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

Time bar (total: 9.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze114.0ms (1.2%)

Memory
14.3MiB live, 170.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
31.3%31.2%68.6%0.1%0%0%0%5
43.8%43.7%56.2%0.1%0%0%0%6
53.1%53%46.8%0.1%0%0%0%7
59.4%59.3%40.6%0.1%0%0%0%8
68%67.9%32%0.1%0%0%0%9
73.6%73.5%26.3%0.1%0%0%0%10
78.2%78.1%21.7%0.1%0%0%0%11
83.3%83.1%16.7%0.1%0%0%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample1.9s (20.1%)

Memory
-9.7MiB live, 1 115.1MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 778.0ms
ival-sub: 246.0ms (31.6% of total)
ival-exp: 173.0ms (22.2% of total)
const: 157.0ms (20.2% of total)
ival-mult: 101.0ms (13% of total)
ival-div: 55.0ms (7.1% of total)
ival-add: 36.0ms (4.6% of total)
ival-true: 7.0ms (0.9% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

explain482.0ms (5.1%)

Memory
15.8MiB live, 219.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
330-1(1.490926973266205e-229 -1.5500313732807428e-92 -3.003177881377499e+104)(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
40-0-(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
00-0-#s(literal 5641895835477563/5000000000000000 binary64)
00-0-(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
00-0-z
00-0-(*.f64 x y)
00-0-(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
00-0-y
00-0-x
00-0-(exp.f64 z)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))n/u90
↳(exp.f64 z)underflow75
↳(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))underflow75
↳(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))underflow9
↳(*.f64 x y)underflow30
-.f64(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))nan-rescue40
↳(exp.f64 z)overflow50
↳(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))overflow50
↳(*.f64 x y)overflow32
Confusion
Predicted +Predicted -
+131
-0242
Precision
1.0
Recall
0.9285714285714286
Confusion?
Predicted +Predicted MaybePredicted -
+1301
-00242
Precision?
1.0
Recall?
0.9285714285714286
Freqs
test
numberfreq
0243
113
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
272.0ms512×0valid
Compiler

Compiled 102 to 34 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 23.0ms (52.7% of total)
const: 8.0ms (18.3% of total)
ival-exp: 4.0ms (9.2% of total)
ival-div: 3.0ms (6.9% of total)
ival-sub: 2.0ms (4.6% of total)
ival-add: 2.0ms (4.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess140.0ms (1.5%)

Memory
-21.8MiB live, 68.7MiB allocated
Algorithm
1×egg-herbie
Rules
304×lower-fma.f64
304×lower-fma.f32
256×distribute-lft-neg-in
240×sub-neg
214×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 12 to 10 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶94.6%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify20.0ms (0.2%)

Memory
18.6MiB live, 18.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize32.0ms (0.3%)

Memory
-5.2MiB live, 33.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 z)
accuracy0.00390625
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
accuracy0.7968750000000001
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
accuracy7.867968769820413
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
Samples
24.0ms256×0valid
Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
const: 4.0ms (30.5% of total)
ival-mult: 3.0ms (22.9% of total)
ival-div: 2.0ms (15.2% of total)
ival-exp: 2.0ms (15.2% of total)
ival-sub: 1.0ms (7.6% of total)
ival-add: 1.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series36.0ms (0.4%)

Memory
-10.2MiB live, 27.8MiB allocated
Counts
5 → 132
Calls
Call 1
Inputs
#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #<representation binary64>) () ())
#s(alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (patch (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (patch (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #<representation binary64>) () ())
#s(alt (exp.f64 z) (patch (exp.f64 z) #<representation binary64>) () ())
Outputs
#s(alt (+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ y (- 5641895835477563/5000000000000000 (* x y))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (patch (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (patch (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (patch (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (patch (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- 5641895835477563/5000000000000000 (* x y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 5641895835477563/5000000000000000 (taylor 0 z) (#s(alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (patch (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (taylor 0 z) (#s(alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (patch (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (taylor 0 z) (#s(alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (patch (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (taylor 0 z) (#s(alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (patch (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (exp.f64 z) (patch (exp.f64 z) #<representation binary64>) () ())) ())
#s(alt (+ 1 z) (taylor 0 z) (#s(alt (exp.f64 z) (patch (exp.f64 z) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (+ 1 (* 1/2 z)))) (taylor 0 z) (#s(alt (exp.f64 z) (patch (exp.f64 z) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (taylor 0 z) (#s(alt (exp.f64 z) (patch (exp.f64 z) #<representation binary64>) () ())) ())
#s(alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (taylor inf z) (#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
21.0ms
y
@-inf
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (exp z))
2.0ms
y
@inf
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (exp z))
2.0ms
z
@0
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (exp z))
1.0ms
z
@inf
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (exp z))
1.0ms
x
@-inf
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (exp z))

simplify167.0ms (1.8%)

Memory
-5.3MiB live, 231.0MiB allocated
Algorithm
1×egg-herbie
Rules
8 782×lower-fma.f64
8 782×lower-fma.f32
5 312×lower-*.f64
5 312×lower-*.f32
2 906×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03161995
19041975
226471891
083231801
Stop Event
1×iter limit
1×node limit
Counts
132 → 129
Calls
Call 1
Inputs
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(/ y (- 5641895835477563/5000000000000000 (* x y)))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(- 5641895835477563/5000000000000000 (* x y))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
1
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(exp z)
(exp z)
(exp z)
(exp z)
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(exp z)
(exp z)
(exp z)
(exp z)
x
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(* y (+ (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(- x (/ 1 x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(/ -1 x)
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))
(- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(* -1 (* x y))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(- x (/ 1 x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))
(/ -1 x)
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))
(- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))
(* -1 (* x y))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(/ -1 x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
(* -1 (* x y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (* x y))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
Outputs
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) x)
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(fma.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64)) z (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) x))
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x
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rewrite201.0ms (2.1%)

Memory
1.6MiB live, 192.3MiB allocated
Rules
5 764×lower-fma.f64
5 764×lower-fma.f32
4 434×lower-*.f32
4 430×lower-*.f64
3 236×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
01636
15736
245136
3744436
0811835
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 271
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(exp.f64 z)
Outputs
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eval113.0ms (1.2%)

Memory
-0.8MiB live, 127.4MiB allocated
Compiler

Compiled 12 335 to 1 208 computations (90.2% saved)

prune53.0ms (0.6%)

Memory
5.4MiB live, 44.8MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New38911400
Fresh000
Picked101
Done000
Total39011401
Accuracy
100.0%
Counts
401 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶79.2%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
79.1%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
79.2%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
78.9%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
▶79.9%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
▶96.3%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))))
▶64.4%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
▶68.1%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
59.4%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
16.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
59.2%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
Compiler

Compiled 260 to 220 computations (15.4% saved)

simplify154.0ms (1.6%)

Memory
30.1MiB live, 141.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))))
cost-diff0
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))
cost-diff0
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))
cost-diff128
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
cost-diff0
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
cost-diff0
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
cost-diff0
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
cost-diff0
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
cost-diff0
(*.f64 (neg.f64 y) x)
cost-diff0
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))
cost-diff0
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))
cost-diff0
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))
cost-diff0
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
cost-diff0
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))
cost-diff0
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))
cost-diff0
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))))
cost-diff704
(*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)
Rules
4 224×lower-fma.f32
4 218×lower-fma.f64
3 036×lower-*.f32
3 024×lower-*.f64
1 718×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042358
071358
1111358
2150358
3244358
4384350
5585350
61022350
72585350
84250350
95773350
106907350
117440350
127762350
137890350
08025349
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))))
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))
(*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)
(-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y)
(*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64))
(/.f64 (exp.f64 z) x)
(exp.f64 z)
z
#s(literal 5641895835477563/5000000000000000 binary64)
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
z
#s(literal 5641895835477563/5000000000000000 binary64)
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
(*.f64 y x)
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
x
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))
y
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))))
#s(literal 5641895835477563/5000000000000000 binary64)
#s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))
#s(literal 1/2 binary64)
z
#s(literal 1 binary64)
(*.f64 x y)
Outputs
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))))
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (neg.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))) x)
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (neg.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (neg.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))
(*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)
(neg.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))
(-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y)
(*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64))
(/.f64 (exp.f64 z) x)
(exp.f64 z)
z
#s(literal 5641895835477563/5000000000000000 binary64)
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x)
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))) x)
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))) x)
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))
z
#s(literal 5641895835477563/5000000000000000 binary64)
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
(fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 y x)
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))) (*.f64 y x))))
x
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))
(/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))) (*.f64 y x)))
y
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))
(fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 y) x))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))))
(*.f64 #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
#s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))
#s(literal 1/2 binary64)
z
#s(literal 1 binary64)
(*.f64 x y)
(*.f64 y x)

localize134.0ms (1.4%)

Memory
-11.4MiB live, 227.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
accuracy0.7968750000000001
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))
accuracy7.867968769820413
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))
accuracy25.260896075311127
#s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))
accuracy0.00390625
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
accuracy0.10546875
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
accuracy7.867968769820413
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
accuracy24.656598839855043
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
accuracy0
(neg.f64 y)
accuracy0.00390625
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
accuracy7.867968769820413
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))
accuracy27.440069889201872
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) 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)))
accuracy28.46593771028262
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))
accuracy0.00390625
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))))
accuracy0.03515625
(*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)
accuracy0.140625
(*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64))
accuracy7.867968769820413
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))
Samples
81.0ms256×0valid
Compiler

Compiled 241 to 30 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-div: 26.0ms (42.7% of total)
ival-mult: 16.0ms (26.3% of total)
ival-add: 7.0ms (11.5% of total)
const: 4.0ms (6.6% of total)
ival-sub: 3.0ms (4.9% of total)
ival-exp: 2.0ms (3.3% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series62.0ms (0.7%)

Memory
-0.0MiB live, 147.3MiB allocated
Counts
22 → 672
Calls
Call 1
Inputs
#s(alt (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) (patch (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))) #<representation binary64>) () ())
#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))) #<representation binary64>) () ())
#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (patch (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) (patch #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) #<representation binary64>) () ())
#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())
#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) #<representation binary64>) () ())
#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) #<representation binary64>) () ())
#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #<representation binary64>) () ())
#s(alt (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (patch (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) #<representation binary64>) () ())
#s(alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))) (patch (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (patch (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))) (patch #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) (patch (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 5641895835477563/5000000000000000 z) (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))) (taylor 0 z) (#s(alt (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) (patch (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (taylor 0 z) (#s(alt (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) (patch (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (taylor 0 z) (#s(alt (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) (patch (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))) #<representation binary64>) () ())) ())
#s(alt (/ y (- 5641895835477563/5000000000000000 (* x y))) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))) #<representation binary64>) () ())) ())
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#s(alt (* 5641895835477563/5000000000000000 (/ (exp z) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5641895835477563/5000000000000000 (/ (exp z) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
7.0ms
z
@-inf
((* (- (* (/ (exp z) x) 5641895835477563/5000000000000000) y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (* (/ (exp z) x) 5641895835477563/5000000000000000) (neg y) (exp z))
4.0ms
x
@-inf
((* (- (* (/ (exp z) x) 5641895835477563/5000000000000000) y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (* (/ (exp z) x) 5641895835477563/5000000000000000) (neg y) (exp z))
2.0ms
z
@0
((* (- (* (/ (exp z) x) 5641895835477563/5000000000000000) y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (* (/ (exp z) x) 5641895835477563/5000000000000000) (neg y) (exp z))
2.0ms
x
@inf
((* (- (* (/ (exp z) x) 5641895835477563/5000000000000000) y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (* (/ (exp z) x) 5641895835477563/5000000000000000) (neg y) (exp z))
2.0ms
z
@inf
((* (- (* (/ (exp z) x) 5641895835477563/5000000000000000) y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (* (/ (exp z) x) 5641895835477563/5000000000000000) (neg y) (exp z))

simplify282.0ms (3%)

Memory
-2.9MiB live, 375.3MiB allocated
Algorithm
1×egg-herbie
Rules
8 506×lower-fma.f64
8 506×lower-fma.f32
4 792×lower-*.f64
4 792×lower-*.f32
3 624×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037910237
1111010134
232069693
083659277
Stop Event
1×iter limit
1×node limit
Counts
672 → 657
Calls
Call 1
Inputs
(* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))
(+ (* 5641895835477563/5000000000000000 z) (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)))
(+ (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
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(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
(* -1 (* x y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(/ -1 x)
(/ (- (* -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 x)
(/ -1 x)
(/ -1 x)
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(/ -1 x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
(* -1 (* x y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(/ -1 x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
(* -1 (* x y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* -1 (* x y))
(* x (- (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x))) y))
(* x (- (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x))) y))
(* x (- (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x))) y))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(/ -1 x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
(* -1 (* x y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* -1 (* x y))
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))))
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))))
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (* x y))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (* x y))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (* x y))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)) (* -1 y))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (* x y))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
Outputs
(* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))
(*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) x)
(+ (* 5641895835477563/5000000000000000 z) (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) x))
(+ (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) x))
(+ (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) x))
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) x)
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(fma.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 z (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) 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 (fma.f64 (neg.f64 z) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) x))
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) z (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))) z (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) x))
(/ y (- 5641895835477563/5000000000000000 (* x y)))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(fma.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 z (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
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rewrite235.0ms (2.5%)

Memory
-8.5MiB live, 346.6MiB allocated
Rules
5 414×lower-fma.f32
5 408×lower-fma.f64
5 186×lower-/.f32
5 174×lower-/.f64
4 854×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042304
071304
1292304
22182304
09663304
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 406
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))))
(*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64))
(neg.f64 y)
#s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))
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eval197.0ms (2.1%)

Memory
44.1MiB live, 374.3MiB allocated
Compiler

Compiled 23 001 to 1 877 computations (91.8% saved)

prune50.0ms (0.5%)

Memory
9.9MiB live, 132.0MiB allocated
Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New1 05491 063
Fresh156
Picked145
Done000
Total1 056181 074
Accuracy
100.0%
Counts
1 074 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶79.9%
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))) x)
✓79.2%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
79.1%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
79.2%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
78.9%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
✓79.9%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
48.9%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))))
✓96.3%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))))
▶83.3%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))))
83.3%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))))
▶78.9%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))))
65.9%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))
▶81.8%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)))))
▶43.7%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))))
80.0%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
✓68.1%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
59.4%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
16.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
Compiler

Compiled 456 to 363 computations (20.4% saved)

simplify165.0ms (1.8%)

Memory
-26.2MiB live, 224.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))))
cost-diff320
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))) x)
cost-diff576
(/.f64 y #s(literal -1 binary64))
cost-diff0
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)))
cost-diff0
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x))))
cost-diff0
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)))))
cost-diff704
(*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)
cost-diff0
(*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x)
cost-diff0
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))
cost-diff0
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x)))
cost-diff0
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))))
cost-diff0
#s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff0
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
cost-diff0
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))
cost-diff0
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))))
cost-diff0
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))
cost-diff0
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x)))
cost-diff0
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))))
cost-diff704
(fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
Rules
6 126×lower-fma.f32
6 112×lower-fma.f64
2 762×lower-*.f32
2 754×lower-*.f64
1 480×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054669
088664
1149664
2248663
3423661
4731647
51519647
63006647
75243647
08069633
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))))
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x)))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))
(*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x)
(-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y)
#s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(/.f64 z x)
z
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
#s(literal 5641895835477563/10000000000000000 binary64)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
#s(literal 5641895835477563/5000000000000000 binary64)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))))
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))
z
#s(literal 5641895835477563/5000000000000000 binary64)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))))
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x)))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))
(*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x)
(-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y)
#s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
#s(literal 5641895835477563/5000000000000000 binary64)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)))))
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x))))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)))
#s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x))
(*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)
(-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)
(/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
z
#s(literal 5641895835477563/5000000000000000 binary64)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))) x)
(/.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))
#s(literal 5641895835477563/5000000000000000 binary64)
z
(fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))
(neg.f64 y)
x
Outputs
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))))
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 z x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))) x)
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x)))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 z x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x)))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 z x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))
(*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x)
(*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 z x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x)
(-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y)
(-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 z x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y)
#s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
#s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 z x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 z x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(fma.f64 (/.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) x) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(/.f64 z x)
z
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
#s(literal 5641895835477563/10000000000000000 binary64)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
#s(literal 5641895835477563/5000000000000000 binary64)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))) x)
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))
z
#s(literal 5641895835477563/5000000000000000 binary64)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))))
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))) x)
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x)))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))
(*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x)
(-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y)
#s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
#s(literal 5641895835477563/5000000000000000 binary64)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)))))
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (neg.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))))) x)
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x))))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (neg.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (neg.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))))
#s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x))
#s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (neg.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
(*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)
(neg.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)
(/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
z
#s(literal 5641895835477563/5000000000000000 binary64)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))) x)
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (neg.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))) x)
(/.f64 y #s(literal -1 binary64))
(neg.f64 y)
y
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))))
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#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (neg.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))
(neg.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
#s(literal 5641895835477563/5000000000000000 binary64)
z
(fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))
(neg.f64 y)
x

localize181.0ms (1.9%)

Memory
10.1MiB live, 248.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.10546875
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy0.9426176915285186
(/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))))
accuracy2.4400517105412374
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))) x)
accuracy24.656598839855043
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))
accuracy0.27734375
(/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x)
accuracy7.867968769820413
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x))))
accuracy8.279564246654774
(*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)
accuracy24.656598839855043
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)))
accuracy0.03515625
(*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x)
accuracy0.2421875
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
accuracy7.867968769820413
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x)))
accuracy30.52891724173292
#s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
accuracy0.3046875
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))
accuracy7.867968769820413
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))
accuracy24.656598839855043
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
accuracy40.873002582558385
#s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy0.109375
(fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
accuracy0.2421875
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
accuracy7.867968769820413
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x)))
accuracy22.3623463670125
#s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
Samples
100.0ms256×0valid
Compiler

Compiled 346 to 44 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 29.0ms (42.5% of total)
const: 12.0ms (17.6% of total)
ival-div: 11.0ms (16.1% of total)
ival-add: 9.0ms (13.2% of total)
ival-sub: 4.0ms (5.9% of total)
ival-exp: 2.0ms (2.9% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series97.0ms (1%)

Memory
-0.9MiB live, 189.4MiB allocated
Counts
27 → 840
Calls
Call 1
Inputs
#s(alt (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (patch (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x)))) #<representation binary64>) () ())
#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))) #<representation binary64>) () ())
#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x)) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x)) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (patch #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x)))) #<representation binary64>) () ())
#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))) #<representation binary64>) () ())
#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x)) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x) (patch (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x) (patch (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x))))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x))))) #<representation binary64>) () ())
#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x))) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x))) #<representation binary64>) () ())
#s(alt (/.f64 y #s(literal -1 binary64)) (patch (/.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))) x) (patch (fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))) #<representation binary64>) () ())
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#s(alt #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) (patch #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (patch (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (patch (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) #<representation binary64>) () ())
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#s(alt (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (patch (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))) (patch (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (/ 5641895835477563/5000000000000000 x) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (patch (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (patch (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (+ (* 5641895835477563/10000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (patch (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z x)) (* 5641895835477563/10000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (patch (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x)))) #<representation binary64>) () ())) ())
#s(alt (/ y (- 5641895835477563/5000000000000000 (* x y))) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))) #<representation binary64>) () ())) ())
#s(alt (- 5641895835477563/5000000000000000 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x)) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
8.0ms
z
@inf
((+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (- (* (/ (exp z) x) 5641895835477563/5000000000000000) y) x) (* (- (/ (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) x) y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y -1) (+ (* (/ y -1) (/ -1 (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) x) (/ -1 (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (/ (exp z) x) 5641895835477563/5000000000000000) (/ 5641895835477563/5000000000000000 x) (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) (* z 5641895835477563/5000000000000000) (* (/ (exp z) x) 5641895835477563/5000000000000000) (/ (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) x) (+ (* 5641895835477563/5000000000000000 z) (+ (* (neg y) x) 5641895835477563/5000000000000000)))
7.0ms
x
@inf
((+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (- (* (/ (exp z) x) 5641895835477563/5000000000000000) y) x) (* (- (/ (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) x) y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y -1) (+ (* (/ y -1) (/ -1 (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) x) (/ -1 (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (/ (exp z) x) 5641895835477563/5000000000000000) (/ 5641895835477563/5000000000000000 x) (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) (* z 5641895835477563/5000000000000000) (* (/ (exp z) x) 5641895835477563/5000000000000000) (/ (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) x) (+ (* 5641895835477563/5000000000000000 z) (+ (* (neg y) x) 5641895835477563/5000000000000000)))
4.0ms
x
@-inf
((+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (- (* (/ (exp z) x) 5641895835477563/5000000000000000) y) x) (* (- (/ (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) x) y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y -1) (+ (* (/ y -1) (/ -1 (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) x) (/ -1 (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (/ (exp z) x) 5641895835477563/5000000000000000) (/ 5641895835477563/5000000000000000 x) (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) (* z 5641895835477563/5000000000000000) (* (/ (exp z) x) 5641895835477563/5000000000000000) (/ (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) x) (+ (* 5641895835477563/5000000000000000 z) (+ (* (neg y) x) 5641895835477563/5000000000000000)))
4.0ms
x
@0
((+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (- (* (/ (exp z) x) 5641895835477563/5000000000000000) y) x) (* (- (/ (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) x) y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y -1) (+ (* (/ y -1) (/ -1 (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) x) (/ -1 (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (/ (exp z) x) 5641895835477563/5000000000000000) (/ 5641895835477563/5000000000000000 x) (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) (* z 5641895835477563/5000000000000000) (* (/ (exp z) x) 5641895835477563/5000000000000000) (/ (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) x) (+ (* 5641895835477563/5000000000000000 z) (+ (* (neg y) x) 5641895835477563/5000000000000000)))
4.0ms
z
@-inf
((+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (- (* (/ (exp z) x) 5641895835477563/5000000000000000) y) x) (* (- (/ (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) x) y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y -1) (+ (* (/ y -1) (/ -1 (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) x) (/ -1 (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (/ (exp z) x) 5641895835477563/5000000000000000) (/ 5641895835477563/5000000000000000 x) (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) (* z 5641895835477563/5000000000000000) (* (/ (exp z) x) 5641895835477563/5000000000000000) (/ (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) x) (+ (* 5641895835477563/5000000000000000 z) (+ (* (neg y) x) 5641895835477563/5000000000000000)))

simplify305.0ms (3.2%)

Memory
14.7MiB live, 258.5MiB allocated
Algorithm
1×egg-herbie
Rules
6 152×lower-fma.f64
6 152×lower-fma.f32
5 826×lower-*.f64
5 826×lower-*.f32
2 092×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058112207
1179412012
2527611743
0811311158
Stop Event
1×iter limit
1×node limit
Counts
840 → 825
Calls
Call 1
Inputs
(/ 5641895835477563/5000000000000000 x)
(+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))
(+ (* z (+ (* 5641895835477563/10000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))
(+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z x)) (* 5641895835477563/10000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 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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(/ y (- 5641895835477563/5000000000000000 (* x y)))
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(/ y (- 5641895835477563/5000000000000000 (* x y)))
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(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
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(/ y (- 5641895835477563/5000000000000000 (* x y)))
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(- 5641895835477563/5000000000000000 (* x y))
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(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))
(* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))
(+ (* 5641895835477563/5000000000000000 z) (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)))
(+ (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
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(* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))
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x
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(/ 5641895835477563/5000000000000000 x)
(/ 5641895835477563/5000000000000000 x)
(/ 5641895835477563/5000000000000000 x)
(/ 5641895835477563/5000000000000000 x)
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(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
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Outputs
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))
(fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(+ (* z (+ (* 5641895835477563/10000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))
(fma.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) x) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z x)) (* 5641895835477563/10000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z x) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
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(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x)
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x)
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x)
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)))))
(*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)))))
(*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)))))
(*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x x)
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(fma.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 #s(literal -1 binary64) (*.f64 x 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 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(/.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 z) y) x) #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) x)) (neg.f64 x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) x) (/.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y y))) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64))) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x)
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x)
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x)
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x x)
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(fma.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 #s(literal -1 binary64) (*.f64 x 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 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x) x)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(* -1 (/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y)) x))
(/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 z) y) x) #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -1 binary64)) x) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 3)))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow y 2)))) x)) (/ 1 y)) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (/.f64 (exp.f64 z) y) y) #s(literal 5641895835477563/5000000000000000 binary64))) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 4)))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 3)))) x)) (* -5641895835477563/5000000000000000 (/ (exp z) (pow y 2)))) x)) (/ 1 y)) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 z) y) y) #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) x) (/.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x))) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x)
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x)
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64))
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(* -1 (/ (- (* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 5641895835477563/5000000000000000) x))
(/.f64 (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z)) (neg.f64 x))
(* -1 (/ (- (* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 5641895835477563/5000000000000000) x))
(/.f64 (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z)) (neg.f64 x))
(* -1 (/ (- (* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 5641895835477563/5000000000000000) x))
(/.f64 (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z)) (neg.f64 x))
(* -1 (/ (- (* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 5641895835477563/5000000000000000) x))
(/.f64 (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z)) (neg.f64 x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64))
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)))))
(*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)))))
(*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)))))
(*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)

rewrite207.0ms (2.2%)

Memory
-16.1MiB live, 300.1MiB allocated
Rules
4 344×lower-/.f32
4 326×lower-/.f64
3 530×lower-*.f32
3 522×lower-*.f64
3 236×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054534
088527
1412525
23354525
08460524
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 483
Calls
Call 1
Inputs
(fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x)))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x)))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))
(*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x)
(*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)))))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x))))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)))
(/.f64 y #s(literal -1 binary64))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))) x)
(/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))
#s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))
Outputs
#<batchref>
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eval338.0ms (3.6%)

Memory
20.5MiB live, 379.2MiB allocated
Compiler

Compiled 31 808 to 3 381 computations (89.4% saved)

prune55.0ms (0.6%)

Memory
-11.0MiB live, 147.9MiB allocated
Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New1 356101 366
Fresh369
Picked325
Done134
Total1 363211 384
Accuracy
100.0%
Counts
1 384 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.2%
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) x)
79.9%
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (neg.f64 x) y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))) (neg.f64 y) x)
✓79.2%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
▶79.1%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
▶79.2%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
78.9%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
✓79.9%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
48.9%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))))
▶83.3%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))) y) x))))
63.3%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) x (*.f64 x #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))))
✓78.9%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))))
78.8%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64)))) y) x))))
▶83.3%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))))
▶65.9%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))
✓43.7%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))))
67.8%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (- (/ (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) x) y) x) (fma.f64 (*.f64 x (/.f64 z x)) #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))))
80.0%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
43.7%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y)))
✓68.1%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
59.4%
#s(approx (+ (* (/ y -1) (/ -1 (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) x) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
16.9%
#s(approx (+ (* (/ y -1) (/ -1 (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) x) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
Compiler

Compiled 579 to 463 computations (20% saved)

simplify180.0ms (1.9%)

Memory
27.2MiB live, 208.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))) y) x))))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64)))
cost-diff704
(fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
cost-diff704
(fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))
cost-diff0
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
cost-diff0
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
cost-diff0
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
cost-diff0
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
cost-diff0
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
cost-diff0
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
cost-diff0
#s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff0
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))
cost-diff0
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
cost-diff0
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))
cost-diff0
(*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)
cost-diff0
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))
cost-diff0
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)))
cost-diff0
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))))
Rules
9 682×lower-fma.f32
9 666×lower-fma.f64
2 836×lower-*.f32
2 828×lower-*.f64
1 460×lower-/.f32
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
065888
0100876
1164857
2259857
3452857
4742844
51231844
61751829
73053803
85485803
97176803
107781803
08011803
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))))
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))
(*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)
(-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y)
#s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x)))
#s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
z
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (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 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/10000000000000000 binary64)
z
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
z
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))) y) x))))
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))) y) x)))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))) y) x))
(*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))) y) x)
(-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))) y)
#s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64)))))
(fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))
(fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(/.f64 z x)
z
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
#s(literal 5641895835477563/10000000000000000 binary64)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
#s(literal 5641895835477563/5000000000000000 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64)))
#s(literal 1 binary64)
(*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))
#s(literal 5000000000000000/5641895835477563 binary64)
Outputs
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))))
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))) x)
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))
(*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)
(-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y)
#s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x)))
#s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
z
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) x)
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (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 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(-.f64 x (/.f64 y (-.f64 (*.f64 y x) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/10000000000000000 binary64)
z
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(*.f64 y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(-.f64 x (/.f64 y (-.f64 (*.f64 y x) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
z
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(*.f64 y x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))) y) x))))
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x)) y) x))) x)
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))) y) x)))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x)) y) x)))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))) y) x))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x)) y) x))
(*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))) y) x)
(*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x)) y) x)
(-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))) y)
(-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x)) y)
#s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))
(fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x)
(fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(/.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/.f64 z x)
z
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
#s(literal 5641895835477563/10000000000000000 binary64)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
#s(literal 5641895835477563/5000000000000000 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
#s(literal 1 binary64)
(*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) x)
#s(literal 5000000000000000/5641895835477563 binary64)

localize203.0ms (2.2%)

Memory
-34.2MiB live, 309.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.30078125
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64)))
accuracy0.35546875
(*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))
accuracy7.867968769820413
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))) y) x)))
accuracy22.3623463670125
#s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64)))))
accuracy0.08203125
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
accuracy0.7968750000000001
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
accuracy7.867968769820413
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
accuracy22.36663934761049
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy0.16015625
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
accuracy0.7968750000000001
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
accuracy7.867968769820413
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
accuracy25.26209552041322
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy0.16015625
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
accuracy7.867968769820413
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
accuracy24.45070630600076
#s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy24.656598839855043
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))
accuracy0.08203125
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
accuracy2.5050431756037574
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x)
accuracy7.867968769820413
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)))
accuracy22.3623463670125
#s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x)))
Samples
113.0ms256×0valid
Compiler

Compiled 412 to 45 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
const: 35.0ms (40.3% of total)
ival-mult: 22.0ms (25.4% of total)
ival-add: 14.0ms (16.1% of total)
ival-div: 10.0ms (11.5% of total)
ival-sub: 3.0ms (3.5% of total)
ival-exp: 2.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series84.0ms (0.9%)

Memory
-5.5MiB live, 151.7MiB allocated
Counts
28 → 780
Calls
Call 1
Inputs
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#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ())
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#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))) y) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))) y) x)))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) (patch #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x) #<representation binary64>) () ())
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#s(alt (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64)) (patch (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)))) #<representation binary64>) () ())) ())
#s(alt (/ y (- 5641895835477563/5000000000000000 (* x y))) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))) #<representation binary64>) () ())) ())
#s(alt (- 5641895835477563/5000000000000000 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
8.0ms
x
@0
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (- (* (/ (exp z) x) 5641895835477563/5000000000000000) y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 1 (* x 5000000000000000/5641895835477563))) (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) (/ 1 (* x 5000000000000000/5641895835477563)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ (exp z) x) 5641895835477563/5000000000000000) (/ (+ (* (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) z) 5641895835477563/5000000000000000) x) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (* (/ (exp z) x) 5641895835477563/5000000000000000) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (* x 5000000000000000/5641895835477563))
3.0ms
y
@inf
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (- (* (/ (exp z) x) 5641895835477563/5000000000000000) y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 1 (* x 5000000000000000/5641895835477563))) (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) (/ 1 (* x 5000000000000000/5641895835477563)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ (exp z) x) 5641895835477563/5000000000000000) (/ (+ (* (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) z) 5641895835477563/5000000000000000) x) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (* (/ (exp z) x) 5641895835477563/5000000000000000) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (* x 5000000000000000/5641895835477563))
3.0ms
x
@-inf
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (- (* (/ (exp z) x) 5641895835477563/5000000000000000) y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 1 (* x 5000000000000000/5641895835477563))) (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) (/ 1 (* x 5000000000000000/5641895835477563)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ (exp z) x) 5641895835477563/5000000000000000) (/ (+ (* (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) z) 5641895835477563/5000000000000000) x) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (* (/ (exp z) x) 5641895835477563/5000000000000000) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (* x 5000000000000000/5641895835477563))
2.0ms
x
@inf
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (- (* (/ (exp z) x) 5641895835477563/5000000000000000) y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 1 (* x 5000000000000000/5641895835477563))) (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) (/ 1 (* x 5000000000000000/5641895835477563)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ (exp z) x) 5641895835477563/5000000000000000) (/ (+ (* (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) z) 5641895835477563/5000000000000000) x) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (* (/ (exp z) x) 5641895835477563/5000000000000000) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (* x 5000000000000000/5641895835477563))
2.0ms
z
@inf
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (- (* (/ (exp z) x) 5641895835477563/5000000000000000) y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 1 (* x 5000000000000000/5641895835477563))) (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) (/ 1 (* x 5000000000000000/5641895835477563)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ (exp z) x) 5641895835477563/5000000000000000) (/ (+ (* (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) z) 5641895835477563/5000000000000000) x) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (* (/ (exp z) x) 5641895835477563/5000000000000000) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (* x 5000000000000000/5641895835477563))

simplify319.0ms (3.4%)

Memory
17.7MiB live, 260.1MiB allocated
Algorithm
1×egg-herbie
Rules
10 586×lower-fma.f64
10 586×lower-fma.f32
5 128×lower-*.f64
5 128×lower-*.f32
4 242×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043211625
1129811522
2381011033
0822510465
Stop Event
1×iter limit
1×node limit
Counts
780 → 765
Calls
Call 1
Inputs
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(/ y (- 5641895835477563/5000000000000000 (* x y)))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
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(- 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))
(* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))
(+ (* 5641895835477563/5000000000000000 z) (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)))
(+ (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(/ y (- 5641895835477563/5000000000000000 (* x y)))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(- 5641895835477563/5000000000000000 (* x y))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))
(- 5641895835477563/5000000000000000 (* x y))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(/ y (- 5641895835477563/5000000000000000 (* x y)))
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(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(- 5641895835477563/5000000000000000 (* x y))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(/ y (- 5641895835477563/5000000000000000 (* x y)))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(- 5641895835477563/5000000000000000 (* x y))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(/ 5641895835477563/5000000000000000 x)
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(/ 5641895835477563/5000000000000000 x)
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(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
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(/ 5641895835477563/5000000000000000 x)
(+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))
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(/ 5641895835477563/5000000000000000 x)
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5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
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5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
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5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
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(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (* x y))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x y))
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))))
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))))
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (* x y))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)) (* -1 y))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (* x y))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (* x y))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (/ (- (* z (- (* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x))
(* -1 (/ (- (* z (- (* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x))
(* -1 (/ (- (* z (- (* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x))
(* -1 (/ (- (* z (- (* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x))
(* -1 (/ (- (* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 5641895835477563/5000000000000000) x))
(* -1 (/ (- (* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 5641895835477563/5000000000000000) x))
(* -1 (/ (- (* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 5641895835477563/5000000000000000) x))
(* -1 (/ (- (* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 5641895835477563/5000000000000000) x))
(/ 5641895835477563/5000000000000000 x)
(/ 5641895835477563/5000000000000000 x)
(/ 5641895835477563/5000000000000000 x)
(/ 5641895835477563/5000000000000000 x)
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) 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))
(* 5000000000000000/5641895835477563 x)
(* 5000000000000000/5641895835477563 x)
(* 5000000000000000/5641895835477563 x)
(* 5000000000000000/5641895835477563 x)
Outputs
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) x)
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(fma.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 z (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) 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 (fma.f64 (neg.f64 z) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) x))
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) z (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))) z (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) x))
(/ y (- 5641895835477563/5000000000000000 (* x y)))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(fma.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 z (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(fma.f64 (fma.f64 (neg.f64 z) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 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))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) z (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))) z (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(- 5641895835477563/5000000000000000 (* x y))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))
(*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) x)
(+ (* 5641895835477563/5000000000000000 z) (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)))
(fma.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) x (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
(+ (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(fma.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) x (*.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z))
(+ (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(fma.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) x (*.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z))
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) x)
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(fma.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 z (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) x))
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(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x)
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x x)
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(fma.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 #s(literal -1 binary64) (*.f64 x 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 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(/.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 z) y) x) #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) x) #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 (/.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) x) (/.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (*.f64 y y))) (neg.f64 x))) x) #s(literal -1 binary64)) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x)
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x)
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x)
(* -1 (/ (- (* z (- (* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x))
(/.f64 (fma.f64 (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z)) z #s(literal -5641895835477563/5000000000000000 binary64)) (neg.f64 x))
(* -1 (/ (- (* z (- (* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x))
(/.f64 (fma.f64 (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z)) z #s(literal -5641895835477563/5000000000000000 binary64)) (neg.f64 x))
(* -1 (/ (- (* z (- (* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x))
(/.f64 (fma.f64 (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z)) z #s(literal -5641895835477563/5000000000000000 binary64)) (neg.f64 x))
(* -1 (/ (- (* z (- (* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x))
(/.f64 (fma.f64 (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z)) z #s(literal -5641895835477563/5000000000000000 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 5641895835477563/5000000000000000) x))
(/.f64 (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z)) (neg.f64 x))
(* -1 (/ (- (* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 5641895835477563/5000000000000000) x))
(/.f64 (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z)) (neg.f64 x))
(* -1 (/ (- (* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 5641895835477563/5000000000000000) x))
(/.f64 (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z)) (neg.f64 x))
(* -1 (/ (- (* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 5641895835477563/5000000000000000) x))
(/.f64 (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z)) (neg.f64 x))
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x x)
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(fma.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 #s(literal -1 binary64) (*.f64 x 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 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x) x)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64))
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(/.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 z) y) x) #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) x) #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 (/.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) x) (/.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (*.f64 y y))) (neg.f64 x))) x) #s(literal -1 binary64)) x)
(* 5000000000000000/5641895835477563 x)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) x)
(* 5000000000000000/5641895835477563 x)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) x)
(* 5000000000000000/5641895835477563 x)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) x)
(* 5000000000000000/5641895835477563 x)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) x)

rewrite329.0ms (3.5%)

Memory
-4.0MiB live, 185.9MiB allocated
Rules
4 550×lower-/.f32
4 532×lower-/.f64
3 832×lower-*.f32
3 824×lower-*.f64
3 312×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065638
0100634
1455619
23770619
09128619
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
28 → 554
Calls
Call 1
Inputs
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))
(*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))
(fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))) y) x))))
#s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x)))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x)
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
#s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64)))))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))) y) x)))
(*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))
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eval350.0ms (3.7%)

Memory
14.4MiB live, 399.4MiB allocated
Compiler

Compiled 35 662 to 3 816 computations (89.3% saved)

prune342.0ms (3.6%)

Memory
-22.0MiB live, 144.6MiB allocated
Pruning

25 alts after pruning (18 fresh and 7 done)

PrunedKeptTotal
New1 34591 354
Fresh2911
Picked235
Done145
Total1 350251 375
Accuracy
100.0%
Counts
1 375 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.9%
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (neg.f64 x) y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))) (neg.f64 y) x)
✓79.1%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
✓79.2%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
79.0%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
79.1%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
78.9%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
✓79.9%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
48.9%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))))
63.3%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) x (*.f64 x #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))))
83.3%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 #s(approx (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))) y) x))))
✓78.9%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))))
78.8%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64)))) y) x))))
83.3%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))))
83.3%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) y) x))))
✓65.9%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))
✓43.7%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))))
58.2%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))))
67.8%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (- (/ (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) x) y) x) (fma.f64 (*.f64 x (/.f64 z x)) #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))))
81.8%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (* (- (* (/ (exp z) x) 5641895835477563/5000000000000000) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) x (*.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z))))))
81.8%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
66.0%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
43.7%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y)))
✓68.1%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
59.4%
#s(approx (+ (* (/ y -1) (/ -1 (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) x) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
16.9%
#s(approx (+ (* (/ y -1) (/ -1 (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) x) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
Compiler

Compiled 1 011 to 563 computations (44.3% saved)

regimes80.0ms (0.8%)

Memory
9.5MiB live, 167.0MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (neg.f64 x) y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))) (neg.f64 y) x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (- (/ (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) x) y) x) (fma.f64 (*.f64 x (/.f64 z x)) #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64)))) y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))) x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (* (- (* (/ (exp z) x) 5641895835477563/5000000000000000) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) x (*.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) y) x))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 #s(approx (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))) y) x))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) x (*.f64 x #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))) y) x))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ (* (/ y -1) (/ -1 (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) x) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
#s(approx (+ (* (/ y -1) (/ -1 (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) x) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))))
Calls

6 calls:

16.0ms
z
14.0ms
x
14.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
13.0ms
y
12.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Results
AccuracySegmentsBranch
96.3%1x
96.3%1y
99.9%2z
98.7%2(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
99.9%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.9%2(exp.f64 z)
Compiler

Compiled 21 to 29 computations (-38.1% saved)

regimes52.0ms (0.5%)

Memory
23.0MiB live, 63.9MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (neg.f64 x) y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))) (neg.f64 y) x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (- (/ (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) x) y) x) (fma.f64 (*.f64 x (/.f64 z x)) #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64)))) y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))) x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (* (- (* (/ (exp z) x) 5641895835477563/5000000000000000) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) x (*.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) y) x))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 #s(approx (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))) y) x))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) x (*.f64 x #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))) y) x))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ (* (/ y -1) (/ -1 (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) x) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
#s(approx (+ (* (/ y -1) (/ -1 (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) x) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))))
Calls

3 calls:

29.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
11.0ms
z
9.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
98.9%2z
98.9%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
98.9%2(exp.f64 z)
Compiler

Compiled 7 to 13 computations (-85.7% saved)

regimes43.0ms (0.5%)

Memory
-4.4MiB live, 70.4MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (neg.f64 x) y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))) (neg.f64 y) x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (- (/ (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) x) y) x) (fma.f64 (*.f64 x (/.f64 z x)) #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64)))) y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))) x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (* (- (* (/ (exp z) x) 5641895835477563/5000000000000000) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) x (*.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) y) x))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 #s(approx (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x)) z (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64))))) y) x))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))))
Calls

3 calls:

22.0ms
(exp.f64 z)
12.0ms
z
7.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
98.9%2z
98.9%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
98.9%2(exp.f64 z)
Compiler

Compiled 7 to 13 computations (-85.7% saved)

regimes30.0ms (0.3%)

Memory
-20.0MiB live, 59.3MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (neg.f64 x) y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))) (neg.f64 y) x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (- (/ (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) x) y) x) (fma.f64 (*.f64 x (/.f64 z x)) #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64)))) y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))) x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (* (- (* (/ (exp z) x) 5641895835477563/5000000000000000) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) x (*.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z))))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))))
Calls

3 calls:

8.0ms
(exp.f64 z)
8.0ms
z
6.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
98.9%2z
98.9%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
98.9%2(exp.f64 z)
Compiler

Compiled 7 to 13 computations (-85.7% saved)

regimes77.0ms (0.8%)

Memory
33.7MiB live, 106.9MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (neg.f64 x) y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))) (neg.f64 y) x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (- (/ (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) x) y) x) (fma.f64 (*.f64 x (/.f64 z x)) #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64)))) y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))) x)
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)))))
Calls

6 calls:

40.0ms
x
9.0ms
z
8.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
7.0ms
y
6.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
81.8%1y
81.8%1x
92.6%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
96.9%2z
96.9%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
96.9%2(exp.f64 z)
Compiler

Compiled 21 to 29 computations (-38.1% saved)

regimes54.0ms (0.6%)

Memory
-58.8MiB live, 53.5MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (neg.f64 x) y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))) (neg.f64 y) x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (- (/ (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) x) y) x) (fma.f64 (*.f64 x (/.f64 z x)) #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64)))) y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 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 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Calls

3 calls:

24.0ms
z
24.0ms
(exp.f64 z)
5.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
95.9%2z
95.9%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
95.9%2(exp.f64 z)
Compiler

Compiled 7 to 13 computations (-85.7% saved)

regimes13.0ms (0.1%)

Memory
26.6MiB live, 26.6MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (neg.f64 x) y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))) (neg.f64 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 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Calls

3 calls:

5.0ms
z
4.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
4.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
95.8%2z
95.8%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
95.8%2(exp.f64 z)
Compiler

Compiled 7 to 13 computations (-85.7% saved)

regimes14.0ms (0.1%)

Memory
11.4MiB live, 49.8MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
Calls

3 calls:

5.0ms
(exp.f64 z)
4.0ms
z
3.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
95.0%2z
95.0%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
95.0%2(exp.f64 z)
Compiler

Compiled 7 to 13 computations (-85.7% saved)

regimes9.0ms (0.1%)

Memory
-9.7MiB live, 29.0MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))))
Calls

3 calls:

3.0ms
z
2.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
2.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
94.7%3z
94.7%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
94.7%3(exp.f64 z)
Compiler

Compiled 7 to 13 computations (-85.7% saved)

regimes13.0ms (0.1%)

Memory
1.2MiB live, 38.4MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #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)))
Calls

4 calls:

4.0ms
(exp.f64 z)
3.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
3.0ms
z
2.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
89.8%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
82.6%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
82.6%2(exp.f64 z)
82.6%2z
Compiler

Compiled 19 to 23 computations (-21.1% saved)

regimes2.0ms (0%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
Calls

1 calls:

2.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Results
AccuracySegmentsBranch
85.7%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes9.0ms (0.1%)

Memory
-18.0MiB live, 28.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(+.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)))
Calls

6 calls:

3.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
1.0ms
y
1.0ms
x
1.0ms
z
1.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
68.1%1z
68.1%1(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
68.1%1(exp.f64 z)
68.1%1x
68.1%1y
68.1%1(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 21 to 29 computations (-38.1% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999999994813679
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999999994813679
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999999994813679
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999999994813679
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999999994813679
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999999994813679
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999999994813679
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999999994813679
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch29.0ms (0.3%)

Memory
-4.9MiB live, 71.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.1034109962446471e+35
2.7118929183260813e+35
16.0ms
-1914828.9480190414
-31153.63528790399
Samples
17.0ms192×0valid
Compiler

Compiled 222 to 242 computations (-9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 3.0ms (24.5% of total)
const: 3.0ms (24.5% of total)
ival-exp: 2.0ms (16.3% of total)
ival-mult: 2.0ms (16.3% of total)
ival-sub: 1.0ms (8.2% of total)
ival-add: 1.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2209973625284.843
10838718962495885000.0
0.0ms
-752.8648301884159
-2.913112010601817e-10
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2209973625284.843
10838718962495885000.0
0.0ms
-752.8648301884159
-2.913112010601817e-10
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify31.0ms (0.3%)

Memory
0.1MiB live, 83.2MiB allocated
Algorithm
1×egg-herbie
Rules
54×+-commutative-binary64-+.f64
26×*-commutative-binary64-*.f64
26×sub-neg-binary64-neg.f64-+.f64--.f64
20×cancel-sign-sub-inv-binary64-neg.f64-+.f64-*.f64--.f64
6×neg-sub0-binary64--.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147710
1193710
2216710
3222710
4225710
Stop Event
1×saturated
Calls
Call 1
Inputs
(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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) 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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) 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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) 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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x))))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))
(if (<=.f64 (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 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))))
(if (<=.f64 z #s(literal -31500 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 260000000000000006602147139554377728 binary64)) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))))))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -500 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 4000000000000 binary64)) (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #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)))))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -500 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 4000000000000 binary64)) (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 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))) (/.f64 #s(literal -1 binary64) x)))
Outputs
(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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) y) x))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 #s(approx (* (/ (exp z) x) 5641895835477563/5000000000000000) #s(approx (+ (* (+ (* (/ z x) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) (/ 5641895835477563/5000000000000000 x)) z) (/ 5641895835477563/5000000000000000 x)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)) x))) y) x))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x))))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (+.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 y x))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (+.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 y x))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) x))
(if (<=.f64 z #s(literal -31500 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 260000000000000006602147139554377728 binary64)) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))))))
(if (<=.f64 z #s(literal -31500 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 z #s(literal 260000000000000006602147139554377728 binary64)) (+.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))) x) (+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))) x)))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -500 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 4000000000000 binary64)) (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #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)))))
(if (<=.f64 (+.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) x) #s(literal -500 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 (+.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) x) #s(literal 4000000000000 binary64)) (+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) x) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x)))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -500 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 4000000000000 binary64)) (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)))))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))))
(if (<=.f64 (+.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) x) #s(literal -500 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 (+.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) x) #s(literal 4000000000000 binary64)) (+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))) x) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x)

soundness1.2s (12.3%)

Memory
-12.9MiB live, 811.6MiB allocated
Rules
10 586×lower-fma.f64
10 586×lower-fma.f32
8 782×lower-fma.f64
8 782×lower-fma.f32
8 506×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037910237
1111010134
232069693
083659277
03161995
19041975
226471891
083231801
043211625
1129811522
2381011033
0822510465
058112207
1179412012
2527611743
0811311158
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 597 to 354 computations (40.7% saved)

preprocess262.0ms (2.8%)

Memory
12.7MiB live, 182.8MiB allocated
Compiler

Compiled 798 to 286 computations (64.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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