 (*.f64 (pow.f64 #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (fma.f64 (pow.f64 #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 x y) (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 x y) (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))))
(-.f64 (*.f64 #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 (*.f64 #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (neg.f64 x) y))
(*.f64 #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.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 (+.f64 #s(literal 1 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 #s(literal 1 binary64) z))
(pow.f64 (/.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (*.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(literal 2 binary64))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(/.f64 (neg.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(literal 2 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))))))
(/.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(literal 2 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (/.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(literal 2 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64))))
(+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))
#s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))

eval424.0ms (4.4%)

Memory
-26.2MiB live, 306.9MiB allocated
Compiler

Compiled 22 568 to 1 956 computations (91.3% saved)

prune175.0ms (1.8%)

Memory
-1.7MiB live, 76.4MiB allocated
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New1 014111 025
Fresh336
Picked235
Done000
Total1 019171 036
Accuracy
100.0%
Counts
1 036 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶83.2%
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
79.0%
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
▶75.4%
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
61.2%
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 y x))) y x)
68.1%
(fma.f64 #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y x)
✓80.9%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
82.9%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
▶80.9%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
✓79.0%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
80.4%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))))) (*.f64 x y))))
60.7%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
▶48.4%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))))
79.1%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
✓64.2%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
▶75.5%
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
17.2%
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
58.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
Compiler

Compiled 401 to 331 computations (17.5% saved)

simplify190.0ms (2%)

Memory
5.4MiB live, 207.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))))
cost-diff64
(-.f64 #s(literal 0 binary64) (*.f64 y y))
cost-diff192
(+.f64 #s(literal 0 binary64) y)
cost-diff1024
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
cost-diff0
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
cost-diff0
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
cost-diff0
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
cost-diff0
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
cost-diff0
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
cost-diff192
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
cost-diff0
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
cost-diff0
(/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
cost-diff0
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
cost-diff0
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
cost-diff0
(fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
cost-diff0
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
cost-diff192
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
Rules
8 512×lower-fma.f32
8 498×lower-fma.f64
3 076×lower-*.f32
3 070×lower-*.f64
2 008×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046371
074353
1131352
2249332
3546329
4954329
52193329
65169329
77935329
08037322
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(literal -1 binary64)
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64))
#s(literal -5641895835477563/10000000000000000 binary64)
z
#s(literal -5641895835477563/5000000000000000 binary64)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
y
x
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
x
(/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
y
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
#s(literal -5641895835477563/5000000000000000 binary64)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
#s(literal -1 binary64)
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
y
x
#s(literal -5641895835477563/5000000000000000 binary64)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/10000000000000000 binary64)
z
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))))
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
#s(literal 0 binary64)
(*.f64 y y)
(+.f64 #s(literal 0 binary64) y)
Outputs
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
(-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(literal -1 binary64)
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
(fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64))
#s(literal -5641895835477563/10000000000000000 binary64)
z
#s(literal -5641895835477563/5000000000000000 binary64)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))
y
x
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
x
(/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
y
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))
#s(literal -5641895835477563/5000000000000000 binary64)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
(-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
#s(literal -1 binary64)
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))
y
x
#s(literal -5641895835477563/5000000000000000 binary64)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/10000000000000000 binary64)
z
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))))
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))) x)
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)
(*.f64 (neg.f64 x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(neg.f64 y)
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(*.f64 (neg.f64 y) y)
#s(literal 0 binary64)
(*.f64 y y)
(+.f64 #s(literal 0 binary64) y)
y

localize175.0ms (1.8%)

Memory
-32.8MiB live, 185.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y y)
accuracy8.1879898698641
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)))
accuracy29.853388341066523
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
accuracy31.713057997313623
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
accuracy0.13671875
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
accuracy0.8046875000000001
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
accuracy8.1879898698641
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
accuracy25.78582257471259
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy0.00390625
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
accuracy0.7168169372282139
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
accuracy1.966563760300929
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
accuracy25.39053851973431
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
accuracy0
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
accuracy0.00390625
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
accuracy9.010813498291126
(/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
accuracy15.667058575435826
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
accuracy0.7168169372282139
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
accuracy0.7968667428166806
(fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
accuracy1.966563760300929
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
accuracy21.851417331427005
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
Samples
108.0ms256×0valid
Compiler

Compiled 262 to 39 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 30.0ms (46.1% of total)
const: 14.0ms (21.5% of total)
ival-add: 9.0ms (13.8% of total)
ival-div: 7.0ms (10.7% of total)
ival-sub: 3.0ms (4.6% of total)
ival-exp: 2.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series98.0ms (1%)

Memory
20.7MiB live, 94.9MiB allocated
Counts
23 → 648
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) (patch #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) #<representation:binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) (patch (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) (patch #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) #<representation:binary64>) () ())
#s(alt (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) #<representation:binary64>) () ())
#s(alt (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) (patch (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) (patch (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #<representation:binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) (patch #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) #<representation:binary64>) () ())
#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation:binary64>) () ())
#s(alt (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) (patch (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) #<representation:binary64>) () ())
#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) #<representation:binary64>) () ())
#s(alt #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (patch #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) #<representation:binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) #<representation:binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) y) (patch (+.f64 #s(literal 0 binary64) y) #<representation:binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 y y)) (patch (-.f64 #s(literal 0 binary64) (*.f64 y y)) #<representation:binary64>) () ())
#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)))) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)) #<representation:binary64>) () ())
#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))) #<representation:binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())
Outputs
#s(alt (+ x (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))))))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000))))))))))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation:binary64>) () ())) ())
#s(alt (/ -1 (- (* x y) 5641895835477563/5000000000000000)) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (- (* -5641895835477563/5000000000000000 (/ z (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (/ 1 (- (* x y) 5641895835477563/5000000000000000))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (- (* z (- (* -1 (* z (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))))) (* 5641895835477563/5000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (/ 1 (- (* x y) 5641895835477563/5000000000000000))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (- (* z (- (* z (- (* -1 (* z (+ (* 5641895835477563/30000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (+ (* 31830988618379068626528276418969/50000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))) (- (* x y) 5641895835477563/5000000000000000))))))) (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))))) (* 5641895835477563/5000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (/ 1 (- (* x y) 5641895835477563/5000000000000000))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (- (* x y) 5641895835477563/5000000000000000) (taylor 0 z) (#s(alt #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) (patch #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (- (+ (* -5641895835477563/5000000000000000 z) (* x y)) 5641895835477563/5000000000000000) (taylor 0 z) (#s(alt #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) (patch #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)))) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) (taylor -inf x) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))) #<representation:binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
2.0ms
y
@inf
((+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/ y (+ (* y x) -5641895835477563/5000000000000000)) (+ (* y x) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (* y y))
2.0ms
y
@-inf
((+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/ y (+ (* y x) -5641895835477563/5000000000000000)) (+ (* y x) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (* y y))
2.0ms
z
@inf
((+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/ y (+ (* y x) -5641895835477563/5000000000000000)) (+ (* y x) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (* y y))
2.0ms
z
@-inf
((+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/ y (+ (* y x) -5641895835477563/5000000000000000)) (+ (* y x) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (* y y))
2.0ms
y
@0
((+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/ y (+ (* y x) -5641895835477563/5000000000000000)) (+ (* y x) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (* y y))

simplify380.0ms (3.9%)

Memory
0.4MiB live, 306.9MiB allocated
Algorithm
1×egg-herbie
Rules
7 854×lower-fma.f64
7 854×lower-fma.f32
5 014×lower-*.f64
5 014×lower-*.f32
3 030×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07519863
122269668
265069528
082788801
Stop Event
1×iter limit
1×node limit
Counts
648 → 618
Calls
Call 1
Inputs
(+ x (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))))
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))))))))
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(* x (- (+ y (/ (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) x)) (* 5641895835477563/5000000000000000 (/ 1 x))))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))))) (/ 1 (pow x 2))))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (+ 1 (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) (pow x 3)))) (/ 1 (pow x 2))))
(/ 1 x)
(/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x)
(/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 2))))) x)
(/ (+ 1 (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 3)))) (/ 5641895835477563/5000000000000000 (* x y))))) x)
(* x y)
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))))) (/ 1 (pow x 2))))
(/ -1 (* x y))
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y)) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y))) x)
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 4)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 3)))) (/ 1 y)))) x)
(* x y)
(* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))
(* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))
(* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(/ -1 x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
(* -1 (* x y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(* -1 (* x y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(/ -1 x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(/ -1 (* x y))
(* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y)) x))
(* -1 (/ (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 3)))) (* 5641895835477563/5000000000000000 (/ (exp z) (pow y 2)))) x)) (/ 1 y)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 4)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 3)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow y 2)))) x)) (/ 1 y)) x))
(* x y)
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x)))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2)))) 1)))
(/ 1 x)
(/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x)
(* -1 (/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* x (pow y 2))) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 2) (pow y 3))))) x)) 1) x))
(* x y)
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(/ -1 (* x y))
(* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y)) x))
(* -1 (/ (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 3)))) (* 5641895835477563/5000000000000000 (/ (exp z) (pow y 2)))) x)) (/ 1 y)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 4)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 3)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow y 2)))) x)) (/ 1 y)) x))
(* x y)
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (* x y))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(* -1 (* x y))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
Outputs
(+ x (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))))
(fma.f64 (*.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64)) z (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/10000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000)))))))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/10000000000000000 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/10000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/30000000000000000 binary64) (*.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)))))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
(/ -1 (- (* x y) 5641895835477563/5000000000000000))
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(- (* -5641895835477563/5000000000000000 (/ z (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (/ 1 (- (* x y) 5641895835477563/5000000000000000)))
(fma.f64 (/.f64 z (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(- (* z (- (* -1 (* z (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))))) (* 5641895835477563/5000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (/ 1 (- (* x y) 5641895835477563/5000000000000000)))
(fma.f64 (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) z (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(- (* z (- (* z (- (* -1 (* z (+ (* 5641895835477563/30000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (+ (* 31830988618379068626528276418969/50000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))) (- (* x y) 5641895835477563/5000000000000000))))))) (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))))) (* 5641895835477563/5000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (/ 1 (- (* x y) 5641895835477563/5000000000000000)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 5641895835477563/30000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) z (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))))) z (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) z (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(- (+ (* -5641895835477563/5000000000000000 z) (* x y)) 5641895835477563/5000000000000000)
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(fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(fma.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (neg.f64 x) x)
(* -1 (* x (- (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x) x)
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)
(* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1)))
(fma.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (neg.f64 x) x)
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2)))) 1)))
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (neg.f64 x) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* x (pow y 2))) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 2) (pow y 3))))) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 y y) x))) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x)) (neg.f64 x))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(fma.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (neg.f64 x) x)
(* -1 (* x (- (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x) x)
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y)) x))
(/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) (/.f64 (exp.f64 z) y) #s(literal -1 binary64)) x) y)
(* -1 (/ (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 3)))) (* 5641895835477563/5000000000000000 (/ (exp z) (pow y 2)))) x)) (/ 1 y)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (/.f64 (exp.f64 z) y) y) #s(literal -5641895835477563/5000000000000000 binary64))) x)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 4)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 3)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow y 2)))) x)) (/ 1 y)) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) x) (/.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 y #s(literal 3 binary64)))) x) (*.f64 (/.f64 (/.f64 (exp.f64 z) y) y) #s(literal 5641895835477563/5000000000000000 binary64))) x) (/.f64 #s(literal -1 binary64) y)) x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal -5641895835477563/5000000000000000 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal -5641895835477563/5000000000000000 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal -5641895835477563/5000000000000000 binary64) y) x)
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(fma.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (neg.f64 x) x)
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) (/.f64 (exp.f64 z) y) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) x)) (neg.f64 x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) x) (/.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y y))) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64))) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal -5641895835477563/5000000000000000 binary64) y) (neg.f64 x))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal -5641895835477563/5000000000000000 binary64) y) (neg.f64 x))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal -5641895835477563/5000000000000000 binary64) y) (neg.f64 x))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(fma.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (neg.f64 x) x)
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal -5641895835477563/5000000000000000 binary64) y) (neg.f64 x))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal -5641895835477563/5000000000000000 binary64) y) (neg.f64 x))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal -5641895835477563/5000000000000000 binary64) y) (neg.f64 x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) (/.f64 (exp.f64 z) y) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) x)) (neg.f64 x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) x) (/.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y y))) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64))) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)

rewrite271.0ms (2.8%)

Memory
7.2MiB live, 365.6MiB allocated
Rules
4 744×lower-*.f32
4 738×lower-*.f64
3 822×lower-/.f32
3 810×lower-/.f64
3 684×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046317
074302
1365285
23278285
08816278
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 582
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))))
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)))
(*.f64 y y)
Outputs
(*.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) x) #s(literal -1 binary64)))
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(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) y)))
(neg.f64 (/.f64 (neg.f64 y) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
(neg.f64 (/.f64 y (neg.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) y)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (pow.f64 (/.f64 (*.f64 y y) (*.f64 (neg.f64 y) y)) #s(literal 2 binary64)) (*.f64 y y))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 y y) (pow.f64 (/.f64 y y) #s(literal 2 binary64)))
(*.f64 y (-.f64 y #s(literal 0 binary64)))
(*.f64 y y)
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (neg.f64 y))
(/.f64 (*.f64 y (*.f64 (neg.f64 y) y)) (neg.f64 y))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 y y))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
(/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 y) y)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(/.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 (neg.f64 y) y))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (*.f64 (neg.f64 y) y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (*.f64 y y) (*.f64 (neg.f64 y) y)) #s(literal 2 binary64)) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (pow.f64 (/.f64 y y) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 y (-.f64 y #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) #s(literal 0 binary64))
(-.f64 (*.f64 y y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (*.f64 y y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 y y))

eval198.0ms (2%)

Memory
47.7MiB live, 420.2MiB allocated
Compiler

Compiled 28 987 to 3 782 computations (87% saved)

prune71.0ms (0.7%)

Memory
-20.7MiB live, 155.7MiB allocated
Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New1 273111 284
Fresh639
Picked325
Done123
Total1 283181 301
Accuracy
100.0%
Counts
1 301 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓75.4%
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
▶86.9%
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
▶48.8%
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))) y x)
73.9%
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (*.f64 (-.f64 #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) z)) z)) z) z)))) y x)
43.8%
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y x)
68.1%
(fma.f64 #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y x)
82.9%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
✓79.0%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
▶44.4%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))))
48.0%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) y) x))))
✓64.2%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
✓75.5%
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
▶61.7%
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
61.6%
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))))
17.2%
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
48.7%
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
61.6%
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
▶16.6%
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
Compiler

Compiled 380 to 332 computations (12.6% saved)

simplify272.0ms (2.8%)

Memory
-13.2MiB live, 171.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))))
cost-diff192
(+.f64 #s(literal 0 binary64) y)
cost-diff1024
(/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y))
cost-diff6848
(/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y))
cost-diff0
#s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))
cost-diff0
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))))
cost-diff192
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))) y x)
cost-diff0
#s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))
cost-diff0
(/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))
cost-diff0
(-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))
cost-diff0
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
cost-diff0
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
cost-diff0
#s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
cost-diff0
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
cost-diff0
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64)))))
cost-diff192
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
cost-diff704
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))
Rules
5 678×lower-fma.f32
5 668×lower-fma.f64
3 260×lower-*.f32
3 250×lower-*.f64
1 534×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056539
081541
1141523
2378461
31404461
43110461
54677461
67039461
08071421
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(literal -1 binary64)
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))
#s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y)
(/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x)
(fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64))
#s(literal -5641895835477563/10000000000000000 binary64)
z
#s(literal -5641895835477563/5000000000000000 binary64)
x
y
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
#s(literal 5000000000000000/5641895835477563 binary64)
y
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))
x
(/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))
y
#s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))
#s(literal -5641895835477563/5000000000000000 binary64)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))) y x)
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))))
#s(literal -1 binary64)
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))
#s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))
(*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)
(fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64))
#s(literal -5641895835477563/10000000000000000 binary64)
z
#s(literal -5641895835477563/5000000000000000 binary64)
y
x
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))))
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))
(*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)
(/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y))
(neg.f64 y)
(*.f64 (neg.f64 y) y)
(+.f64 #s(literal 0 binary64) y)
#s(literal 0 binary64)
Outputs
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
(-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 y x (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 y x (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64))))))
#s(literal -1 binary64)
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 y x (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64)))
#s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 y x (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))
(fma.f64 y x (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y)
(fma.f64 (/.f64 z x) (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) y)
(/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x)
(fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64))
#s(literal -5641895835477563/10000000000000000 binary64)
z
#s(literal -5641895835477563/5000000000000000 binary64)
x
y
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
#s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
#s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
#s(literal 5000000000000000/5641895835477563 binary64)
y
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))
x
(/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))
y
#s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))
#s(literal -5641895835477563/5000000000000000 binary64)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))) y x)
(-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))))
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))))
#s(literal -1 binary64)
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))
#s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))
(*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)
(fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64))
#s(literal -5641895835477563/10000000000000000 binary64)
z
#s(literal -5641895835477563/5000000000000000 binary64)
y
x
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))))
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))) x)
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)
(*.f64 (neg.f64 y) x)
(/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y))
(neg.f64 y)
(/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y))
(*.f64 y (neg.f64 y))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y))
(pow.f64 y #s(literal 3 binary64))
(neg.f64 y)
(*.f64 (neg.f64 y) y)
(*.f64 y (neg.f64 y))
(+.f64 #s(literal 0 binary64) y)
y
#s(literal 0 binary64)

localize353.0ms (3.6%)

Memory
12.6MiB live, 289.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy8.1879898698641
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)))
accuracy8.462941057412818
(/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y))
accuracy29.853388341066523
(/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y))
accuracy31.713057997313623
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))
accuracy0.7168169372282139
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))))
accuracy1.966563760300929
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))) y x)
accuracy21.851417331427005
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))
accuracy34.26585059343832
#s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))
accuracy0
(-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))
accuracy9.010813498291126
(/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))
accuracy15.667058575435826
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
accuracy27.872255218684064
#s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))
accuracy0.359375
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
accuracy15.667058575435826
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
accuracy43.638637653035175
#s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
accuracy0.7168169372282139
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64)))))
accuracy1.966563760300929
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
accuracy5.213846389996414
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))
accuracy21.851417331427005
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))
Samples
250.0ms256×0valid
Compiler

Compiled 309 to 43 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 173.0ms
const: 131.0ms (75.6% of total)
ival-mult: 18.0ms (10.4% of total)
ival-div: 9.0ms (5.2% of total)
ival-add: 9.0ms (5.2% of total)
ival-exp: 2.0ms (1.2% of total)
ival-sub: 2.0ms (1.2% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series105.0ms (1.1%)

Memory
-30.0MiB live, 77.8MiB allocated
Counts
21 → 612
Calls
Call 1
Inputs
#s(alt (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64)) (patch (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64)) #<representation:binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64)))) (patch #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64)))) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) (patch #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) #<representation:binary64>) () ())
#s(alt #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) (patch #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) #<representation:binary64>) () ())
#s(alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (patch (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) (patch #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) #<representation:binary64>) () ())
#s(alt (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) (patch (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) #<representation:binary64>) () ())
#s(alt (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) (patch (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)) (patch #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)) #<representation:binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))) y x) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))) (patch #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)) (patch #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)) #<representation:binary64>) () ())
#s(alt (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (patch (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) #<representation:binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) (patch (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) #<representation:binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) y) (patch (+.f64 #s(literal 0 binary64) y) #<representation:binary64>) () ())
#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)))) #<representation:binary64>) () ())
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#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))) #<representation:binary64>) () ())
Outputs
#s(alt (- (* x y) 5641895835477563/5000000000000000) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64)) (patch (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64)) #<representation:binary64>) () ())) ())
#s(alt (- (+ (* -5641895835477563/5000000000000000 z) (* x y)) 5641895835477563/5000000000000000) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64)) (patch (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64)) #<representation:binary64>) () ())) ())
#s(alt (- (+ (* x y) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64)) (patch (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64)) #<representation:binary64>) () ())) ())
#s(alt (- (+ (* x y) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64)) (patch (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))))))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000))))))))))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation:binary64>) () ())) ())
#s(alt (/ -1 (- (* x y) 5641895835477563/5000000000000000)) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (- (* -5641895835477563/5000000000000000 (/ z (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (/ 1 (- (* x y) 5641895835477563/5000000000000000))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))) (patch #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)) (patch #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)) (patch #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)) (patch #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)) (patch #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)) #<representation:binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) (taylor -inf x) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) (taylor -inf x) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) (taylor -inf x) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))) #<representation:binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
12.0ms
x
@-inf
((+ (* (+ (* (/ (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) x) z) y) x) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (* 5000000000000000/5641895835477563 y) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/ y (+ (* y x) -5641895835477563/5000000000000000)) (+ (* y x) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (/ (* (neg y) (* (neg y) y)) (neg y)) (/ (/ (* (neg y) (* (neg y) y)) (neg y)) (+ 0 y)) (+ 0 y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
2.0ms
y
@-inf
((+ (* (+ (* (/ (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) x) z) y) x) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (* 5000000000000000/5641895835477563 y) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/ y (+ (* y x) -5641895835477563/5000000000000000)) (+ (* y x) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (/ (* (neg y) (* (neg y) y)) (neg y)) (/ (/ (* (neg y) (* (neg y) y)) (neg y)) (+ 0 y)) (+ 0 y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
2.0ms
y
@inf
((+ (* (+ (* (/ (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) x) z) y) x) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (* 5000000000000000/5641895835477563 y) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/ y (+ (* y x) -5641895835477563/5000000000000000)) (+ (* y x) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (/ (* (neg y) (* (neg y) y)) (neg y)) (/ (/ (* (neg y) (* (neg y) y)) (neg y)) (+ 0 y)) (+ 0 y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
2.0ms
z
@inf
((+ (* (+ (* (/ (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) x) z) y) x) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (* 5000000000000000/5641895835477563 y) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/ y (+ (* y x) -5641895835477563/5000000000000000)) (+ (* y x) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (/ (* (neg y) (* (neg y) y)) (neg y)) (/ (/ (* (neg y) (* (neg y) y)) (neg y)) (+ 0 y)) (+ 0 y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
2.0ms
z
@-inf
((+ (* (+ (* (/ (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) x) z) y) x) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (* 5000000000000000/5641895835477563 y) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/ y (+ (* y x) -5641895835477563/5000000000000000)) (+ (* y x) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (/ (* (neg y) (* (neg y) y)) (neg y)) (/ (/ (* (neg y) (* (neg y) y)) (neg y)) (+ 0 y)) (+ 0 y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))

simplify284.0ms (2.9%)

Memory
9.2MiB live, 243.6MiB allocated
Algorithm
1×egg-herbie
Rules
7 666×lower-fma.f64
7 666×lower-fma.f32
5 028×lower-*.f64
5 028×lower-*.f32
3 036×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07509433
122199242
264969129
082548371
Stop Event
1×iter limit
1×node limit
Counts
612 → 579
Calls
Call 1
Inputs
(- (* x y) 5641895835477563/5000000000000000)
(- (+ (* -5641895835477563/5000000000000000 z) (* x y)) 5641895835477563/5000000000000000)
(- (+ (* x y) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000)
(- (+ (* x y) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000)
(+ x (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))
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(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))))) (/ 1 (pow x 2))))
(/ -1 (* x y))
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y)) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y))) x)
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 4)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 3)))) (/ 1 y)))) x)
(* x y)
(* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))
(* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))
(* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))
(* x y)
(* x (- (+ y (/ (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) x)) (* 5641895835477563/5000000000000000 (/ 1 x))))
(* x (- (+ y (/ (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) x)) (* 5641895835477563/5000000000000000 (/ 1 x))))
(* x (- (+ y (/ (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) x)) (* 5641895835477563/5000000000000000 (/ 1 x))))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(* -1 (* x y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(/ -1 x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x)))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(/ -1 (* x y))
(* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y)) x))
(* -1 (/ (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 3)))) (* 5641895835477563/5000000000000000 (/ (exp z) (pow y 2)))) x)) (/ 1 y)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 4)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 3)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow y 2)))) x)) (/ 1 y)) x))
(* x y)
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2)))) 1)))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2)))) 1)))
(/ 1 x)
(/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x)
(* -1 (/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* x (pow y 2))) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 2) (pow y 3))))) x)) 1) x))
(* x y)
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(/ -1 (* x y))
(* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y)) x))
(* -1 (/ (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 3)))) (* 5641895835477563/5000000000000000 (/ (exp z) (pow y 2)))) x)) (/ 1 y)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 4)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 3)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow y 2)))) x)) (/ 1 y)) x))
(* x y)
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x)))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(* -1 (* x y))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
Outputs
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(- (+ (* -5641895835477563/5000000000000000 z) (* x y)) 5641895835477563/5000000000000000)
(fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(- (+ (* x y) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000)
(fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(- (+ (* x y) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000)
(fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(+ x (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))))
(fma.f64 (*.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64)) z (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/10000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000)))))))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/10000000000000000 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/10000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/30000000000000000 binary64) (*.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)))))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
(/ -1 (- (* x y) 5641895835477563/5000000000000000))
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(- (* -5641895835477563/5000000000000000 (/ z (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (/ 1 (- (* x y) 5641895835477563/5000000000000000)))
(fma.f64 (/.f64 z (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(- (* z (- (* -1 (* z (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))))) (* 5641895835477563/5000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (/ 1 (- (* x y) 5641895835477563/5000000000000000)))
(fma.f64 (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) z (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(- (* z (- (* z (- (* -1 (* z (+ (* 5641895835477563/30000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (+ (* 31830988618379068626528276418969/50000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))) (- (* x y) 5641895835477563/5000000000000000))))))) (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))))) (* 5641895835477563/5000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (/ 1 (- (* x y) 5641895835477563/5000000000000000)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 5641895835477563/30000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) z (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))))) z (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) z (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(- (+ (* -5641895835477563/5000000000000000 z) (* x y)) 5641895835477563/5000000000000000)
(fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(- (+ (* x y) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000)
(fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(- (+ (* x y) (* z (- (* z (- (* -5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000)
(fma.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/30000000000000000 binary64) z #s(literal -5641895835477563/10000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(+ x (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
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(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(fma.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (neg.f64 x) x)
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal -5641895835477563/5000000000000000 binary64) y) (neg.f64 x))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal -5641895835477563/5000000000000000 binary64) y) (neg.f64 x))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal -5641895835477563/5000000000000000 binary64) y) (neg.f64 x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) x)) (neg.f64 x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) x) (/.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y y))) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64))) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)

rewrite259.0ms (2.7%)

Memory
5.7MiB live, 317.1MiB allocated
Rules
5 948×lower-*.f32
5 938×lower-*.f64
5 414×lower-fma.f32
5 404×lower-fma.f64
4 074×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056436
081424
1358378
23300378
09758350
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 349
Calls
Call 1
Inputs
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))
#s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))) y x)
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))))
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))
#s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))
(/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y))
(+.f64 #s(literal 0 binary64) y)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal 2 binary64))) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal -5641895835477563/5000000000000000 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal 5641895835477563/5000000000000000 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal -5641895835477563/5000000000000000 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))
(fma.f64 x (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) #s(literal -5641895835477563/5000000000000000 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal 5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal 5641895835477563/5000000000000000 binary64))))
(+.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x) #s(literal -5641895835477563/5000000000000000 binary64))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) y) #s(literal -2 binary64)) (*.f64 x x)) (-.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) y) #s(literal -2 binary64)))) (neg.f64 (-.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) y) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (hypot.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))) (/.f64 (*.f64 y x) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) y) #s(literal -2 binary64))) (-.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))))
(/.f64 (hypot.f64 (pow.f64 (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) y) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (pow.f64 (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) y) #s(literal -2 binary64)) (-.f64 (*.f64 x x) (/.f64 (*.f64 y x) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))))
(/.f64 (hypot.f64 (pow.f64 (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) y) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (hypot.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))) (/.f64 (*.f64 y x) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) y) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))) (/.f64 (*.f64 y x) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))) (hypot.f64 (pow.f64 (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) y) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))
(fma.f64 (pow.f64 (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (pow.f64 (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)) x)
(fma.f64 (pow.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) #s(literal -1 binary64)) y x)
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))) x)
(fma.f64 (neg.f64 y) (pow.f64 (neg.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))) x)
(fma.f64 y (pow.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) #s(literal -1 binary64)) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))) (/.f64 (pow.f64 (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) y) #s(literal -2 binary64)) (-.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))))
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))) x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (pow.f64 (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) #s(literal -1 binary64)) y)
(*.f64 #s(literal 1 binary64) (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
(*.f64 (neg.f64 y) (pow.f64 (neg.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))))
(*.f64 y (pow.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) y) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) #s(literal -1 binary64))) (neg.f64 y))
(/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) #s(literal -1 binary64))) (*.f64 y y))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) (*.f64 y y)))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 y y) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) y))
(/.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
(/.f64 (neg.f64 y) (neg.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) y)))
(/.f64 y (neg.f64 (neg.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))
(neg.f64 (/.f64 (neg.f64 y) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
(neg.f64 (/.f64 y (neg.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))) (/.f64 y (neg.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) y)) #s(literal -1 binary64)))

eval174.0ms (1.8%)

Memory
-0.8MiB live, 250.4MiB allocated
Compiler

Compiled 17 919 to 2 318 computations (87.1% saved)

prune37.0ms (0.4%)

Memory
-0.3MiB live, 115.9MiB allocated
Pruning

20 alts after pruning (13 fresh and 7 done)

PrunedKeptTotal
New9244928
Fresh099
Picked235
Done044
Total92620946
Accuracy
100.0%
Counts
946 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓75.4%
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
✓48.8%
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))) y x)
73.9%
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (*.f64 (-.f64 #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) z)) z)) z) z)))) y x)
43.8%
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y x)
68.1%
(fma.f64 #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y x)
86.9%
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) x)
48.8%
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z)))) x)
82.9%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
✓79.0%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
44.4%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) y) x))))
48.0%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) y) x))))
✓64.2%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
✓75.5%
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
✓61.7%
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
61.6%
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))))
17.2%
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
48.7%
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
61.6%
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
13.5%
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal 5000000000000000/5641895835477563 binary64)) (neg.f64 y))))
✓16.6%
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
Compiler

Compiled 707 to 411 computations (41.9% saved)

regimes116.0ms (1.2%)

Memory
16.1MiB live, 137.0MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 y x))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal 5000000000000000/5641895835477563 binary64)) (neg.f64 y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) y) x))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))))
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) y) x))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (*.f64 (-.f64 #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) z)) z)) z) z)))) y x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
(fma.f64 #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y x)
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x)
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
Calls

6 calls:

42.0ms
z
23.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
16.0ms
x
12.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
11.0ms
y
Results
AccuracySegmentsBranch
95.8%1x
95.8%1y
99.9%3z
99.3%2(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
99.9%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.9%3(exp.f64 z)
Compiler

Compiled 21 to 29 computations (-38.1% saved)

regimes162.0ms (1.7%)

Memory
-29.9MiB live, 91.0MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 y x))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal 5000000000000000/5641895835477563 binary64)) (neg.f64 y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) y) x))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))))
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) y) x))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (*.f64 (-.f64 #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) z)) z)) z) z)))) y x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
(fma.f64 #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y x)
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
Calls

4 calls:

49.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
26.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
11.0ms
z
9.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
99.9%3z
99.9%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.9%3(exp.f64 z)
92.7%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 19 to 23 computations (-21.1% saved)

regimes96.0ms (1%)

Memory
26.8MiB live, 65.2MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 y x))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal 5000000000000000/5641895835477563 binary64)) (neg.f64 y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) y) x))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))))
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) y) x))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (*.f64 (-.f64 #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) z)) z)) z) z)))) y x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) x)
Calls

3 calls:

76.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
10.0ms
z
8.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
98.0%2z
98.0%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
98.0%2(exp.f64 z)
Compiler

Compiled 7 to 13 computations (-85.7% saved)

regimes115.0ms (1.2%)

Memory
4.2MiB live, 88.3MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 y x))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal 5000000000000000/5641895835477563 binary64)) (neg.f64 y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) y) x))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Calls

5 calls:

75.0ms
(exp.f64 z)
16.0ms
z
8.0ms
y
8.0ms
x
7.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
87.6%3x
83.2%1y
95.7%2z
95.7%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
95.7%2(exp.f64 z)
Compiler

Compiled 9 to 19 computations (-111.1% saved)

regimes155.0ms (1.6%)

Memory
-27.9MiB live, 51.1MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 y x))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal 5000000000000000/5641895835477563 binary64)) (neg.f64 y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) y) x))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
Calls

3 calls:

76.0ms
z
72.0ms
(exp.f64 z)
6.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
94.2%2z
94.2%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
94.2%2(exp.f64 z)
Compiler

Compiled 7 to 13 computations (-85.7% saved)

regimes94.0ms (1%)

Memory
14.1MiB live, 53.7MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 y x))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal 5000000000000000/5641895835477563 binary64)) (neg.f64 y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Calls

3 calls:

82.0ms
z
5.0ms
(exp.f64 z)
5.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
93.1%2z
93.1%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
93.1%2(exp.f64 z)
Compiler

Compiled 7 to 13 computations (-85.7% saved)

regimes30.0ms (0.3%)

Memory
-9.8MiB live, 34.4MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 y x))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal 5000000000000000/5641895835477563 binary64)) (neg.f64 y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z)))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x)
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y x)
Calls

3 calls:

20.0ms
z
5.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
5.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
94.3%3z
93.9%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
93.9%3(exp.f64 z)
Compiler

Compiled 7 to 13 computations (-85.7% saved)

regimes6.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 y x))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal 5000000000000000/5641895835477563 binary64)) (neg.f64 y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y x)
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y x)
Calls

1 calls:

5.0ms
z
Results
AccuracySegmentsBranch
94.1%3z
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes44.0ms (0.5%)

Memory
-26.8MiB live, 12.8MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 y x))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal 5000000000000000/5641895835477563 binary64)) (neg.f64 y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z)))) x)
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z)))) x)
Calls

1 calls:

43.0ms
z
Results
AccuracySegmentsBranch
94.1%3z
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes19.0ms (0.2%)

Memory
24.2MiB live, 24.2MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 y x))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal 5000000000000000/5641895835477563 binary64)) (neg.f64 y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
Calls

4 calls:

5.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
5.0ms
z
4.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
4.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
80.5%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
89.7%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
89.7%3(exp.f64 z)
89.7%3z
Compiler

Compiled 19 to 23 computations (-21.1% saved)

regimes37.0ms (0.4%)

Memory
-18.1MiB live, 20.9MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 y x))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal 5000000000000000/5641895835477563 binary64)) (neg.f64 y))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
Calls

3 calls:

27.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
5.0ms
z
4.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
86.1%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
86.1%2(exp.f64 z)
86.1%2z
Compiler

Compiled 7 to 13 computations (-85.7% saved)

regimes16.0ms (0.2%)

Memory
28.6MiB live, 28.6MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
Calls

6 calls:

3.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
3.0ms
x
3.0ms
y
3.0ms
z
2.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
78.9%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
72.7%3y
75.0%3x
76.5%2z
76.4%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
76.4%2(exp.f64 z)
Compiler

Compiled 21 to 29 computations (-38.1% saved)

regimes9.0ms (0.1%)

Memory
-31.2MiB live, 6.7MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
Calls

1 calls:

9.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Results
AccuracySegmentsBranch
78.9%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes13.0ms (0.1%)

Memory
25.8MiB live, 25.8MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
Outputs
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
Calls

6 calls:

2.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
2.0ms
z
2.0ms
x
2.0ms
y
2.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
61.7%1y
61.7%1x
61.7%1(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
61.7%1(exp.f64 z)
61.7%1z
61.7%1(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 21 to 29 computations (-38.1% saved)

regimes30.0ms (0.3%)

Memory
-21.1MiB live, 20.6MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))))
Outputs
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))))
Calls

6 calls:

20.0ms
(exp.f64 z)
2.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
2.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
61.6%1z
61.6%1(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
61.6%1(exp.f64 z)
61.6%1y
61.6%1x
61.6%1(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 21 to 29 computations (-38.1% saved)

regimes10.0ms (0.1%)

Memory
23.1MiB live, 23.1MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
Outputs
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
Calls

6 calls:

2.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
2.0ms
z
2.0ms
x
2.0ms
y
1.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
61.6%1z
61.6%1(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
61.6%1(exp.f64 z)
61.6%1y
61.6%1(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
61.6%1x
Compiler

Compiled 21 to 29 computations (-38.1% saved)

regimes9.0ms (0.1%)

Memory
-21.6MiB live, 18.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
Outputs
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
Calls

6 calls:

2.0ms
y
1.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
1.0ms
x
1.0ms
z
1.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
16.6%1z
16.6%1(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
16.6%1(exp.f64 z)
16.6%1y
16.6%1(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
16.6%1x
Compiler

Compiled 21 to 29 computations (-38.1% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.8758238853860813e+175
2.865392863632541e+181
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0
1.0000000000000078
0.0ms
0.0
0.9999999999999954
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999999999999954
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999999999999954
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999999999999954
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999999999999954
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch52.0ms (0.5%)

Memory
10.8MiB live, 49.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
30.0ms
156508455.02980804
172076110690.62766
19.0ms
-453815078736217200.0
-1557.5010708291363
Samples
37.0ms288×0valid
Compiler

Compiled 405 to 390 computations (3.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-add: 17.0ms (55.9% of total)
const: 4.0ms (13.1% of total)
ival-exp: 3.0ms (9.9% of total)
ival-mult: 3.0ms (9.9% of total)
ival-div: 2.0ms (6.6% of total)
ival-sub: 1.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
6.0ms
156508455.02980804
172076110690.62766
1.0ms
-453815078736217200.0
-1557.5010708291363
Samples
3.0ms48×0valid
Compiler

Compiled 333 to 354 computations (-6.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (42.8% of total)
const: 1.0ms (42.8% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
156508455.02980804
172076110690.62766
1.0ms
-453815078736217200.0
-1557.5010708291363
Compiler

Compiled 341 to 362 computations (-6.2% saved)

bsearch23.0ms (0.2%)

Memory
-11.8MiB live, 27.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
3.655945946355372e-11
4.3895738858519504e-10
11.0ms
-453815078736217200.0
-1557.5010708291363
Samples
7.0ms96×0valid
Compiler

Compiled 297 to 312 computations (-5.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 1.0ms (19.8% of total)
ival-exp: 1.0ms (19.8% of total)
ival-mult: 1.0ms (19.8% of total)
const: 1.0ms (19.8% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Memory
-0.7MiB live, 39.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
26.0ms
0.0
0.9999999999999954
Samples
15.0ms224×0valid
Compiler

Compiled 225 to 254 computations (-12.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 3.0ms (31% of total)
const: 3.0ms (31% of total)
ival-div: 2.0ms (20.7% of total)
ival-sub: 1.0ms (10.3% of total)
ival-add: 1.0ms (10.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.6376863852674903
816.5331261649799
0.0ms
-1002345.1842499799
-15051.420938336942
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.6376863852674903
816.5331261649799
0.0ms
-1002345.1842499799
-15051.420938336942
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify42.0ms (0.4%)

Memory
8.0MiB live, 83.5MiB allocated
Algorithm
1×egg-herbie
Rules
56×+-commutative-binary64-+.f64
40×sub-neg-binary64-neg.f64-+.f64--.f64
38×*-commutative-binary64-*.f64
24×neg-sub0-binary64--.f64-neg.f64
24×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0157946
1199944
2243944
3266944
4281944
5285944
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 19999999999999998743069049246737528200546615119793746550412501356903849205370206764075153567638181693469097644589800066324224103680915737659228242480356123926769783926845079552 binary64)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (exp.f64 z) #s(literal 1 binary64)) #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))
(if (<=.f64 z #s(literal -1600 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 68000000000 binary64)) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y x)))
(if (<=.f64 z #s(literal -1600 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 57000000000 binary64)) #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y x)))
(if (<=.f64 z #s(literal -1600 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 57000000000 binary64)) #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) (+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z)))) x)))
(if (<=.f64 z #s(literal -1600 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 8317409638948649/19342813113834066795298816 binary64)) #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))))
(if (<=.f64 (exp.f64 z) #s(literal 6463189187793589/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -1000000 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 5 binary64)) #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) y x))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -1000000 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 5 binary64)) #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
Outputs
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 19999999999999998743069049246737528200546615119793746550412501356903849205370206764075153567638181693469097644589800066324224103680915737659228242480356123926769783926845079552 binary64)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (+.f64 (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))) x) #s(literal 19999999999999998743069049246737528200546615119793746550412501356903849205370206764075153567638181693469097644589800066324224103680915737659228242480356123926769783926845079552 binary64)) (+.f64 (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))) x) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (exp.f64 z) #s(literal 1 binary64)) #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 (exp.f64 z) #s(literal 1 binary64)) #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64))))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64)))))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (+.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 y x))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) y x))
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#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))

soundness1.2s (12.4%)

Memory
-18.8MiB live, 1 253.1MiB allocated
Rules
8 782×lower-fma.f64
8 782×lower-fma.f32
7 854×lower-fma.f64
7 854×lower-fma.f32
7 544×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
01636
15736
245136
3744436
0811835
056436
081424
1358378
23300378
09758350
03161995
19041975
226471891
083231801
07519863
122269668
265069528
082788801
05459602
116019399
247199214
085348637
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 999 to 620 computations (37.9% saved)

preprocess265.0ms (2.7%)

Memory
7.5MiB live, 284.6MiB allocated
Compiler

Compiled 990 to 310 computations (68.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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