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

Time bar (total: 11.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze102.0ms (0.9%)

Memory
8.7MiB live, 168.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
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)

sample1.1s (9.4%)

Memory
54.4MiB live, 1 535.4MiB allocated
Samples
807.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 534.0ms
ival-mult: 142.0ms (26.6% of total)
const: 136.0ms (25.5% of total)
ival-add: 80.0ms (15% of total)
ival-exp: 74.0ms (13.9% of total)
ival-div: 57.0ms (10.7% of total)
ival-sub: 35.0ms (6.6% of total)
ival-true: 6.0ms (1.1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain514.0ms (4.4%)

Memory
-38.7MiB live, 287.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
260-0-(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
30-0-(-.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/u50
(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))underflow5
(*.f64 x y)underflow23
-.f64(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))nan-rescue30
(exp.f64 z)overflow65
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))overflow65
(*.f64 x y)overflow29
Confusion
Predicted +Predicted -
+80
-0248
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+800
-00248
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0248
18
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
52.0ms512×0valid
Compiler

Compiled 105 to 34 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
const: 8.0ms (27.7% of total)
ival-mult: 7.0ms (24.2% of total)
ival-div: 5.0ms (17.3% of total)
ival-exp: 4.0ms (13.8% of total)
ival-sub: 2.0ms (6.9% of total)
ival-add: 2.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess264.0ms (2.2%)

Memory
46.8MiB live, 115.6MiB allocated
Algorithm
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
iter limit
saturated
iter limit
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 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.8%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify31.0ms (0.3%)

Memory
-11.4MiB live, 58.2MiB allocated
Algorithm
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
iter limit
saturated
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 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
x
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(neg.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.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)

localize49.0ms (0.4%)

Memory
2.9MiB live, 88.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
accuracy0.0078125
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
accuracy0.5976562500000001
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
accuracy6.2616161233023675
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
Samples
35.0ms256×0valid
Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
const: 17.0ms (64.5% of total)
ival-mult: 3.0ms (11.4% of total)
ival-div: 2.0ms (7.6% of total)
ival-exp: 2.0ms (7.6% of total)
ival-sub: 1.0ms (3.8% of total)
ival-add: 1.0ms (3.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory
-1.2MiB live, 37.4MiB allocated
Counts
4 → 120
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>) () ())
Outputs
#s(alt (* 5000000000000000/5641895835477563 (/ y (exp z))) (taylor 0 x) (#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 (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) (taylor 0 x) (#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 (+ (* 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)))))) (taylor 0 x) (#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 (+ (* 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)))))) (taylor 0 x) (#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 (taylor inf x) (#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 (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#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 (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) (taylor inf x) (#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 (- (+ 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))))) (taylor inf x) (#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 (taylor -inf x) (#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 (* -1 (* x (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#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 (* -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) (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 (* -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) (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 (taylor 0 y) (#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 (* 5000000000000000/5641895835477563 (/ y (exp z)))) (taylor 0 y) (#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 (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) (taylor 0 y) (#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 (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) (taylor 0 y) (#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 (/ 1 x)) (taylor inf y) (#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 (/ (exp z) (* (pow x 2) y)))) (/ 1 x)) (taylor inf y) (#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 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))) (taylor inf y) (#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 (* -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)))) (taylor inf y) (#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 (/ 1 x)) (taylor -inf y) (#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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Calls

30 calls:

TimeVariablePointExpression
3.0ms
z
@inf
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
1.0ms
y
@inf
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
1.0ms
z
@0
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
1.0ms
z
@-inf
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
1.0ms
x
@0
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))

simplify329.0ms (2.8%)

Memory
-10.5MiB live, 405.3MiB allocated
Algorithm
egg-herbie
Rules
8 530×lower-fma.f64
8 530×lower-fma.f32
5 230×lower-*.f64
5 230×lower-*.f32
2 854×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03031957
18651937
225631849
082061764
Stop Event
iter limit
node limit
Counts
120 → 117
Calls
Call 1
Inputs
(* 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))))))
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
(* -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
(+ 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))))))
(- 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))))
(- 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))
(+ 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)))))
(+ 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))))
(+ 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))))
(* 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)))))
(/ -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)
(- (* -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))
(/ 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))))
(/ 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)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(* 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))))))
(/ -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)
(* -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))
(- 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 (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)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(* 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)))
(* -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 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))))
(* 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)))
(* -1 (* x y))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) 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))))
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))))))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z z)))) x)
(+ (* 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))))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (exp.f64 (neg.f64 z))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z))))) (/.f64 (*.f64 (*.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z)))) x))
(+ (* 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))))))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z)))))) #s(literal 1 binary64)) (*.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z z))))))
x
(* x (- 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(fma.f64 x (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x)
(* 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)))))
(fma.f64 x (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(fma.f64 x (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x 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 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y x))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y)) (*.f64 x (*.f64 x x)))) (neg.f64 x) x)
x
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x)
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z z)))) x)
(+ 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))))))
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (*.f64 y (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 x x)) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z)))))) x)
(- x (/ 1 x))
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(/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))
(*.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z 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))))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (exp.f64 (neg.f64 z))) (*.f64 x (fma.f64 x (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z))))) (/.f64 (*.f64 (*.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z))))))
(+ (* 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))))))
(fma.f64 x (*.f64 x (fma.f64 x (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z))))))) (*.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z z))))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64)) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
(/.f64 (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64))) 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)
(/.f64 (fma.f64 (exp.f64 (+.f64 z (+.f64 z z))) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64)))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y 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 (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64))) 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 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) (fma.f64 (exp.f64 (+.f64 z (+.f64 z z))) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 y (*.f64 y (*.f64 y x))))) (/.f64 (*.f64 (exp.f64 (+.f64 z z)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y x))))) x)) x)
(- 5641895835477563/5000000000000000 (* x y))
(fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))
(-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(*.f64 x (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x) (neg.f64 y)))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(*.f64 x (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x) (neg.f64 y)))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(*.f64 x (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x) (neg.f64 y)))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(neg.f64 (*.f64 x (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(neg.f64 (*.f64 x (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(neg.f64 (*.f64 x (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(*.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 x)))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(*.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 x)))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(*.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 x)))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(*.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 x)))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(*.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 x)))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(*.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 x)))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))

rewrite318.0ms (2.7%)

Memory
3.8MiB live, 436.4MiB 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
01034
01634
15734
245134
3744434
0811833
Stop Event
iter limit
node limit
iter limit
Counts
4 → 270
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))
Outputs
(+.f64 x (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64))))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)))
(fma.f64 x #s(literal 1 binary64) (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(fma.f64 x (/.f64 x (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64))))))
(fma.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 1 binary64) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64))))))
(fma.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) (/.f64 y (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y)))))))) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y)))))) x)
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(*.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))))
(*.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 x y)) (-.f64 (neg.f64 (*.f64 x y)) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))))))
(*.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))))
(*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) (*.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))
(*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))
(*.f64 (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))))
(*.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y)))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))))
(*.f64 (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y)))))) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(*.f64 (/.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) (+.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) (-.f64 (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)))) (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) (-.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))))
(*.f64 (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))

eval51.0ms (0.4%)

Memory
-3.0MiB live, 113.7MiB allocated
Compiler

Compiled 13 565 to 1 116 computations (91.8% saved)

prune95.0ms (0.8%)

Memory
-13.3MiB live, 151.7MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New37710387
Fresh000
Picked101
Done000
Total37810388
Accuracy
100.0%
Counts
388 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.7%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
83.0%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
80.8%
(+.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))))
81.6%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
71.2%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))))
74.9%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))))
73.2%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
60.0%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
66.2%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
11.0%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
Compiler

Compiled 312 to 180 computations (42.3% saved)

simplify357.0ms (3%)

Memory
29.0MiB live, 143.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))
cost-diff0
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))))
cost-diff256
(*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff832
(fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
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 y (neg.f64 x))
cost-diff0
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))
cost-diff0
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))))
cost-diff0
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 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
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Rules
6 622×lower-fma.f32
6 610×lower-fma.f64
2 618×lower-*.f32
2 610×lower-*.f64
1 406×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042403
071403
1131403
2244403
3525403
41167388
52107388
64168388
76320388
87090388
97518388
107948388
08029375
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
z
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(+.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 y (neg.f64 x)))))
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))
(*.f64 y (neg.f64 x))
(neg.f64 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))))
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 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))))
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))
(fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(*.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
y
#s(literal -5641895835477563/5000000000000000 binary64)
(/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
z
(*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))
(neg.f64 x)
#s(literal 5641895835477563/5000000000000000 binary64)
(/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))
Outputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
z
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(+.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 y (neg.f64 x)))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 x (neg.f64 y)))))
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 x (neg.f64 y))))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 x (neg.f64 y)))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(neg.f64 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 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #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 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 #s(literal 5641895835477563/5000000000000000 binary64) z #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))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #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)))
#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 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (*.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (fma.f64 z (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal -1 binary64)))))
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (*.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (fma.f64 z (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(*.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (fma.f64 z (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal -1 binary64)))
(*.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
y
#s(literal -5641895835477563/5000000000000000 binary64)
(/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 z (fma.f64 y (*.f64 x (fma.f64 x y #s(literal -5641895835477563/2500000000000000 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))
z
(*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (*.f64 x (fma.f64 x y #s(literal -5641895835477563/2500000000000000 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))
(fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))
(neg.f64 x)
#s(literal 5641895835477563/5000000000000000 binary64)
(/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))

localize177.0ms (1.5%)

Memory
-51.0MiB live, 150.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.576503759768442
(*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy2.6914420761196145
(/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
accuracy7.004207948852869
(/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy26.23024051424769
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))
accuracy0.125
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
accuracy0.5976562500000001
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
accuracy6.2616161233023675
(/.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)))
accuracy31.361927945973047
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy0
(neg.f64 x)
accuracy0.00390625
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))))
accuracy6.2616161233023675
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))))
accuracy28.465168511891616
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0.00390625
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
accuracy29.550330531104997
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))
accuracy0.07421875
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
accuracy0.5976562500000001
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
accuracy6.2616161233023675
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
accuracy19.75820268510736
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
Samples
130.0ms256×0valid
Compiler

Compiled 285 to 34 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
const: 59.0ms (53.5% of total)
ival-div: 25.0ms (22.7% of total)
ival-mult: 15.0ms (13.6% of total)
ival-add: 7.0ms (6.4% of total)
ival-exp: 2.0ms (1.8% of total)
ival-sub: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series137.0ms (1.2%)

Memory
-11.8MiB live, 108.9MiB allocated
Counts
24 → 684
Calls
Call 1
Inputs
#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (patch #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) #<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 y (neg.f64 x))))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))))) #<representation binary64>) () ())
#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 y (neg.f64 x)) (patch (*.f64 y (neg.f64 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 (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (patch (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) (patch (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))) (patch (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))) (patch #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
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#s(alt (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) (patch (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (patch (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ())
Outputs
#s(alt (* 5000000000000000/5641895835477563 (/ y (exp z))) (taylor 0 x) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) (taylor 0 x) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))) (taylor 0 x) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))) (taylor 0 x) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* 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))))) (taylor inf x) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 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 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 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 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 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 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 5000000000000000/5641895835477563 (/ y (exp z)))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
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Calls

171 calls:

TimeVariablePointExpression
22.0ms
x
@0
(+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000)))
3.0ms
y
@inf
(* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000))
2.0ms
x
@inf
(+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000)))
1.0ms
y
@0
(+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000)))
1.0ms
x
@inf
(/ -1 x)

simplify559.0ms (4.7%)

Memory
13.6MiB live, 396.1MiB allocated
Algorithm
egg-herbie
Rules
8 034×lower-fma.f64
8 034×lower-fma.f32
5 816×lower-*.f64
5 816×lower-*.f32
3 426×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083111723
1254611524
2776411470
0813510879
Stop Event
iter limit
node limit
Counts
684 → 669
Calls
Call 1
Inputs
(* 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))))))
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
(* -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
(+ 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))))))
(- 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))))
(- 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))
(+ 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)))))
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(+ 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))))
(+ 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))))
(* 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)))))
(/ -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)))
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(/ -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))
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(/ y (- 5641895835477563/5000000000000000 (* x y)))
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(/ (+ (* 5641895835477563/2500000000000000 (/ z (* x (pow y 3)))) (/ z (pow y 2))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 4)))) (pow x 2))) (/ z (pow y 2))) (* -5641895835477563/2500000000000000 (/ z (* x (pow y 3))))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 5641895835477563/2500000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 4)))) y)) (* 179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ z (pow y 5)))) (pow x 3))) (/ z (pow y 2))) (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (* (pow x 2) (pow y 4)))) (+ (* -5641895835477563/2500000000000000 (/ z (* x (pow y 3)))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 4))))))) (pow x 2))
(/ z (* (pow x 2) (pow y 2)))
(/ (+ (* 5641895835477563/2500000000000000 (/ z (* x (pow y 3)))) (/ z (pow y 2))) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (* x (pow y 4)))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* x (pow y 4))))) (* 5641895835477563/2500000000000000 (/ z (pow y 3)))) x)) (/ z (pow y 2))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ z (* x (pow y 5)))) (* -5641895835477563/2500000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 4)))) (* x y)))) (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 4))))) x)) (* 5641895835477563/2500000000000000 (/ z (pow y 3)))) x)) (/ z (pow y 2))) (pow x 2))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z z)))) x)
(+ (* 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))))))
(fma.f64 x (fma.f64 (/.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (fma.f64 x (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 y y))) (exp.f64 (+.f64 z (+.f64 z z)))) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
(+ (* 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))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (*.f64 x (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
x
(* x (- 1 (/ 1 (pow x 2))))
(+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(*.f64 x (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(* 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)))))
(*.f64 x (-.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64)) (fma.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 x) x)
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(fma.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 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 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (/.f64 (*.f64 (exp.f64 (+.f64 z z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 x (*.f64 y y)))) (*.f64 x (*.f64 x x)))) (neg.f64 x) x)
x
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 (exp.f64 (neg.f64 z)) y) x)
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z z)))) x)
(+ 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))))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 x x)) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z)))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))) x)
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(+.f64 x (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y x)) #s(literal -1 binary64)) x))
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(+.f64 x (-.f64 (/.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y (*.f64 x x)))) #s(literal -1 binary64)) x) (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y (*.f64 x 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))))
(-.f64 (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z (+.f64 z z))) (*.f64 y (*.f64 y (*.f64 y (pow.f64 x #s(literal 4 binary64)))))) x) (fma.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x x))) (fma.f64 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 (*.f64 y y) (*.f64 x (*.f64 x x)))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))))
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(+.f64 x (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y x)) #s(literal -1 binary64)) x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))
(+.f64 (-.f64 x (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x x))) y)) (/.f64 #s(literal -1 binary64) 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))
(+.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z (+.f64 z z))) (*.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (exp.f64 (+.f64 z z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 x (*.f64 x x)))) y)) y)) (/.f64 #s(literal -1 binary64) x))
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(fma.f64 z (/.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 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 z (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 y (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 y (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 y #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))) (neg.f64 z))) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 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 z (fma.f64 z (neg.f64 (fma.f64 z (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 y (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 y #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) (fma.f64 (/.f64 y (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (/.f64 (*.f64 y #s(literal 5641895835477563/30000000000000000 binary64)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))) (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 y (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 y #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))))) (/.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(*.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z 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)))))
(*.f64 y (fma.f64 y (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 x x)) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z)))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 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)))))
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 x x) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (/.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z)))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
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(/.f64 (-.f64 (-.f64 (/.f64 z (*.f64 y y)) (/.f64 (fma.f64 #s(literal 5641895835477563/2500000000000000 binary64) (*.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -95492965855137205879584829256907/25000000000000000000000000000000 binary64) y)) (/.f64 (*.f64 z #s(literal 179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 binary64)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 z (*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))) (fma.f64 #s(literal -31830988618379068626528276418969/6250000000000000000000000000000 binary64) (/.f64 z (*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))) (*.f64 #s(literal -5641895835477563/2500000000000000 binary64) (/.f64 z (*.f64 y (*.f64 x (*.f64 y y)))))))) (*.f64 x x))
(/ z (* (pow x 2) (pow y 2)))
(/.f64 z (*.f64 y (*.f64 y (*.f64 x x))))
(/ (+ (* 5641895835477563/2500000000000000 (/ z (* x (pow y 3)))) (/ z (pow y 2))) (pow x 2))
(/.f64 (fma.f64 #s(literal 5641895835477563/2500000000000000 binary64) (/.f64 z (*.f64 y (*.f64 x (*.f64 y y)))) (/.f64 z (*.f64 y y))) (*.f64 x x))
(/ (+ (* -1 (/ (- (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (* x (pow y 4)))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* x (pow y 4))))) (* 5641895835477563/2500000000000000 (/ z (pow y 3)))) x)) (/ z (pow y 2))) (pow x 2))
(/.f64 (-.f64 (/.f64 z (*.f64 y y)) (/.f64 (fma.f64 (/.f64 z (*.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -95492965855137205879584829256907/25000000000000000000000000000000 binary64) (*.f64 (/.f64 z (*.f64 y (*.f64 y y))) #s(literal -5641895835477563/2500000000000000 binary64))) x)) (*.f64 x x))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ z (* x (pow y 5)))) (* -5641895835477563/2500000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 4)))) (* x y)))) (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 4))))) x)) (* 5641895835477563/2500000000000000 (/ z (pow y 3)))) x)) (/ z (pow y 2))) (pow x 2))
(/.f64 (-.f64 (/.f64 z (*.f64 y y)) (/.f64 (fma.f64 (/.f64 z (*.f64 y (*.f64 y y))) #s(literal -5641895835477563/2500000000000000 binary64) (/.f64 (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 binary64) (/.f64 z (*.f64 x (pow.f64 y #s(literal 5 binary64)))) (fma.f64 #s(literal -5641895835477563/2500000000000000 binary64) (/.f64 (/.f64 (*.f64 z #s(literal -95492965855137205879584829256907/25000000000000000000000000000000 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 y x)) (*.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) #s(literal 95492965855137205879584829256907/25000000000000000000000000000000 binary64)))) (neg.f64 x))) x)) (*.f64 x x))

rewrite513.0ms (4.3%)

Memory
20.5MiB live, 598.1MiB allocated
Rules
5 102×lower-*.f32
5 094×lower-*.f64
4 298×lower-/.f32
4 286×lower-/.f64
3 698×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042354
071334
1332334
22705334
08824334
Stop Event
iter limit
node limit
iter limit
Counts
24 → 576
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #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 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(+.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 y (neg.f64 x)))))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))
(*.f64 y (neg.f64 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)))
(fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(neg.f64 x)
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))
(/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
Outputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))) (/.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (-.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) x)
(fma.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 y (fma.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) x)
(fma.f64 (/.f64 y (*.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) (-.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))))))
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(neg.f64 (/.f64 z (neg.f64 (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))))
(neg.f64 (/.f64 (neg.f64 z) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))
(/.f64 z (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) z)))
(/.f64 (neg.f64 z) (neg.f64 (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) (/.f64 z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))
(/.f64 (/.f64 z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))))
(/.f64 (neg.f64 (/.f64 z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) z) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) (/.f64 z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) #s(literal -1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))))
(*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) z)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (/.f64 z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(*.f64 (/.f64 z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(*.f64 (/.f64 (/.f64 z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (fma.f64 x (*.f64 y (*.f64 x y)) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)))))
(*.f64 (/.f64 (/.f64 z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)))

eval187.0ms (1.6%)

Memory
27.6MiB live, 472.0MiB allocated
Compiler

Compiled 43 240 to 3 068 computations (92.9% saved)

prune261.0ms (2.2%)

Memory
-9.4MiB live, 401.4MiB allocated
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1 307101 317
Fresh325
Picked235
Done000
Total1 312151 327
Accuracy
100.0%
Counts
1 327 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(fma.f64 (/.f64 y (*.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
80.8%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
84.7%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
83.0%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
65.4%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
84.7%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
80.8%
(+.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))))
80.8%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
69.4%
(+.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))))
81.6%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
73.2%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
53.0%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))))
47.5%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))
34.3%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))))
60.0%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
Compiler

Compiled 575 to 298 computations (48.2% saved)

simplify215.0ms (1.8%)

Memory
-22.8MiB live, 288.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))
cost-diff0
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))
cost-diff0
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))))
cost-diff320
(fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x)))
cost-diff0
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
cost-diff192
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
cost-diff0
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))
cost-diff0
(/.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)))
cost-diff0
(+.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))))
cost-diff0
(*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))
cost-diff0
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))
cost-diff0
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))
cost-diff0
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))
cost-diff0
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
cost-diff0
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 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(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Rules
8 932×lower-fma.f32
8 920×lower-fma.f64
3 014×lower-*.f32
2 998×lower-*.f64
2 132×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065679
095674
1191649
2371649
3931649
42092613
53407613
65855613
77813613
08234583
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))
z
#s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))
(*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))
(*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))
(*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))
y
(fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))
z
#s(literal -5000000000000000/5641895835477563 binary64)
#s(literal 5000000000000000/5641895835477563 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))))
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)))
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))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))
z
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
(/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
#s(literal 1 binary64)
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))
#s(literal 5641895835477563/5000000000000000 binary64)
z
(*.f64 x y)
x
y
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))))
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))
(*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))
y
(fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x)))
#s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)
(*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))
#s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64)
(*.f64 z x)
z
(fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))
#s(literal -5000000000000000/5641895835477563 binary64)
#s(literal 5000000000000000/5641895835477563 binary64)
Outputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64)))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) #s(literal 5641895835477563/5000000000000000 binary64))
z
#s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))
#s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z)))
(*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))
(*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))
(*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))
(*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))
y
(fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))
z
#s(literal -5000000000000000/5641895835477563 binary64)
#s(literal 5000000000000000/5641895835477563 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))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (*.f64 x y))))
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 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (*.f64 x y)))
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 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
#s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
#s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
z
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
#s(literal 1 binary64)
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))
#s(literal 5641895835477563/5000000000000000 binary64)
z
(*.f64 x y)
x
y
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 x (*.f64 y (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))))
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 x (*.f64 y (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 x (*.f64 y (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))
(*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))
(*.f64 y (fma.f64 x (*.f64 y (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))
y
(fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 x (*.f64 y (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x)))
(*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))
#s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)
(*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))
(*.f64 z (*.f64 x #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64)))
#s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64)
(*.f64 z x)
(*.f64 x z)
z
(fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))
#s(literal -5000000000000000/5641895835477563 binary64)
#s(literal 5000000000000000/5641895835477563 binary64)

localize219.0ms (1.9%)

Memory
40.6MiB live, 228.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.65931419191475
(*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))
accuracy2.434083047670092
(fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))
accuracy26.23024051424769
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))
accuracy35.304967886270994
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))
accuracy0.4202161456614597
(/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
accuracy0.5976562500000001
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
accuracy1.4697461083455228
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
accuracy31.361927945973047
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy0.5976562500000001
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))
accuracy6.2616161233023675
(/.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)))
accuracy30.9901331467352
#s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy31.361927945973047
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
accuracy0.19921875
(fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))
accuracy0.28515625
(*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))
accuracy26.23024051424769
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))
accuracy34.6271566852719
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))
accuracy0.5976562500000001
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
accuracy6.2616161233023675
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
accuracy19.75820268510736
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy30.874604398420754
#s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))
Samples
149.0ms256×0valid
Compiler

Compiled 354 to 53 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
ival-mult: 60.0ms (52.6% of total)
const: 31.0ms (27.2% of total)
ival-add: 12.0ms (10.5% of total)
ival-div: 6.0ms (5.3% of total)
ival-exp: 2.0ms (1.8% of total)
ival-sub: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series106.0ms (0.9%)

Memory
-49.8MiB live, 127.2MiB allocated
Counts
25 → 732
Calls
Call 1
Inputs
#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 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(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 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(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) (patch (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (patch #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))) (patch (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))) (patch #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) (patch #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) (patch (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) #<representation binary64>) () ())
#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ())
#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (patch #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ())
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#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #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 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (patch #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (patch (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))) (patch (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))) (patch #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))) (patch #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) (patch #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) (patch (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (patch #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) (patch (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) (patch (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) #<representation binary64>) () ())
Outputs
#s(alt (* 5000000000000000/5641895835477563 (/ y (exp z))) (taylor 0 x) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 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(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) (taylor 0 x) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 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(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))) (taylor 0 x) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 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(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))) (taylor 0 x) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 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(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 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(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 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(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 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(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* 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))))) (taylor inf x) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 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(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 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(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 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 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 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(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 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 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 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(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 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 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 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(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 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(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 5000000000000000/5641895835477563 (/ y (exp z)))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 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(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 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(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
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#s(alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (taylor -inf z) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) (taylor 0 x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) (taylor 0 x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) (taylor 0 x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #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)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) (taylor inf x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) (taylor inf x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) (taylor inf x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #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)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ())
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#s(alt (* 5641895835477563/5000000000000000 (exp z)) (taylor 0 y) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) (taylor 0 y) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) (taylor 0 y) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) (taylor 0 y) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf y) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) (taylor inf y) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) (taylor inf y) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) (taylor inf y) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf y) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x)))) (taylor -inf y) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (/ (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)) x)) (* y (- (* 50000000000000000000000000000000/31830988618379068626528276418969 z) 25000000000000000000000000000000/31830988618379068626528276418969))))) (taylor -inf x) (#s(alt (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) (patch (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))) (taylor 0 z) (#s(alt (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) (patch (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 5000000000000000/5641895835477563 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)) (* z (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563)))) (taylor 0 z) (#s(alt (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) (patch (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 5000000000000000/5641895835477563 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)) (* z (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563)))) (taylor 0 z) (#s(alt (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) (patch (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 5000000000000000/5641895835477563 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)) (* z (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563)))) (taylor 0 z) (#s(alt (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) (patch (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563)) (taylor inf z) (#s(alt (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) (patch (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) z)) (* 5000000000000000/5641895835477563 (/ 1 z)))) 5000000000000000/5641895835477563)) (taylor inf z) (#s(alt (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) (patch (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) z)) (* 5000000000000000/5641895835477563 (/ 1 z)))) 5000000000000000/5641895835477563)) (taylor inf z) (#s(alt (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) (patch (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* x (* (pow y 2) (+ 25000000000000000000000000000000/31830988618379068626528276418969 (* -50000000000000000000000000000000/31830988618379068626528276418969 z)))) (taylor inf x) (#s(alt (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) (patch (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* (pow y 2) (+ 25000000000000000000000000000000/31830988618379068626528276418969 (* -50000000000000000000000000000000/31830988618379068626528276418969 z))) (/ (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))) x))) (taylor inf x) (#s(alt (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) (patch (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* (pow y 2) (+ 25000000000000000000000000000000/31830988618379068626528276418969 (* -50000000000000000000000000000000/31830988618379068626528276418969 z))) (/ (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))) x))) (taylor inf x) (#s(alt (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) (patch (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* (pow y 2) (+ 25000000000000000000000000000000/31830988618379068626528276418969 (* -50000000000000000000000000000000/31830988618379068626528276418969 z))) (/ (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))) x))) (taylor inf x) (#s(alt (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) (patch (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (pow y 2) (- (* 50000000000000000000000000000000/31830988618379068626528276418969 z) 25000000000000000000000000000000/31830988618379068626528276418969)))) (taylor -inf x) (#s(alt (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) (patch (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))) x)) (* (pow y 2) (- (* 50000000000000000000000000000000/31830988618379068626528276418969 z) 25000000000000000000000000000000/31830988618379068626528276418969))))) (taylor -inf x) (#s(alt (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) (patch (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))) x)) (* (pow y 2) (- (* 50000000000000000000000000000000/31830988618379068626528276418969 z) 25000000000000000000000000000000/31830988618379068626528276418969))))) (taylor -inf x) (#s(alt (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) (patch (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))) x)) (* (pow y 2) (- (* 50000000000000000000000000000000/31830988618379068626528276418969 z) 25000000000000000000000000000000/31830988618379068626528276418969))))) (taylor -inf x) (#s(alt (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) (patch (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))) (taylor 0 z) (#s(alt (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) (patch (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (* z (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563))) (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))))) (taylor 0 z) (#s(alt (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) (patch (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (* z (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563))) (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))))) (taylor 0 z) (#s(alt (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) (patch (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (* z (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563))) (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))))) (taylor 0 z) (#s(alt (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) (patch (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (* z (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563))) (taylor inf z) (#s(alt (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) (patch (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* y (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563)) (/ (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))) z))) (taylor inf z) (#s(alt (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) (patch (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* y (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563)) (/ (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))) z))) (taylor inf z) (#s(alt (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) (patch (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* y (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563)) (/ (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))) z))) (taylor inf z) (#s(alt (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) (patch (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (* z (+ 5000000000000000/5641895835477563 (* 50000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))) (taylor -inf z) (#s(alt (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) (patch (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))) z)) (* y (+ 5000000000000000/5641895835477563 (* 50000000000000000000000000000000/31830988618379068626528276418969 (* x y))))))) (taylor -inf z) (#s(alt (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) (patch (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))) z)) (* y (+ 5000000000000000/5641895835477563 (* 50000000000000000000000000000000/31830988618379068626528276418969 (* x y))))))) (taylor -inf z) (#s(alt (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) (patch (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))) z)) (* y (+ 5000000000000000/5641895835477563 (* 50000000000000000000000000000000/31830988618379068626528276418969 (* x y))))))) (taylor -inf z) (#s(alt (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) (patch (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) #<representation binary64>) () ())) ())
Calls

183 calls:

TimeVariablePointExpression
17.0ms
z
@inf
(* 5641895835477563/5000000000000000 (exp z))
6.0ms
y
@0
(* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)))
1.0ms
x
@0
(+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))
1.0ms
x
@inf
(+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))
1.0ms
y
@0
(+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))

simplify460.0ms (3.9%)

Memory
27.3MiB live, 542.9MiB allocated
Algorithm
egg-herbie
Rules
8 400×lower-fma.f64
8 400×lower-fma.f32
5 804×lower-*.f64
5 804×lower-*.f32
3 794×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078812933
1246312602
2762612548
0817311766
Stop Event
iter limit
node limit
Counts
732 → 717
Calls
Call 1
Inputs
(* 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))))))
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
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
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5641895835477563/5000000000000000
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(* -1 (* x (+ (* -1 (/ (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))) x)) (* (pow y 2) (- (* 50000000000000000000000000000000/31830988618379068626528276418969 z) 25000000000000000000000000000000/31830988618379068626528276418969)))))
(* -1 (* x (+ (* -1 (/ (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))) x)) (* (pow y 2) (- (* 50000000000000000000000000000000/31830988618379068626528276418969 z) 25000000000000000000000000000000/31830988618379068626528276418969)))))
(* -1 (* x (+ (* -1 (/ (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))) x)) (* (pow y 2) (- (* 50000000000000000000000000000000/31830988618379068626528276418969 z) 25000000000000000000000000000000/31830988618379068626528276418969)))))
(* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))))
(+ (* y (* z (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563))) (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))
(+ (* y (* z (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563))) (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))
(+ (* y (* z (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563))) (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))
(* y (* z (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563)))
(* z (+ (* y (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563)) (/ (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))) z)))
(* z (+ (* y (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563)) (/ (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))) z)))
(* z (+ (* y (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563)) (/ (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))) z)))
(* -1 (* y (* z (+ 5000000000000000/5641895835477563 (* 50000000000000000000000000000000/31830988618379068626528276418969 (* x y))))))
(* -1 (* z (+ (* -1 (/ (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))) z)) (* y (+ 5000000000000000/5641895835477563 (* 50000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))))
(* -1 (* z (+ (* -1 (/ (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))) z)) (* y (+ 5000000000000000/5641895835477563 (* 50000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))))
(* -1 (* z (+ (* -1 (/ (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))) z)) (* y (+ 5000000000000000/5641895835477563 (* 50000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (exp.f64 (+.f64 z z)))) x)
(+ (* 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))))))
(fma.f64 x (fma.f64 (/.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (fma.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) x) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z)))) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
(+ (* 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))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (*.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (pow.f64 y #s(literal 4 binary64))) x) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
x
(* x (- 1 (/ 1 (pow x 2))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(*.f64 x (+.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(* 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)))))
(*.f64 x (-.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64)) (fma.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 x) x)
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(fma.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 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 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y x))) (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) y)) (*.f64 x (*.f64 x x)))) (neg.f64 x) x)
x
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 (exp.f64 (neg.f64 z)) y) x)
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (exp.f64 (+.f64 z z)))) x)
(+ 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))))))
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (*.f64 y (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 x x)) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z)))))) x)
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(+.f64 x (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y x)) #s(literal -1 binary64)) x))
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(+.f64 x (-.f64 (/.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 x (*.f64 y (*.f64 y x)))) #s(literal -1 binary64)) x) (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y (*.f64 x 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))))
(-.f64 (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z (+.f64 z z))) (*.f64 y (*.f64 y (*.f64 y (pow.f64 x #s(literal 4 binary64)))))) x) (fma.f64 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 x (*.f64 x (*.f64 y (*.f64 y x))))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))))
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(+.f64 x (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y x)) #s(literal -1 binary64)) x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))
(+.f64 (-.f64 x (/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x x)) (/.f64 (*.f64 (exp.f64 (+.f64 z z)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 x (*.f64 x x))))) y)) (/.f64 #s(literal -1 binary64) 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))
(+.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z (+.f64 z z))) (*.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (exp.f64 (+.f64 z z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 x (*.f64 x x)))) y)) y)) (/.f64 #s(literal -1 binary64) x))
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+.f64 x (fma.f64 y (/.f64 (*.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(+ 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 z (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (*.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (/.f64 (*.f64 y #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (neg.f64 z))) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(+ 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 z (fma.f64 z (neg.f64 (fma.f64 z (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (/.f64 (*.f64 y #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (fma.f64 (/.f64 y (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (/.f64 (*.f64 y #s(literal 5641895835477563/30000000000000000 binary64)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (/.f64 (*.f64 y #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))) (/.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(*.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (exp.f64 (+.f64 z 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)))))
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(*.f64 (-.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64))) (/.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64))) z)) (neg.f64 z))
(* -1 (* z (+ (* -1 (/ (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))) z)) (* y (+ 5000000000000000/5641895835477563 (* 50000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))))
(*.f64 (-.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64))) (/.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64))) z)) (neg.f64 z))

rewrite421.0ms (3.6%)

Memory
47.3MiB live, 607.2MiB allocated
Rules
6 200×lower-*.f32
6 184×lower-*.f64
4 836×lower-fma.f32
4 824×lower-fma.f64
3 462×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065599
095564
1447545
23516545
09247523
Stop Event
iter limit
node limit
iter limit
Counts
25 → 448
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))
(*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 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))))
(/.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 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
(/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))
(fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))
#s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))
Outputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))) (/.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (-.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x)
(fma.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 y (fma.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))))) x)
(fma.f64 (/.f64 y (*.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) (-.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))))))
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(fma.f64 (fma.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))) y (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))) (*.f64 (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (*.f64 y (*.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) (*.f64 (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))) (fma.f64 (*.f64 y (*.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))) (*.f64 y (*.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))) (-.f64 (*.f64 (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))) (*.f64 (*.f64 y (*.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))) (*.f64 y (*.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))) (*.f64 (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))) (-.f64 (*.f64 y (*.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))
(/.f64 (*.f64 y (fma.f64 (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) (*.f64 (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) (*.f64 (*.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))) (*.f64 (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (*.f64 y (*.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))))) (fma.f64 (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) (-.f64 (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) (*.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))) (*.f64 (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (*.f64 y (*.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))))
(/.f64 (*.f64 y (*.f64 (fma.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) (fma.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (neg.f64 (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))) (fma.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (neg.f64 (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))
(/.f64 (*.f64 (fma.f64 (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) (*.f64 (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) (*.f64 (*.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))) (*.f64 (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (*.f64 y (*.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))) y) (fma.f64 (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) (-.f64 (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) (*.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))) (*.f64 (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (*.f64 y (*.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) (fma.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (neg.f64 (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))) y) (fma.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (neg.f64 (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))
(*.f64 y (fma.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))
(*.f64 (fma.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) y)

eval239.0ms (2%)

Memory
-8.6MiB live, 355.0MiB allocated
Compiler

Compiled 38 739 to 2 477 computations (93.6% saved)

prune181.0ms (1.5%)

Memory
-27.4MiB live, 336.0MiB allocated
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New1 18591 194
Fresh347
Picked325
Done213
Total1 193161 209
Accuracy
100.0%
Counts
1 209 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(fma.f64 (/.f64 y (*.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
82.9%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
69.4%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (*.f64 x y))) y x)
83.0%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
65.4%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
84.7%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
69.4%
(+.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))))
81.6%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
73.2%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
53.0%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))))
44.4%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))))
54.4%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))
43.3%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))))))
33.5%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (*.f64 (*.f64 y x) (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))))
32.7%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (*.f64 z (fma.f64 y (*.f64 x #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal -5000000000000000/5641895835477563 binary64))))))))
33.9%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))))
Compiler

Compiled 594 to 303 computations (49% saved)

simplify295.0ms (2.5%)

Memory
47.2MiB live, 344.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))
cost-diff0
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))))
cost-diff0
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))))
cost-diff256
(*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff0
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))
cost-diff0
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
cost-diff0
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))))
cost-diff128
(neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))
cost-diff0
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
cost-diff0
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
cost-diff0
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
cost-diff0
(*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)))
cost-diff0
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))
cost-diff0
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)))))
cost-diff0
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))
cost-diff0
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #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 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #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 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Rules
11 456×lower-fma.f32
11 448×lower-fma.f64
3 368×lower-*.f32
3 352×lower-*.f64
1 938×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072772
0101772
1208764
2455760
31243706
42887706
54541706
67480706
08042654
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #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 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
z
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))
(*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)))
y
#s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))
#s(literal 5000000000000000/5641895835477563 binary64)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)))
#s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))))
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))
#s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))
(*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))))
(*.f64 y (*.f64 y x))
y
(*.f64 y x)
(neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))
(fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))
z
#s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64)
#s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))))
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))))
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))
(/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z))
#s(literal -5641895835477563/5000000000000000 binary64)
(*.f64 y z)
y
z
(*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))
(neg.f64 x)
#s(literal 5641895835477563/5000000000000000 binary64)
Outputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #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 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
z
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))
(*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)))
y
#s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))
#s(literal 5000000000000000/5641895835477563 binary64)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)))
#s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 y (*.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))))
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 y (*.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))))
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 y (*.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
#s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))
#s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 y (*.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))
(*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))))
(*.f64 y (*.f64 y (*.f64 x (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))
(*.f64 y (*.f64 y x))
(*.f64 y (*.f64 x y))
y
(*.f64 y x)
(*.f64 x y)
(neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))
(fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))
(fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))
z
#s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64)
#s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 y (*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))) (fma.f64 x (*.f64 y (fma.f64 x y #s(literal -5641895835477563/2500000000000000 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))))))
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 y (*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))) (fma.f64 x (*.f64 y (fma.f64 x y #s(literal -5641895835477563/2500000000000000 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 y (*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))) (fma.f64 x (*.f64 y (fma.f64 x y #s(literal -5641895835477563/2500000000000000 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))))
(/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 (*.f64 y (*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))) (fma.f64 x (*.f64 y (fma.f64 x y #s(literal -5641895835477563/2500000000000000 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -5641895835477563/5000000000000000 binary64)))
#s(literal -5641895835477563/5000000000000000 binary64)
(*.f64 y z)
y
z
(*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 x (*.f64 y (fma.f64 x y #s(literal -5641895835477563/2500000000000000 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))
(fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))
(neg.f64 x)
#s(literal 5641895835477563/5000000000000000 binary64)

localize540.0ms (4.6%)

Memory
-47.7MiB live, 351.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.576503759768442
(*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy9.263488525023131
(/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
accuracy26.23024051424769
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))))
accuracy39.38518975773938
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))
accuracy4.347950509981144
(*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))))
accuracy26.23024051424769
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
accuracy26.79792250487858
#s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))
accuracy35.304967886270994
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))
accuracy0.5976562500000001
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
accuracy6.2616161233023675
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
accuracy31.361927945973047
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy31.767471127337284
#s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))
accuracy0.28515625
(*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)))
accuracy26.23024051424769
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)))))
accuracy31.695730240430926
#s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))
accuracy34.6271566852719
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))
accuracy0.125
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
accuracy0.5976562500000001
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
accuracy6.2616161233023675
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
accuracy22.583240693083585
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
Samples
345.0ms256×0valid
Compiler

Compiled 376 to 54 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 293.0ms
const: 219.0ms (74.6% of total)
ival-mult: 52.0ms (17.7% of total)
ival-add: 10.0ms (3.4% of total)
ival-div: 6.0ms (2% of total)
ival-exp: 2.0ms (0.7% of total)
ival-neg: 2.0ms (0.7% of total)
ival-sub: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series94.0ms (0.8%)

Memory
-0.3MiB live, 189.0MiB allocated
Counts
26 → 768
Calls
Call 1
Inputs
#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #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 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #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 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #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 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #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 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #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 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (patch #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ())
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#s(alt #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (patch #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (patch (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))) #<representation binary64>) () ())
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#s(alt #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))) (patch #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))) (patch #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) (patch #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)) (patch #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())
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#s(alt (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))) (patch (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (patch (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ())
Outputs
#s(alt (* 5000000000000000/5641895835477563 (/ y (exp z))) (taylor 0 x) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #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 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) (taylor 0 x) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #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 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))) (taylor 0 x) (#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #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 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())) ())
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#s(alt (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (taylor inf z) (#s(alt (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (patch (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (taylor inf z) (#s(alt (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (patch (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -5000000000000000/5641895835477563 (* y z)) (* x (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* 5641895835477563/5000000000000000 (* x (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z)))))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (patch (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* x (pow y 2)))) (+ (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))) (pow x 2))))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (patch (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* x (pow y 2)))) (+ (* -5641895835477563/5000000000000000 (/ z y)) (+ (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))) (pow x 2))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/2500000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))) y)) (* 179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ z (pow y 4)))) (pow x 3)))))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (patch (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (patch (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z y))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (patch (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -5641895835477563/5000000000000000 (/ z y)) (* -1 (/ (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))) x)) (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ z (pow y 2)))) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (patch (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -5641895835477563/5000000000000000 (/ z y)) (* -1 (/ (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (/ (+ (* -179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ z (pow y 4))) (* -5641895835477563/2500000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))) y))) x)) (* 5641895835477563/5000000000000000 (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))))) x)) (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ z (pow y 2)))) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (patch (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ())) ())
Calls

192 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/ (* -5641895835477563/5000000000000000 (* y z)) (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))
1.0ms
x
@0
(* (* y (* y x)) (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969)))
1.0ms
y
@0
(* (* y (* y x)) (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969)))
1.0ms
x
@inf
(/ (* -5641895835477563/5000000000000000 (* y z)) (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))
1.0ms
y
@inf
(/ (* -5641895835477563/5000000000000000 (* y z)) (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))

simplify460.0ms (3.9%)

Memory
12.4MiB live, 605.4MiB allocated
Algorithm
egg-herbie
Rules
10 660×lower-fma.f64
10 660×lower-fma.f32
6 160×lower-*.f64
6 160×lower-*.f32
4 184×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080214376
1248714006
2753313908
0813713098
Stop Event
iter limit
node limit
Counts
768 → 753
Calls
Call 1
Inputs
(* 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))))))
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
(* -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
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
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(* -1 (* x (+ (* -1 (/ (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))) x)) (* (pow y 2) (- (* 50000000000000000000000000000000/31830988618379068626528276418969 z) 25000000000000000000000000000000/31830988618379068626528276418969)))))
(* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))))
(+ (* y (* z (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563))) (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))
(+ (* y (* z (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563))) (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))
(+ (* y (* z (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563))) (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))
(* y (* z (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563)))
(* z (+ (* y (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563)) (/ (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))) z)))
(* z (+ (* y (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563)) (/ (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))) z)))
(* z (+ (* y (- (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563)) (/ (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))) z)))
(* -1 (* y (* z (+ 5000000000000000/5641895835477563 (* 50000000000000000000000000000000/31830988618379068626528276418969 (* x y))))))
(* -1 (* z (+ (* -1 (/ (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))) z)) (* y (+ 5000000000000000/5641895835477563 (* 50000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))))
(* -1 (* z (+ (* -1 (/ (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))) z)) (* y (+ 5000000000000000/5641895835477563 (* 50000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))))
(* -1 (* z (+ (* -1 (/ (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))) z)) (* y (+ 5000000000000000/5641895835477563 (* 50000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* x (* (pow y 2) (- 25000000000000000000000000000000/31830988618379068626528276418969 (* 50000000000000000000000000000000/31830988618379068626528276418969 z))))
(* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2)))
(+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x (* (pow y 2) z))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))))
(+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x (* (pow y 2) z))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))))
(+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x (* (pow y 2) z))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))))
(* -50000000000000000000000000000000/31830988618379068626528276418969 (* x (* (pow y 2) z)))
(* z (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) z))))
(* z (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) z))))
(* z (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) z))))
(* -50000000000000000000000000000000/31830988618379068626528276418969 (* x (* (pow y 2) z)))
(* -1 (* z (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) z)) (* 50000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))))))
(* -1 (* z (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) z)) (* 50000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))))))
(* -1 (* z (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) z)) (* 50000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))))))
(* -5000000000000000/5641895835477563 (* y z))
(* y (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x (* y z))) (* -5000000000000000/5641895835477563 z)))
(* y (+ (* -5000000000000000/5641895835477563 z) (* y (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* 5641895835477563/5000000000000000 (* y (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) z)))))))))
(* y (+ (* -5000000000000000/5641895835477563 z) (* y (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* y (+ (* 5641895835477563/5000000000000000 (* y (+ (* 6250000000000000000000000000000000000000000000000000000000000000000000000000000/5716435640373629036936327838135698990352533513761386655294448491685017549324043 (* (pow x 3) z)) (* 10000000000000000/5641895835477563 (* x (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) z)))))))) (* 5641895835477563/5000000000000000 (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) z))))))))))
(* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y)))
(/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ z (pow x 2)))) y)
(/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* (pow x 3) y))) (+ (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow x 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 4)))) (pow y 2))))) y)
(/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* (pow x 3) y))) (+ (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (+ (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow x 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 4)))) (pow y 2))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/2500000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow x 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 4)))) x)) (* 179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ z (pow x 5)))) (pow y 3)))))) y)
(* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y)))
(* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* (pow x 3) y)))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (pow x 3))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow x 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 4)))) y))) y)) (* 5641895835477563/5000000000000000 (/ z (pow x 2)))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (pow x 3))) (* -1 (/ (+ (* -5641895835477563/5000000000000000 (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow x 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 4))))) (* 5641895835477563/5000000000000000 (/ (+ (* -179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ z (pow x 5))) (* -5641895835477563/2500000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow x 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 4)))) x))) y))) y))) y)) (* 5641895835477563/5000000000000000 (/ z (pow x 2)))) y))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))
(* -5000000000000000/5641895835477563 (* y z))
(+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x (* (pow y 2) z))) (* -5000000000000000/5641895835477563 (* y z)))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* x (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* 5641895835477563/5000000000000000 (* x (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z))))))))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* x (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* x (+ (* 5641895835477563/5000000000000000 (* x (+ (* 6250000000000000000000000000000000000000000000000000000000000000000000000000000/5716435640373629036936327838135698990352533513761386655294448491685017549324043 (* (pow y 4) z)) (* 10000000000000000/5641895835477563 (* y (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z)))))))) (* 5641895835477563/5000000000000000 (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z)))))))))
(* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y)))
(/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z y))) (pow x 2))
(/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* x (pow y 2)))) (+ (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))) (pow x 2))))) (pow x 2))
(/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* x (pow y 2)))) (+ (* -5641895835477563/5000000000000000 (/ z y)) (+ (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))) (pow x 2))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/2500000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))) y)) (* 179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ z (pow y 4)))) (pow x 3)))))) (pow x 2))
(* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y)))
(/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z y))) (pow x 2))
(/ (+ (* -5641895835477563/5000000000000000 (/ z y)) (* -1 (/ (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))) x)) (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ z (pow y 2)))) x))) (pow x 2))
(/ (+ (* -5641895835477563/5000000000000000 (/ z y)) (* -1 (/ (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (/ (+ (* -179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ z (pow y 4))) (* -5641895835477563/2500000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))) y))) x)) (* 5641895835477563/5000000000000000 (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))))) x)) (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ z (pow y 2)))) x))) (pow x 2))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 y (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (exp.f64 (+.f64 z z)))) x)
(+ (* 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))))))
(fma.f64 x (fma.f64 (/.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 x (*.f64 y y))) (exp.f64 (+.f64 z (+.f64 z z)))) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))))
(+ (* 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))))))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)) (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 y y))) (exp.f64 (+.f64 z (+.f64 z z))))) (fma.f64 (/.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))))
x
(* x (- 1 (/ 1 (pow x 2))))
(+.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(*.f64 x (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(* 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)))))
(*.f64 x (-.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64)) (fma.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 x) x)
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(fma.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 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)))
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(/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))
(/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))
(/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))
(/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))
(/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))
(/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))
(/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))
(/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))
(/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))
(/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))
(/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(* -5000000000000000/5641895835477563 (* y z))
(*.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))
(+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x (* (pow y 2) z))) (* -5000000000000000/5641895835477563 (* y z)))
(*.f64 y (*.f64 z (fma.f64 y (*.f64 x #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal -5000000000000000/5641895835477563 binary64))))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* x (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* 5641895835477563/5000000000000000 (* x (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z))))))))
(fma.f64 y (*.f64 z (fma.f64 y (*.f64 x #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal -5000000000000000/5641895835477563 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 y (*.f64 z (*.f64 y y))) #s(literal -375000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)))))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* x (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* x (+ (* 5641895835477563/5000000000000000 (* x (+ (* 6250000000000000000000000000000000000000000000000000000000000000000000000000000/5716435640373629036936327838135698990352533513761386655294448491685017549324043 (* (pow y 4) z)) (* 10000000000000000/5641895835477563 (* y (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z)))))))) (* 5641895835477563/5000000000000000 (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z)))))))))
(fma.f64 y (*.f64 z (fma.f64 y (*.f64 x #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal -5000000000000000/5641895835477563 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 z (pow.f64 y #s(literal 4 binary64))) #s(literal 1250000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z (*.f64 y y)))) #s(literal -1875000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 y (*.f64 z (*.f64 y y))) #s(literal -375000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)))))
(* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y)))
(/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 y (*.f64 x x)))
(/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z y))) (pow x 2))
(/.f64 (fma.f64 #s(literal -31830988618379068626528276418969/12500000000000000000000000000000 binary64) (/.f64 z (*.f64 x (*.f64 y y))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y)) (*.f64 x x))
(/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* x (pow y 2)))) (+ (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))) (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z y) (fma.f64 #s(literal -31830988618379068626528276418969/12500000000000000000000000000000 binary64) (/.f64 z (*.f64 x (*.f64 y y))) (/.f64 (*.f64 (/.f64 z (*.f64 y (*.f64 y y))) #s(literal -538761366375499722458244049165201918096761277641/125000000000000000000000000000000000000000000000 binary64)) (*.f64 x x)))) (*.f64 x x))
(/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* x (pow y 2)))) (+ (* -5641895835477563/5000000000000000 (/ z y)) (+ (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))) (pow x 2))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/2500000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))) y)) (* 179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ z (pow y 4)))) (pow x 3)))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 (/.f64 z (*.f64 y (*.f64 y y))) (/.f64 #s(literal -95492965855137205879584829256907/25000000000000000000000000000000 binary64) (*.f64 x x)) (/.f64 (fma.f64 #s(literal 5641895835477563/2500000000000000 binary64) (*.f64 (/.f64 z (*.f64 y (*.f64 y y))) (/.f64 #s(literal -95492965855137205879584829256907/25000000000000000000000000000000 binary64) y)) (/.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 binary64) z) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -31830988618379068626528276418969/12500000000000000000000000000000 binary64) (/.f64 z (*.f64 x (*.f64 y y))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y))) (*.f64 x x))
(* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y)))
(/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 y (*.f64 x x)))
(/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z y))) (pow x 2))
(/.f64 (fma.f64 #s(literal -31830988618379068626528276418969/12500000000000000000000000000000 binary64) (/.f64 z (*.f64 x (*.f64 y y))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y)) (*.f64 x x))
(/ (+ (* -5641895835477563/5000000000000000 (/ z y)) (* -1 (/ (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))) x)) (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ z (pow y 2)))) x))) (pow x 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 z (*.f64 y (*.f64 y y))) (/.f64 #s(literal -95492965855137205879584829256907/25000000000000000000000000000000 binary64) x)) (*.f64 #s(literal 31830988618379068626528276418969/12500000000000000000000000000000 binary64) (/.f64 z (*.f64 y y)))) x)) (*.f64 x x))
(/ (+ (* -5641895835477563/5000000000000000 (/ z y)) (* -1 (/ (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (/ (+ (* -179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ z (pow y 4))) (* -5641895835477563/2500000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))) y))) x)) (* 5641895835477563/5000000000000000 (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))))) x)) (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ z (pow y 2)))) x))) (pow x 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (/.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/12500000000000000000000000000000 binary64) (/.f64 z (*.f64 y y))) (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 #s(literal -5641895835477563/2500000000000000 binary64) (*.f64 (/.f64 z (*.f64 y (*.f64 y y))) (/.f64 #s(literal -95492965855137205879584829256907/25000000000000000000000000000000 binary64) y)) (/.f64 (*.f64 #s(literal -179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 binary64) z) (pow.f64 y #s(literal 4 binary64)))) x) (*.f64 (/.f64 z (*.f64 y (*.f64 y y))) #s(literal -538761366375499722458244049165201918096761277641/125000000000000000000000000000000000000000000000 binary64))) x)) x)) (*.f64 x x))

rewrite444.0ms (3.8%)

Memory
-8.8MiB live, 472.3MiB allocated
Rules
4 352×lower-*.f32
4 336×lower-*.f64
4 108×lower-/.f32
4 102×lower-/.f64
3 894×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072711
0101655
1440647
23682647
08916610
Stop Event
iter limit
node limit
iter limit
Counts
26 → 415
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #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 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))
(*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)))
(neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))
(*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))))
#s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
#s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))
#s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))
#s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))
(*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))))
(/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
Outputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))) (/.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (-.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) x)
(fma.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 y (fma.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) x)
(fma.f64 (/.f64 y (*.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))) (fma.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) (-.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x) (*.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))) (+.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 x y) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) (-.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) (-.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))) (-.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))))) (neg.f64 (fma.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) (-.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))))) (neg.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 x y) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))))
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(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y z))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))
(*.f64 (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) y)
(*.f64 (*.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(*.f64 (/.f64 (*.f64 y z) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal -5641895835477563/5000000000000000 binary64))
(*.f64 (/.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) (/.f64 z (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(*.f64 (*.f64 (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) y) #s(literal -5641895835477563/5000000000000000 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (fma.f64 (*.f64 x y) (*.f64 x y) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal -1 binary64)) (/.f64 z (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))

eval281.0ms (2.4%)

Memory
34.9MiB live, 226.1MiB allocated
Compiler

Compiled 32 422 to 2 071 computations (93.6% saved)

prune197.0ms (1.7%)

Memory
11.7MiB live, 171.9MiB allocated
Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New1 16261 168
Fresh538
Picked325
Done033
Total1 170141 184
Accuracy
100.0%
Counts
1 184 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(fma.f64 (/.f64 y (*.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
84.7%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
83.0%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
69.4%
(+.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))))
81.6%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
73.2%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
43.3%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) #s(approx (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)) (*.f64 x (*.f64 x (fma.f64 y y (*.f64 #s(literal -5641895835477563/2500000000000000 binary64) (/.f64 y x))))))))))
37.2%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) #s(approx (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)) (*.f64 x (*.f64 x (*.f64 y y))))))))
44.4%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))))
54.4%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))
43.3%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))))))
49.4%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (/ (* -5641895835477563/5000000000000000 (* y z)) (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 y (*.f64 x x)))))))
38.8%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) #s(approx (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
38.8%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) #s(approx (* (* y (* y x)) (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969))) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
Compiler

Compiled 857 to 297 computations (65.3% saved)

regimes154.0ms (1.3%)

Memory
-30.6MiB live, 87.9MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) #s(approx (* (* y (* y x)) (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969))) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) #s(approx (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (*.f64 z (fma.f64 y (*.f64 x #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal -5000000000000000/5641895835477563 binary64))))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (*.f64 (*.f64 y x) (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 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))))
(+.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 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (/ (* -5641895835477563/5000000000000000 (* y z)) (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 y (*.f64 x x)))))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (*.f64 x y))) y x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
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#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
(+.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 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
Calls

6 calls:

43.0ms
z
42.0ms
x
36.0ms
(exp.f64 z)
11.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
10.0ms
y
Results
AccuracySegmentsBranch
96.8%1x
96.8%1y
98.8%2z
98.8%2(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
98.8%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
98.8%2(exp.f64 z)
Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes132.0ms (1.1%)

Memory
0.8MiB live, 90.2MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
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(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) #s(approx (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)) (*.f64 x (*.f64 x (fma.f64 y y (*.f64 #s(literal -5641895835477563/2500000000000000 binary64) (/.f64 y x))))))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 y (*.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (/.f64 y (*.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #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)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
Calls

6 calls:

47.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
43.0ms
y
11.0ms
x
10.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
10.0ms
z
Results
AccuracySegmentsBranch
84.7%1x
84.7%1y
99.9%3z
99.9%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.9%3(exp.f64 z)
97.0%4(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes36.0ms (0.3%)

Memory
4.0MiB live, 41.6MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
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(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) #s(approx (* (* y (* y x)) (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969))) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
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(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
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(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (*.f64 z (fma.f64 y (*.f64 x #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal -5000000000000000/5641895835477563 binary64))))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (*.f64 (*.f64 y x) (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 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))))
(+.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))))
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(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (*.f64 x y))) y x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
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(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) #s(approx (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)) (*.f64 x (*.f64 x (fma.f64 y y (*.f64 #s(literal -5641895835477563/2500000000000000 binary64) (/.f64 y x))))))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 y (*.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (/.f64 y (*.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) 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 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Calls

3 calls:

17.0ms
z
8.0ms
(exp.f64 z)
8.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
96.9%2z
96.9%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
96.9%2(exp.f64 z)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes33.0ms (0.3%)

Memory
-8.3MiB live, 30.2MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) #s(approx (* (* y (* y x)) (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969))) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) #s(approx (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (*.f64 z (fma.f64 y (*.f64 x #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal -5000000000000000/5641895835477563 binary64))))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (*.f64 (*.f64 y x) (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 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))))
(+.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 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (/ (* -5641895835477563/5000000000000000 (* y z)) (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 y (*.f64 x x)))))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (*.f64 x y))) y x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) #s(approx (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)) (*.f64 x (*.f64 x (*.f64 y 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 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Calls

3 calls:

17.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
8.0ms
z
6.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
96.9%2z
96.9%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
96.9%2(exp.f64 z)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes21.0ms (0.2%)

Memory
23.3MiB live, 23.3MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) #s(approx (* (* y (* y x)) (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969))) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) #s(approx (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (*.f64 z (fma.f64 y (*.f64 x #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal -5000000000000000/5641895835477563 binary64))))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (*.f64 (*.f64 y x) (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 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))))
(+.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 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (/ (* -5641895835477563/5000000000000000 (* y z)) (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 y (*.f64 x x)))))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (*.f64 x y))) y x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z x))) (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) 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 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Calls

3 calls:

7.0ms
z
6.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
6.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
95.1%2z
95.1%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
95.1%2(exp.f64 z)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes51.0ms (0.4%)

Memory
-5.1MiB live, 33.9MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) #s(approx (* (* y (* y x)) (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969))) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) #s(approx (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (*.f64 z (fma.f64 y (*.f64 x #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal -5000000000000000/5641895835477563 binary64))))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (*.f64 (*.f64 y x) (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 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))))
(+.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 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (/ (* -5641895835477563/5000000000000000 (* y z)) (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 y (*.f64 x x)))))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (*.f64 x y))) y x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))) #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 z #s(approx (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Calls

3 calls:

37.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
7.0ms
z
5.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
95.1%2z
95.1%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
95.1%2(exp.f64 z)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes28.0ms (0.2%)

Memory
2.7MiB live, 45.6MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) #s(approx (* (* y (* y x)) (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969))) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) #s(approx (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (*.f64 z (fma.f64 y (*.f64 x #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal -5000000000000000/5641895835477563 binary64))))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (*.f64 (*.f64 y x) (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 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))))
(+.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 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (/ (* -5641895835477563/5000000000000000 (* y z)) (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 y (*.f64 x x)))))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (*.f64 x y))) y x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) 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))))
Calls

4 calls:

8.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
6.0ms
z
6.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
5.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
87.9%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
91.6%2z
91.6%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
91.6%2(exp.f64 z)
Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes16.0ms (0.1%)

Memory
-0.9MiB live, 37.5MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) #s(approx (* (* y (* y x)) (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969))) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) #s(approx (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (*.f64 z (fma.f64 y (*.f64 x #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal -5000000000000000/5641895835477563 binary64))))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (*.f64 (*.f64 y x) (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 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))))
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)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x 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))))
Calls

3 calls:

7.0ms
z
4.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
4.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
91.6%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
91.6%3(exp.f64 z)
91.6%3z
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes15.0ms (0.1%)

Memory
0.4MiB live, 38.9MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) #s(approx (* (* y (* y x)) (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969))) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) #s(approx (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (*.f64 z (fma.f64 y (*.f64 x #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal -5000000000000000/5641895835477563 binary64))))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (*.f64 (*.f64 y x) (fma.f64 z #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 (fma.f64 z #s(literal 50000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))))
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)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
Calls

3 calls:

6.0ms
z
4.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
4.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
89.8%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
89.8%2(exp.f64 z)
89.8%2z
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes27.0ms (0.2%)

Memory
-16.8MiB live, 61.9MiB allocated
Counts
9 → 4
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) #s(approx (* (* y (* y x)) (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969))) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) #s(approx (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) #s(approx (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
Calls

6 calls:

8.0ms
x
4.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
4.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
3.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
76.6%3x
81.1%3y
86.8%4(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
75.5%2z
73.2%1(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
73.2%1(exp.f64 z)
Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes4.0ms (0%)

Memory
8.9MiB live, 8.9MiB allocated
Counts
6 → 4
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) #s(approx (* (* y (* y x)) (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969))) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) #s(approx (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) #s(approx (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
Calls

1 calls:

3.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Results
AccuracySegmentsBranch
86.8%4(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes3.0ms (0%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
5 → 4
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) #s(approx (* (* y (* y x)) (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969))) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) #s(approx (* (* y (* y x)) (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969))) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
Calls

1 calls:

2.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Results
AccuracySegmentsBranch
86.8%4(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes3.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 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)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
Calls

1 calls:

2.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Results
AccuracySegmentsBranch
84.8%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory
-8.7MiB live, 27.6MiB allocated
Accuracy

Total -9.4b remaining (-32.3%)

Threshold costs -9.4b (-32.3%)

Counts
3 → 1
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))
Calls

6 calls:

6.0ms
y
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
1.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
54.4%1(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
54.4%1(exp.f64 z)
54.4%1x
54.4%1z
54.4%1y
54.4%1(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 39 to 29 computations (25.6% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.792402314916552e+138
4.4790374496415935e+141
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000058
1.0000000000000233
0.0ms
0.0
0.9993624373285364
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9993624373285364
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9993624373285364
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9993624373285364
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9993624373285364
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch23.0ms (0.2%)

Memory
-2.9MiB live, 33.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
-18703752793397.223
-124456.95965691231
Samples
16.0ms144×0valid
Compiler

Compiled 261 to 169 computations (35.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
const: 6.0ms (50% of total)
ival-exp: 2.0ms (16.7% of total)
ival-mult: 2.0ms (16.7% of total)
ival-sub: 1.0ms (8.3% of total)
ival-div: 1.0ms (8.3% of total)
ival-add: 1.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Memory
2.3MiB live, 38.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.0304521120813544e-21
5.821064820890898e-15
1.0ms
-18703752793397.223
-124456.95965691231
Samples
14.0ms144×0valid
Compiler

Compiled 513 to 331 computations (35.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 2.0ms (26.1% of total)
const: 2.0ms (26.1% of total)
ival-sub: 1.0ms (13% of total)
ival-div: 1.0ms (13% of total)
ival-exp: 1.0ms (13% of total)
ival-add: 1.0ms (13% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-18703752793397.223
-124456.95965691231
Compiler

Compiled 234 to 160 computations (31.6% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0155418126548824e-7
5.725548875238024
0.0ms
-1.276855055575906e-157
-1.104350247017433e-162
0.0ms
-15.96392378615446
-0.39273547970404865
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0155418126548824e-7
5.725548875238024
0.0ms
-1.104350247017433e-162
-2.8051688096349913e-180
0.0ms
-15.96392378615446
-0.39273547970404865
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0155418126548824e-7
5.725548875238024
0.0ms
-1.104350247017433e-162
-2.8051688096349913e-180
0.0ms
-15.96392378615446
-0.39273547970404865
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0155418126548824e-7
5.725548875238024
0.0ms
-15.96392378615446
-0.39273547970404865
Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify28.0ms (0.2%)

Memory
0.1MiB live, 52.4MiB allocated
Algorithm
egg-herbie
Rules
54×+-commutative_binary64
38×*-commutative_binary64
36×cancel-sign-sub-inv_binary64
26×sub-neg_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01861241
12381241
22661241
32731241
42771241
52781241
Stop Event
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 10000000000000000328415624892049260789870125663596116955123134262587470068987879955440013156277274126839495047843224355786484906342114918400 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 2251799813685293/2251799813685248 binary64)) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 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 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #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))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #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))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #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))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))
(if (<=.f64 z #s(literal -125000 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 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))
(if (<=.f64 z #s(literal -125000 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 7352373481323731/1267650600228229401496703205376 binary64)) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x 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))))))
(if (<=.f64 z #s(literal -125000 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)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -10 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 -6183260036827613/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563)) (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64))))))) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 944473296573929/2361183241434822606848 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) #s(approx (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 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 -10 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 -8104522595470689/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)))))) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 944473296573929/2361183241434822606848 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) (*.f64 (*.f64 y (*.f64 y x)) #s(approx (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 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 -10 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 -8104522595470689/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)))))) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 944473296573929/2361183241434822606848 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) #s(approx (* y (+ (* y (+ (* x 25000000000000000000000000000000/31830988618379068626528276418969) (* -50000000000000000000000000000000/31830988618379068626528276418969 (* z x)))) (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563))) #s(approx (* (* y (* y x)) (neg (+ (* z 50000000000000000000000000000000/31830988618379068626528276418969) -25000000000000000000000000000000/31830988618379068626528276418969))) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 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 -10 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 944473296573929/2361183241434822606848 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)))))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))
Outputs
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(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (+ (* (* y -5641895835477563/5000000000000000) (/ z (* (+ (* y (neg x)) 5641895835477563/5000000000000000) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) (*.f64 y #s(approx (+ (* z -5000000000000000/5641895835477563) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64))))))

soundness1.8s (15.6%)

Memory
-13.7MiB live, 1 065.1MiB allocated
Rules
10 660×lower-fma.f64
10 660×lower-fma.f32
8 530×lower-fma.f64
8 530×lower-fma.f32
8 400×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080214376
1248714006
2753313908
0813713098
078812933
1246312602
2762612548
0817311766
03031957
18651937
225631849
082061764
083111723
1254611524
2776411470
0813510879
042354
071334
1332334
22705334
08824334
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 017 to 421 computations (58.6% saved)

preprocess119.0ms (1%)

Memory
-10.3MiB live, 223.7MiB allocated
Compiler

Compiled 1 230 to 272 computations (77.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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