Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, A

Time bar (total: 21.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze176.0ms (0.8%)

Memory
-11.0MiB live, 184.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
50%49.9%49.9%0.2%0%0%0%4
50%49.9%49.9%0.2%0%0%0%5
50%49.9%49.9%0.2%0%0%0%6
50%49.9%49.9%0.2%0%0%0%7
66.7%49.9%25%0.2%0%25%0%8
66.7%49.9%25%0.2%0%25%0%9
66.7%49.9%25%0.2%0%25%0%10
66.7%49.9%25%0.2%0%25%0%11
80%49.9%12.5%0.2%0%37.4%0%12
Compiler

Compiled 19 to 17 computations (10.5% saved)

sample1.5s (7%)

Memory
60.9MiB live, 2 388.3MiB allocated
Samples
846.0ms8 256×0valid
208.0ms2 024×0invalid
Precisions
Click to see histograms. Total time spent on operations: 642.0ms
ival-mult: 343.0ms (53.4% of total)
ival-exp: 77.0ms (12% of total)
ival-div: 73.0ms (11.4% of total)
ival-sqrt: 72.0ms (11.2% of total)
ival-sub: 55.0ms (8.6% of total)
exact: 10.0ms (1.6% of total)
ival-true: 8.0ms (1.2% of total)
ival-assert: 5.0ms (0.8% of total)
Bogosity

explain401.0ms (1.9%)

Memory
0.8MiB live, 280.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
00-0-t
00-0-(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
00-0-(/.f64 (*.f64 t t) #s(literal 2 binary64))
00-0-z
00-0-(*.f64 x #s(literal 1/2 binary64))
00-0-(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
00-0-(*.f64 t t)
00-0-(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(*.f64 z #s(literal 2 binary64))
00-0-(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
00-0-#s(literal 1/2 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f64(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))sensitivity10
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
58.0ms512×0valid
Compiler

Compiled 149 to 49 computations (67.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 15.0ms (42.3% of total)
ival-sqrt: 10.0ms (28.2% of total)
ival-exp: 4.0ms (11.3% of total)
ival-div: 3.0ms (8.5% of total)
ival-sub: 2.0ms (5.6% of total)
exact: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess252.0ms (1.2%)

Memory
-11.2MiB live, 146.3MiB allocated
Algorithm
egg-herbie
Rules
1 466×times-frac
1 444×unsub-neg
1 344×lower-fma.f64
1 344×lower-fma.f32
934×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072232
1192226
2495224
31536224
44035224
56477224
01517
02416
13616
25816
311516
424616
537516
650716
781716
8150516
9194316
10208316
11210116
12210116
13212116
14212916
15212916
0212916
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (sqrt.f64 (exp.f64 (*.f64 t t)))))
Symmetry

(abs t)

Compiler

Compiled 21 to 15 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify166.0ms (0.8%)

Memory
-11.0MiB live, 41.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff0
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
cost-diff64
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
Rules
1 344×lower-fma.f64
1 344×lower-fma.f32
922×lower-*.f32
912×lower-*.f64
418×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01562
02460
13660
25860
311560
424660
537560
650760
781760
8150560
9194360
10208360
11210160
12210160
13212160
14212960
15212960
0212960
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(/.f64 (*.f64 t t) #s(literal 2 binary64))
(*.f64 t t)
t
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (sqrt.f64 (exp.f64 (*.f64 t t)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal -1/2 binary64) y)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(sqrt.f64 (exp.f64 (*.f64 t t)))
(/.f64 (*.f64 t t) #s(literal 2 binary64))
(*.f64 t t)
t

localize142.0ms (0.7%)

Memory
-11.3MiB live, 65.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(/.f64 (*.f64 t t) #s(literal 2 binary64))
accuracy0.00390625
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
accuracy0.025663498470042765
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
accuracy0.2890625
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Samples
97.0ms256×0valid
Compiler

Compiled 64 to 17 computations (73.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 76.0ms (91.2% of total)
ival-div: 2.0ms (2.4% of total)
ival-exp: 2.0ms (2.4% of total)
ival-sqrt: 2.0ms (2.4% of total)
ival-sub: 1.0ms (1.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series70.0ms (0.3%)

Memory
-5.1MiB live, 32.7MiB allocated
Counts
5 → 132
Calls
Call 1
Inputs
#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 t t) #s(literal 2 binary64)) (patch (/.f64 (*.f64 t t) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow t 2))) (taylor 0 t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (taylor 0 t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (taylor 0 t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) (taylor inf y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 x) y) (taylor 0 x) (#s(alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
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#s(alt (- (* 1/2 x) y) (taylor 0 x) (#s(alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (pow t 2)) (taylor inf t) (#s(alt (/.f64 (*.f64 t t) #s(literal 2 binary64)) (patch (/.f64 (*.f64 t t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow t 2)) (taylor inf t) (#s(alt (/.f64 (*.f64 t t) #s(literal 2 binary64)) (patch (/.f64 (*.f64 t t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow t 2)) (taylor inf t) (#s(alt (/.f64 (*.f64 t t) #s(literal 2 binary64)) (patch (/.f64 (*.f64 t t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (pow t 2)) (taylor -inf t) (#s(alt (/.f64 (*.f64 t t) #s(literal 2 binary64)) (patch (/.f64 (*.f64 t t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow t 2)) (taylor -inf t) (#s(alt (/.f64 (*.f64 t t) #s(literal 2 binary64)) (patch (/.f64 (*.f64 t t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow t 2)) (taylor -inf t) (#s(alt (/.f64 (*.f64 t t) #s(literal 2 binary64)) (patch (/.f64 (*.f64 t t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
Calls

33 calls:

TimeVariablePointExpression
3.0ms
z
@0
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
2.0ms
x
@0
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
1.0ms
x
@-inf
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
1.0ms
y
@0
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
1.0ms
z
@-inf
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))

simplify1.0s (4.7%)

Memory
38.3MiB live, 509.0MiB allocated
Algorithm
egg-herbie
Rules
18 902×lower-fma.f64
18 902×lower-fma.f32
6 248×lower-*.f64
6 248×lower-*.f32
4 670×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332071
14461592
215561499
344461496
088511484
Stop Event
iter limit
node limit
Counts
132 → 132
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(* -1 y)
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(exp (* 1/2 (pow t 2)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (sqrt.f64 z))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (sqrt.f64 z))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (sqrt.f64 z))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (sqrt.f64 z))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (neg.f64 y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (neg.f64 y)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (neg.f64 y)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (sqrt.f64 z)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (sqrt.f64 z)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (sqrt.f64 z)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (sqrt.f64 z)))))
(* -1 y)
(neg.f64 y)
(- (* 1/2 x) y)
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(- (* 1/2 x) y)
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(- (* 1/2 x) y)
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1 (/ y x))))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* x (+ 1/2 (* -1 (/ y x))))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* x (+ 1/2 (* -1 (/ y x))))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (/ y x) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* -1 (* x (- (/ y x) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* -1 (* x (- (/ y x) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* -1 y) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(+ (* -1 y) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(+ (* -1 y) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* y (- (* 1/2 (/ x y)) 1))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* y (- (* 1/2 (/ x y)) 1))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* y (- (* 1/2 (/ x y)) 1))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))

rewrite718.0ms (3.4%)

Memory
-6.6MiB live, 753.7MiB allocated
Rules
6 922×lower-fma.f64
6 922×lower-fma.f32
4 292×lower-/.f32
4 290×lower-/.f64
3 846×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01543
02441
16340
228540
3234340
0861640
Stop Event
iter limit
node limit
iter limit
Counts
5 → 443
Calls
Call 1
Inputs
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 (*.f64 t t) #s(literal 2 binary64))
Outputs
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (*.f64 t t)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 t (neg.f64 t)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (E.f64)) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 t #s(literal 1/2 binary64)))) t))
(fabs.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(sqrt.f64 (exp.f64 (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 t (neg.f64 t))))
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))
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(*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))
(*.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))))) (fma.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y))))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/512 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))
(/.f64 t (/.f64 #s(literal 2 binary64) t))
(/.f64 (*.f64 t t) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 (*.f64 t (neg.f64 t)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (*.f64 t #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 t t)))
(/.f64 (neg.f64 t) (neg.f64 (/.f64 #s(literal 2 binary64) t)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t))))
(/.f64 (neg.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 2 binary64) t))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (neg.f64 t))) #s(literal -2 binary64))
(/.f64 (*.f64 t #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) t))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) t)) (neg.f64 (/.f64 #s(literal 2 binary64) t)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (neg.f64 t)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 t #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 2 binary64) t)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))))
(pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) (/.f64 #s(literal 2 binary64) (*.f64 t t))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 t (*.f64 t #s(literal 1/2 binary64)))
(*.f64 (*.f64 t t) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(*.f64 (*.f64 t (neg.f64 t)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
(*.f64 (*.f64 t #s(literal 1/2 binary64)) t)
(*.f64 (*.f64 t #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 t) (/.f64 t #s(literal -2 binary64)))
(*.f64 (neg.f64 t) (*.f64 t #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 t (neg.f64 t)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) t) (*.f64 t #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (neg.f64 t))) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) #s(literal -1 binary64)) #s(literal -1/2 binary64))

eval120.0ms (0.6%)

Memory
4.8MiB live, 157.2MiB allocated
Compiler

Compiled 20 857 to 1 749 computations (91.6% saved)

prune161.0ms (0.8%)

Memory
-7.5MiB live, 273.5MiB allocated
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New55322575
Fresh000
Picked101
Done000
Total55422576
Accuracy
100.0%
Counts
576 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))))
98.2%
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) x) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
22.8%
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
99.5%
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
70.5%
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)))
99.7%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
99.8%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))))
99.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/2 binary64))))
99.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
99.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
94.8%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
93.2%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
86.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
59.2%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
99.6%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
99.6%
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))
90.0%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))))
86.6%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
60.5%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
59.1%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
Compiler

Compiled 1 076 to 728 computations (32.3% saved)

simplify258.0ms (1.2%)

Memory
-6.2MiB live, 327.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 1/4 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
cost-diff0
(-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))
cost-diff0
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)))
cost-diff0
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
cost-diff0
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))
cost-diff0
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff0
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff0
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff0
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))))
Rules
6 082×lower-fma.f32
6 074×lower-fma.f64
4 184×lower-*.f32
4 148×lower-*.f64
1 192×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058443
096437
1179437
2369433
3926433
41985433
52588433
63554433
74740433
85963433
97558433
08025433
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(*.f64 t #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 t t)
t
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
#s(literal 1/48 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
#s(literal 1/2 binary64)
(*.f64 t t)
t
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 z)
z
(neg.f64 y)
y
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)))
(-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
x
(*.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 y y)
y
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))
#s(literal 2 binary64)
(*.f64 z (exp.f64 (*.f64 t t)))
z
(exp.f64 (*.f64 t t))
(*.f64 t t)
t
(fma.f64 x #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))) (fma.f64 x #s(literal -1/2 binary64) y))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(*.f64 t #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(neg.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal -1/2 binary64) y))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 t t)
t
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
#s(literal 1/48 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (neg.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 y (sqrt.f64 z)))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))
(neg.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 z)))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
#s(literal 1/2 binary64)
(*.f64 t t)
t
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 z)
z
(neg.f64 y)
y
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (fma.f64 y (neg.f64 y) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)))
(-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))
(fma.f64 y (neg.f64 y) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
x
(*.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 y y)
y
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))
(sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))
#s(literal 2 binary64)
(*.f64 z (exp.f64 (*.f64 t t)))
z
(exp.f64 (*.f64 t t))
(*.f64 t t)
t
(fma.f64 x #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)

localize208.0ms (1%)

Memory
4.1MiB live, 315.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.03291509669805507
(exp.f64 (*.f64 t t))
accuracy0.12890625
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))
accuracy3.593733486641647
(-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))
accuracy12.172874449289969
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)))
accuracy0.025663498470042765
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
accuracy0.12109375
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))
accuracy0.21875
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
accuracy17.43286690416258
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
accuracy0.00390625
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
accuracy0.01171875
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
accuracy0.15625
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy1.2852925792311027
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy0.00390625
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
accuracy0.15625
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy1.661147584977946
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy0
(exp.f64 (neg.f64 t))
accuracy0.00390625
(pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))
accuracy0.00390625
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))))
accuracy0.15625
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Samples
64.0ms117×1exit
56.0ms139×0valid
Compiler

Compiled 400 to 52 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-mult: 43.0ms (50.3% of total)
ival-sqrt: 8.0ms (9.4% of total)
adjust: 7.0ms (8.2% of total)
ival-exp: 7.0ms (8.2% of total)
ival-add: 5.0ms (5.8% of total)
const: 4.0ms (4.7% of total)
ival-div: 3.0ms (3.5% of total)
ival-pow: 3.0ms (3.5% of total)
ival-sub: 2.0ms (2.3% of total)
ival-neg: 2.0ms (2.3% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series168.0ms (0.8%)

Memory
-1.8MiB live, 243.0MiB allocated
Counts
23 → 576
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) (patch #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)) (patch (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (patch (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) (patch (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (patch (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (patch (*.f64 x (*.f64 x #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/4 binary64)) (patch (*.f64 x #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))) (patch (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 t)) (patch (exp.f64 (neg.f64 t)) #<representation binary64>) () ())
#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (patch (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 t t)) (patch (exp.f64 (*.f64 t t)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 z) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 z) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (+ (* -1/8 (* (/ (* (pow x 3) (sqrt 2)) (pow y 3)) (sqrt (* z (exp (pow t 2)))))) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) y) (taylor inf y) (#s(alt (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2))))) (taylor -inf y) (#s(alt (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y)) (taylor -inf y) (#s(alt (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
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#s(alt (exp (pow t 2)) (taylor inf t) (#s(alt (exp.f64 (*.f64 t t)) (patch (exp.f64 (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (exp (pow t 2)) (taylor inf t) (#s(alt (exp.f64 (*.f64 t t)) (patch (exp.f64 (*.f64 t t)) #<representation binary64>) () ())) ())
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#s(alt (exp (pow t 2)) (taylor -inf t) (#s(alt (exp.f64 (*.f64 t t)) (patch (exp.f64 (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (exp (pow t 2)) (taylor -inf t) (#s(alt (exp.f64 (*.f64 t t)) (patch (exp.f64 (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (exp (pow t 2)) (taylor -inf t) (#s(alt (exp.f64 (*.f64 t t)) (patch (exp.f64 (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (exp (pow t 2)) (taylor -inf t) (#s(alt (exp.f64 (*.f64 t t)) (patch (exp.f64 (*.f64 t t)) #<representation binary64>) () ())) ())
Calls

144 calls:

TimeVariablePointExpression
62.0ms
z
@0
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (neg t)) (* t -1/2)))
12.0ms
y
@0
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (neg t)) (* t -1/2)))
11.0ms
t
@0
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (neg t)) (* t -1/2)))
8.0ms
x
@0
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (neg t)) (* t -1/2)))
6.0ms
x
@0
(* (- (* x (* x 1/4)) (* y y)) (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y)))

simplify480.0ms (2.3%)

Memory
3.0MiB live, 628.5MiB allocated
Algorithm
egg-herbie
Rules
10 608×lower-fma.f64
10 608×lower-fma.f32
9 798×lower-*.f64
9 798×lower-*.f32
2 798×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050011491
115839909
255629452
088309220
Stop Event
iter limit
node limit
Counts
576 → 576
Calls
Call 1
Inputs
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(* -1 y)
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
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(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))
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(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x)))))
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(* -1 (pow y 2))
(- (* 1/4 (pow x 2)) (pow y 2))
(- (* 1/4 (pow x 2)) (pow y 2))
(- (* 1/4 (pow x 2)) (pow y 2))
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(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* 1/4 (pow x 2))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(* -1 (pow y 2))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
1
(+ 1 (* -1 t))
(+ 1 (* t (- (* 1/2 t) 1)))
(+ 1 (* t (- (* t (+ 1/2 (* -1/6 t))) 1)))
(exp (neg t))
(exp (neg t))
(exp (neg t))
(exp (neg t))
(exp (* -1 t))
(exp (* -1 t))
(exp (* -1 t))
(exp (* -1 t))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
1/2
(+ 1/2 (* 1/8 (pow t 2)))
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))
(* 1/48 (pow t 4))
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* 1/48 (pow t 4))
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))
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(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))
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(+ (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x))))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (+ y (* 1/2 x))) (sqrt (/ 1 z)))))))))
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(/ (+ (* -4 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))) x)
(/ (+ (* -4 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (+ (* 2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 8 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2)))))))) x)
(/ (+ (* -16 (* (/ (* (pow y 3) (sqrt 2)) (pow x 3)) (sqrt (* z (exp (pow t 2)))))) (+ (* -4 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (+ (* 2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 8 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2))))))))) x)
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(* -1 (/ (+ (* -2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 4 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))) x))
(* -1 (/ (+ (* -2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -4 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 8 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))) x))) x))
(* -1 (/ (+ (* -2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -4 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* -1 (/ (+ (* -8 (* (* (pow y 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 16 (* (/ (* (pow y 3) (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))) x))) x))) x))
(* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2))))))
(+ (* -4 (* (/ (* y (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2)))))))
(+ (* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2)))))) (* y (+ (* -4 (* (/ (sqrt 2) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* 8 (* (/ (* y (sqrt 2)) (pow x 3)) (sqrt (* z (exp (pow t 2)))))))))
(+ (* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2)))))) (* y (+ (* -4 (* (/ (sqrt 2) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* y (+ (* -16 (* (/ (* y (sqrt 2)) (pow x 4)) (sqrt (* z (exp (pow t 2)))))) (* 8 (* (/ (sqrt 2) (pow x 3)) (sqrt (* z (exp (pow t 2)))))))))))
(* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2)))))
(/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) y)
(/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))) y)
(/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (+ (* -1/8 (* (/ (* (pow x 3) (sqrt 2)) (pow y 3)) (sqrt (* z (exp (pow t 2)))))) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) y)
(* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2)))))
(* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y))
(* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y))) y))
(* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/8 (* (/ (* (pow x 3) (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y)) (* -1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) y))) y))
1
(+ 1 (pow t 2))
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
Outputs
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(neg.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 y (sqrt.f64 z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
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(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
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(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
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(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
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(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
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(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
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(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
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(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
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(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
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(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
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(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
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1
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1/2
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1
#s(literal 1 binary64)
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(/.f64 (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal 2 binary64))) y) x) (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) x)
(/ (+ (* -16 (* (/ (* (pow y 3) (sqrt 2)) (pow x 3)) (sqrt (* z (exp (pow t 2)))))) (+ (* -4 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (+ (* 2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 8 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2))))))))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 (*.f64 #s(literal -16 binary64) (*.f64 y (*.f64 y y))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal 2 binary64))) y) x)) (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) x)
(* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2))))))
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(* -1 (/ (+ (* -2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 4 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))) x))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) (neg.f64 x))
(* -1 (/ (+ (* -2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -4 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 8 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))) x))) x))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) #s(literal -4 binary64) (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) x)) (neg.f64 x))
(* -1 (/ (+ (* -2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -4 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* -1 (/ (+ (* -8 (* (* (pow y 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 16 (* (/ (* (pow y 3) (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))) x))) x))) x))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal 2 binary64))) y)) (/.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y y)) #s(literal -8 binary64) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 y (*.f64 y y))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) x)) (neg.f64 x))) (neg.f64 x))
(* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2))))))
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(+ (* -4 (* (/ (* y (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2)))))))
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal 2 binary64))) y) (*.f64 x x))))
(+ (* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2)))))) (* y (+ (* -4 (* (/ (sqrt 2) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* 8 (* (/ (* y (sqrt 2)) (pow x 3)) (sqrt (* z (exp (pow t 2)))))))))
(fma.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)))
(+ (* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2)))))) (* y (+ (* -4 (* (/ (sqrt 2) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* y (+ (* -16 (* (/ (* y (sqrt 2)) (pow x 4)) (sqrt (* z (exp (pow t 2)))))) (* 8 (* (/ (sqrt 2) (pow x 3)) (sqrt (* z (exp (pow t 2)))))))))))
(fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal 2 binary64))) y) (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -16 binary64) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))))
(* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2)))))
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y))
(/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) y)
(/.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))) y)
(/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))) y)
(/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y y)))))) y)
(/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (+ (* -1/8 (* (/ (* (pow x 3) (sqrt 2)) (pow y 3)) (sqrt (* z (exp (pow t 2)))))) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) y)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (*.f64 y y))))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y y)) (sqrt.f64 #s(literal 2 binary64))))) y)
(* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2)))))
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y))
(* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) (neg.f64 y))
(* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y))) y))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y))))) y)) y)
(* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/8 (* (/ (* (pow x 3) (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y)) (* -1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) y))) y))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (/.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)))) y)) y)) y)
1
#s(literal 1 binary64)
(+ 1 (pow t 2))
(fma.f64 t t #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))
(fma.f64 t (fma.f64 t (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp (pow t 2))
(exp.f64 (*.f64 t t))
(exp (pow t 2))
(exp.f64 (*.f64 t t))
(exp (pow t 2))
(exp.f64 (*.f64 t t))
(exp (pow t 2))
(exp.f64 (*.f64 t t))
(exp (pow t 2))
(exp.f64 (*.f64 t t))
(exp (pow t 2))
(exp.f64 (*.f64 t t))
(exp (pow t 2))
(exp.f64 (*.f64 t t))
(exp (pow t 2))
(exp.f64 (*.f64 t t))

rewrite587.0ms (2.8%)

Memory
14.9MiB live, 660.4MiB allocated
Rules
7 056×lower-fma.f32
7 048×lower-fma.f64
4 372×lower-*.f32
4 336×lower-*.f64
4 328×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058279
096261
1282247
21628247
08285247
Stop Event
iter limit
node limit
iter limit
Counts
23 → 823
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)))
(-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
(*.f64 x #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 t))
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))
(exp.f64 (*.f64 t t))
Outputs
(+.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 y (neg.f64 y))))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y))))
(-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y))) (/.f64 (*.f64 y y) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))) (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 y (neg.f64 y))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (/.f64 (sqrt.f64 z) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
(*.f64 (/.f64 (sqrt.f64 z) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y)))) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(*.f64 (/.f64 (sqrt.f64 z) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y)))) (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 t (neg.f64 t)) #s(literal -1/4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (exp.f64 (*.f64 (*.f64 t (neg.f64 t)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 t (neg.f64 t)) #s(literal -1/4 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y)))) (/.f64 (exp.f64 (*.f64 (*.f64 t (neg.f64 t)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 t (neg.f64 t)) #s(literal -1/4 binary64)))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (/.f64 (exp.f64 (*.f64 (*.f64 t (neg.f64 t)) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 t (neg.f64 t)) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 (*.f64 t (neg.f64 t)) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 t t))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (exp.f64 (*.f64 t t))))
(pow.f64 (exp.f64 (neg.f64 t)) (fma.f64 t #s(literal -1/2 binary64) (*.f64 t #s(literal -1/2 binary64))))
(pow.f64 (exp.f64 (neg.f64 t)) (+.f64 (fma.f64 t #s(literal -1/4 binary64) (*.f64 t #s(literal -1/4 binary64))) (*.f64 t #s(literal -1/2 binary64))))
(pow.f64 (exp.f64 (neg.f64 t)) (fma.f64 #s(literal 2 binary64) (*.f64 t #s(literal -1/4 binary64)) (*.f64 t #s(literal -1/2 binary64))))
(pow.f64 (exp.f64 (neg.f64 t)) (fma.f64 t #s(literal -1/2 binary64) (fma.f64 t #s(literal -1/4 binary64) (*.f64 t #s(literal -1/4 binary64)))))
(pow.f64 (exp.f64 (neg.f64 t)) (+.f64 (fma.f64 t #s(literal -1/4 binary64) (*.f64 t #s(literal -1/4 binary64))) (fma.f64 t #s(literal -1/4 binary64) (*.f64 t #s(literal -1/4 binary64)))))
(pow.f64 (exp.f64 (neg.f64 t)) (fma.f64 #s(literal 2 binary64) (*.f64 t #s(literal -1/4 binary64)) (fma.f64 t #s(literal -1/4 binary64) (*.f64 t #s(literal -1/4 binary64)))))
(pow.f64 (exp.f64 (neg.f64 t)) (fma.f64 t #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 t #s(literal -1/4 binary64)))))
(pow.f64 (exp.f64 (neg.f64 t)) (+.f64 (fma.f64 t #s(literal -1/4 binary64) (*.f64 t #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 t #s(literal -1/4 binary64)))))
(pow.f64 (exp.f64 (neg.f64 t)) (fma.f64 #s(literal 2 binary64) (*.f64 t #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 t #s(literal -1/4 binary64)))))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 t t)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (*.f64 t (neg.f64 t))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 t t (*.f64 t t)))
(pow.f64 (exp.f64 t) t)
(pow.f64 (exp.f64 t) (fma.f64 #s(literal 1/2 binary64) t (*.f64 #s(literal 1/2 binary64) t)))
(pow.f64 (exp.f64 (*.f64 (*.f64 t (neg.f64 t)) #s(literal -1/4 binary64))) #s(literal 4 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) t)) (+.f64 t t))
(pow.f64 (exp.f64 (+.f64 (neg.f64 t) (neg.f64 t))) (*.f64 t #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (+.f64 (neg.f64 t) (neg.f64 t))) (fma.f64 t #s(literal -1/4 binary64) (*.f64 t #s(literal -1/4 binary64))))
(pow.f64 (exp.f64 (+.f64 (neg.f64 t) (neg.f64 t))) (*.f64 #s(literal 2 binary64) (*.f64 t #s(literal -1/4 binary64))))
(pow.f64 (*.f64 (exp.f64 t) (exp.f64 t)) (*.f64 #s(literal 1/2 binary64) t))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (*.f64 t t))
(pow.f64 (*.f64 (exp.f64 (*.f64 t (neg.f64 t))) (exp.f64 (*.f64 t (neg.f64 t)))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (exp.f64 (*.f64 t t)) (exp.f64 (*.f64 t t))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) t)) (exp.f64 (*.f64 #s(literal 1/2 binary64) t))) t)
(pow.f64 (*.f64 (exp.f64 (+.f64 (neg.f64 t) (neg.f64 t))) (exp.f64 (+.f64 (neg.f64 t) (neg.f64 t)))) (*.f64 t #s(literal -1/4 binary64)))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))

eval320.0ms (1.5%)

Memory
1.2MiB live, 414.0MiB allocated
Compiler

Compiled 63 315 to 3 100 computations (95.1% saved)

prune403.0ms (1.9%)

Memory
11.4MiB live, 698.6MiB allocated
Pruning

53 alts after pruning (50 fresh and 3 done)

PrunedKeptTotal
New1 818451 863
Fresh12517
Picked235
Done000
Total1 832531 885
Accuracy
100.0%
Counts
1 885 → 53
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.8%
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
59.1%
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
57.6%
(*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
99.5%
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
99.6%
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
66.6%
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) (fma.f64 x #s(literal 1/2 binary64) y)))
45.2%
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) #s(approx (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x y))))
99.7%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
57.6%
(*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
55.1%
(*.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
27.4%
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))))) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
59.0%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
94.6%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
59.0%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
99.8%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))))
99.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
99.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
93.2%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
86.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
67.8%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/2304 binary64)) #s(literal -1/64 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
94.8%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/48 binary64) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
94.8%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
58.0%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (/.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
93.2%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
59.2%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
22.0%
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
45.4%
(*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
18.3%
(*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
17.2%
(*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
94.7%
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
59.1%
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
59.2%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
58.3%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
62.9%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))))
59.3%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
31.3%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
55.9%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
30.3%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
94.8%
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
55.9%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
59.3%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
31.2%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
57.5%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (*.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (neg.f64 (sqrt.f64 z)))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
64.4%
#s(approx (* (- (* x (* x 1/4)) (* y y)) (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
59.1%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (neg t)) (* t -1/2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
86.6%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
56.6%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
55.9%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
50.6%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
30.2%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
60.5%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 (*.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64)) z)) (neg.f64 y)))
30.2%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))))
Compiler

Compiled 2 783 to 1 787 computations (35.8% saved)

simplify565.0ms (2.7%)

Memory
19.3MiB live, 494.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))
cost-diff0
(*.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
cost-diff128
(-.f64 y (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
cost-diff0
#s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
cost-diff0
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff0
(*.f64 z #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
cost-diff1088
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- (* x 1/2) y) (neg.f64 y))
cost-diff0
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff0
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
Rules
14 360×lower-fma.f32
14 348×lower-fma.f64
5 650×lower-*.f32
5 604×lower-*.f64
2 260×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056608
099574
1189572
2420572
31173572
43823572
56684572
08064566
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
(E.f64)
(*.f64 (*.f64 t t) #s(literal 1/2 binary64))
(*.f64 t t)
t
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
#s(approx (- (* x 1/2) y) (neg.f64 y))
(neg.f64 y)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
#s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
t
(*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))
(fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(*.f64 t t)
#s(literal 1/48 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y)))
x
(*.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 y (neg.f64 y))
y
(neg.f64 y)
(fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))
#s(literal 1/8 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
(*.f64 y (*.f64 y y))
(*.f64 y y)
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))
(-.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (pow.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
(pow.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(E.f64)
(*.f64 (*.f64 t t) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(*.f64 t t)
t
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y)))
#s(approx (- (* x 1/2) y) (neg.f64 y))
(neg.f64 y)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
t
(*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))
(fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(*.f64 t t)
#s(literal 1/48 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(*.f64 x #s(literal 1/2 binary64))
x
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal -1/2 binary64) y))))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))
(*.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal -1/2 binary64) y))))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal -1/2 binary64) y)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))
(/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y)))
(-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))
x
(*.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 y (neg.f64 y))
y
(neg.f64 y)
(fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))
#s(literal 1/8 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
(*.f64 y (*.f64 y y))
(*.f64 y y)
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal -1/2 binary64) y)))
(*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))
(*.f64 y (fma.f64 x #s(literal -1/2 binary64) y))
(-.f64 y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) y)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)

localize280.0ms (1.3%)

Memory
-8.3MiB live, 308.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy3.4999614664778425
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y)))
accuracy29.997085084977954
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy30.284270443022923
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))
accuracy42.58358143463173
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))
accuracy0.05859375
(*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))
accuracy0.078125
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
accuracy0.1640625
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy5.044110733587741
#s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
accuracy0.014003759768442016
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
accuracy0.0234375
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
accuracy0.1796875
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
accuracy29.997085084977954
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy0.00390625
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
accuracy0.2890625
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy29.997085084977954
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy32.11643934078184
#s(approx (- (* x 1/2) y) (neg.f64 y))
accuracy0.00390625
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
accuracy0.00390625
(*.f64 (*.f64 t t) #s(literal 1/2 binary64))
accuracy0.02845860241743066
(pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
accuracy0.2890625
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Samples
154.0ms256×0valid
Compiler

Compiled 559 to 56 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 120.0ms
ival-mult: 89.0ms (74.1% of total)
ival-add: 7.0ms (5.8% of total)
ival-div: 6.0ms (5% of total)
ival-pow: 5.0ms (4.2% of total)
const: 4.0ms (3.3% of total)
ival-exp: 2.0ms (1.7% of total)
ival-e: 2.0ms (1.7% of total)
ival-sub: 2.0ms (1.7% of total)
ival-sqrt: 2.0ms (1.7% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series171.0ms (0.8%)

Memory
1.1MiB live, 195.1MiB allocated
Counts
28 → 708
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x 1/2) y) (neg.f64 y)) (patch #s(approx (- (* x 1/2) y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (patch (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 z #s(literal 2 binary64)) (patch (*.f64 z #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (patch (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())
#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (-.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())
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#s(alt (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (patch (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (patch (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #<representation binary64>) () ())
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Outputs
#s(alt (* -1 (* (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2)))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2)))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2)))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) x) (sqrt z))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) x) (sqrt z))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) x) (sqrt z))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) y) (sqrt z))))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) y) (sqrt z))))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) y) (sqrt z))))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2)))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2)))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (patch (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) (taylor -inf y) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (patch (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) (taylor -inf y) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (patch (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) (taylor -inf y) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (patch (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) #<representation binary64>) () ())) ())
Calls

177 calls:

TimeVariablePointExpression
33.0ms
z
@inf
(* (* (* (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))) (sqrt (* z 2))) (exp (/ (* t t) 2)))
22.0ms
x
@0
(* (* (* (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))) (sqrt (* z 2))) (exp (/ (* t t) 2)))
19.0ms
z
@0
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (E) (* (* t t) 1/2)))
4.0ms
x
@0
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (E) (* (* t t) 1/2)))
3.0ms
z
@0
(* (* (* (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))) (sqrt (* z 2))) (exp (/ (* t t) 2)))

simplify401.0ms (1.9%)

Memory
22.0MiB live, 531.1MiB allocated
Algorithm
egg-herbie
Rules
7 432×lower-fma.f64
7 432×lower-fma.f32
6 020×lower-*.f64
6 020×lower-*.f32
4 322×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087814019
1294612799
0812112371
Stop Event
iter limit
node limit
Counts
708 → 705
Calls
Call 1
Inputs
(* -1 (* (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z)))
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(* 1/2 (* (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z)))
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1
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(exp (* 1/2 (* (pow t 2) (log (E)))))
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1
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1/8
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(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* 1/48 (pow t 2))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* 1/8 t)
(* t (+ 1/8 (* 1/48 (pow t 2))))
(* t (+ 1/8 (* 1/48 (pow t 2))))
(* t (+ 1/8 (* 1/48 (pow t 2))))
(* 1/48 (pow t 3))
(* (pow t 3) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* 1/48 (pow t 3))
(* (pow t 3) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(/ -1 y)
(- (* 1/4 (/ (pow x 2) (pow y 3))) (/ 1 y))
(- (* (pow x 2) (+ (* 1/8 (/ x (pow y 4))) (* 1/4 (/ 1 (pow y 3))))) (/ 1 y))
(- (* (pow x 2) (+ (* x (+ (* -1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 3))))) (/ 1 y))
(/ 2 x)
(/ (+ 2 (* -8 (/ (pow y 2) (pow x 2)))) x)
(/ (+ 2 (+ (* -16 (/ (pow y 3) (pow x 3))) (* -8 (/ (pow y 2) (pow x 2))))) x)
(/ (- (+ 2 (+ (* -8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 5) (pow x 5))))) (* 16 (/ (pow y 3) (pow x 3)))) x)
(/ 2 x)
(* -1 (/ (- (* 8 (/ (pow y 2) (pow x 2))) 2) x))
(* -1 (/ (- (+ (* 8 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 3) (pow x 3)))) 2) x))
(* -1 (/ (- (+ (* -1 (/ (- (* 64 (/ (pow y 5) (pow x 2))) (* 16 (pow y 3))) (pow x 3))) (* 8 (/ (pow y 2) (pow x 2)))) 2) x))
(/ 2 x)
(+ (* -8 (/ (pow y 2) (pow x 3))) (* 2 (/ 1 x)))
(+ (* (pow y 2) (- (* -16 (/ y (pow x 4))) (* 8 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))
(+ (* (pow y 2) (- (* y (- (* 64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))
(/ -1 y)
(/ (- (* 1/4 (/ (pow x 2) (pow y 2))) 1) y)
(/ (- (+ (* 1/8 (/ (pow x 3) (pow y 3))) (* 1/4 (/ (pow x 2) (pow y 2)))) 1) y)
(/ (- (+ (* -1/32 (/ (pow x 5) (pow y 5))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/8 (/ (pow x 3) (pow y 3))))) y)
(/ -1 y)
(* -1 (/ (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))) y))
(* -1 (/ (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* -1/8 (/ (pow x 3) (pow y 3))))) y))
(* -1 (/ (+ 1 (+ (* -1 (/ (- (* -1/32 (/ (pow x 5) (pow y 2))) (* -1/8 (pow x 3))) (pow y 3))) (* -1/4 (/ (pow x 2) (pow y 2))))) y))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* 1/4 (pow x 2))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(* -1 (pow y 2))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
Outputs
(* -1 (* (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z)))
(*.f64 y (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (neg.f64 (sqrt.f64 z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))))
(*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))) (neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))))))
(+ (* -1 (* (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))))
(*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))) (neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))))))
(+ (* -1 (* (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))))
(*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))) (neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))))))
(* 1/2 (* (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))))))
(*.f64 x (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (/.f64 y x)) (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))))))
(*.f64 x (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (/.f64 y x)) (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))))))
(*.f64 x (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (/.f64 y x)) (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))))
(* 1/2 (* (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) x) (sqrt z)))))
(*.f64 (fma.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (/.f64 y x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))) (neg.f64 x))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) x) (sqrt z)))))
(*.f64 (fma.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (/.f64 y x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))) (neg.f64 x))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) x) (sqrt z)))))
(*.f64 (fma.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (/.f64 y x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))) (neg.f64 x))
(* 1/2 (* (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))))
(+ (* -1 (* (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))))
(*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))) (neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))))))
(+ (* -1 (* (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))))
(*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))) (neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))))))
(+ (* -1 (* (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z))))
(*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))) (neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))))))
(* -1 (* (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z)))
(*.f64 y (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (neg.f64 (sqrt.f64 z))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) y) (sqrt z)))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (/.f64 x y))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (neg.f64 (sqrt.f64 z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) y) (sqrt z)))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (/.f64 x y))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (neg.f64 (sqrt.f64 z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) y) (sqrt z)))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (/.f64 x y))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (neg.f64 (sqrt.f64 z)))))
(* -1 (* (* y (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z)))
(*.f64 y (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (neg.f64 (sqrt.f64 z))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (/.f64 x y))))) (neg.f64 y))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (/.f64 x y))))) (neg.f64 y))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (/.f64 x y))))) (neg.f64 y))
(* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (neg.f64 (sqrt.f64 z)))
(* -1 (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (neg.f64 (sqrt.f64 z)))
(* -1 (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (neg.f64 (sqrt.f64 z)))
(* -1 (* (sqrt z) (* (exp (* 1/2 (* (pow t 2) (log (E))))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (neg.f64 (sqrt.f64 z)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(+ (* 1/2 (* (* (pow t 2) (* (log (E)) (* (sqrt 2) (- (* 1/2 x) y)))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
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(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x x) y))) y)) (neg.f64 y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 3) y)) (* -1/4 (pow x 2))) y)) (* 1/2 x)) y))) y))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x (*.f64 x x)) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) y))) y)) y))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* 1/48 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(+ 1/8 (* 1/48 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(+ 1/8 (* 1/48 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(* 1/48 (pow t 2))
(*.f64 (*.f64 t t) #s(literal 1/48 binary64))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))))
(* 1/48 (pow t 2))
(*.f64 (*.f64 t t) #s(literal 1/48 binary64))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))))
(* 1/8 t)
(*.f64 t #s(literal 1/8 binary64))
(* t (+ 1/8 (* 1/48 (pow t 2))))
(*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))
(* t (+ 1/8 (* 1/48 (pow t 2))))
(*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))
(* t (+ 1/8 (* 1/48 (pow t 2))))
(*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))
(* 1/48 (pow t 3))
(*.f64 #s(literal 1/48 binary64) (*.f64 t (*.f64 t t)))
(* (pow t 3) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(*.f64 (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t (*.f64 t t)))
(* (pow t 3) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(*.f64 (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t (*.f64 t t)))
(* (pow t 3) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(*.f64 (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t (*.f64 t t)))
(* 1/48 (pow t 3))
(*.f64 #s(literal 1/48 binary64) (*.f64 t (*.f64 t t)))
(* (pow t 3) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(*.f64 (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t (*.f64 t t)))
(* (pow t 3) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(*.f64 (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t (*.f64 t t)))
(* (pow t 3) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(*.f64 (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t (*.f64 t t)))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (* 1/4 (/ (pow x 2) (pow y 3))) (/ 1 y))
(/.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64)) y)
(- (* (pow x 2) (+ (* 1/8 (/ x (pow y 4))) (* 1/4 (/ 1 (pow y 3))))) (/ 1 y))
(fma.f64 (*.f64 x x) (fma.f64 x (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y))
(- (* (pow x 2) (+ (* x (+ (* -1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 3))))) (/ 1 y))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 #s(literal -1/32 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -8 (/ (pow y 2) (pow x 2)))) x)
(/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 2 binary64)) x)
(/ (+ 2 (+ (* -16 (/ (pow y 3) (pow x 3))) (* -8 (/ (pow y 2) (pow x 2))))) x)
(/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) #s(literal -16 binary64) #s(literal 2 binary64))) x)
(/ (- (+ 2 (+ (* -8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 5) (pow x 5))))) (* 16 (/ (pow y 3) (pow x 3)))) x)
(/.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) #s(literal -16 binary64) (fma.f64 #s(literal -8 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 #s(literal 64 binary64) (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 8 (/ (pow y 2) (pow x 2))) 2) x))
(neg.f64 (/.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 8 binary64) (*.f64 x x)) #s(literal -2 binary64)) x))
(* -1 (/ (- (+ (* 8 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 3) (pow x 3)))) 2) x))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y y) (/.f64 #s(literal 8 binary64) (*.f64 x x)) #s(literal -2 binary64))) (neg.f64 x))
(* -1 (/ (- (+ (* -1 (/ (- (* 64 (/ (pow y 5) (pow x 2))) (* 16 (pow y 3))) (pow x 3))) (* 8 (/ (pow y 2) (pow x 2)))) 2) x))
(/.f64 (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 8 binary64) (*.f64 x x)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -16 binary64))) (neg.f64 (*.f64 x (*.f64 x x))))) (neg.f64 x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(+ (* -8 (/ (pow y 2) (pow x 3))) (* 2 (/ 1 x)))
(fma.f64 #s(literal -8 binary64) (/.f64 (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) x))
(+ (* (pow y 2) (- (* -16 (/ y (pow x 4))) (* 8 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))
(fma.f64 (*.f64 y y) (fma.f64 #s(literal -16 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 2 binary64) x))
(+ (* (pow y 2) (- (* y (- (* 64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))
(fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 #s(literal 64 binary64) (*.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 2 binary64) x))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (- (* 1/4 (/ (pow x 2) (pow y 2))) 1) y)
(/.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64)) y)
(/ (- (+ (* 1/8 (/ (pow x 3) (pow y 3))) (* 1/4 (/ (pow x 2) (pow y 2)))) 1) y)
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64))) y)
(/ (- (+ (* -1/32 (/ (pow x 5) (pow y 5))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/8 (/ (pow x 3) (pow y 3))))) y)
(/.f64 (+.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))))) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))) y))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal -1/4 binary64) (*.f64 y y)) #s(literal 1 binary64)) y))
(* -1 (/ (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* -1/8 (/ (pow x 3) (pow y 3))))) y))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (/.f64 #s(literal -1/4 binary64) (*.f64 y y)) #s(literal 1 binary64))) (neg.f64 y))
(* -1 (/ (+ 1 (+ (* -1 (/ (- (* -1/32 (/ (pow x 5) (pow y 2))) (* -1/8 (pow x 3))) (pow y 3))) (* -1/4 (/ (pow x 2) (pow y 2))))) y))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 y y)) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 y y))))) y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y)))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y)))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y)))
(* 1/4 (pow x 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x))))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x))))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x))))
(* 1/4 (pow x 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x))))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x))))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x))))
(* 1/4 (pow x 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 x x))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y)))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y)))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y)))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64)))

rewrite580.0ms (2.7%)

Memory
-69.8MiB live, 700.4MiB allocated
Rules
6 050×lower-fma.f32
6 038×lower-fma.f64
4 826×lower-*.f32
4 780×lower-*.f64
3 856×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056425
099399
1336395
22362394
08870390
Stop Event
iter limit
node limit
iter limit
Counts
28 → 908
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
#s(approx (- (* x 1/2) y) (neg.f64 y))
(neg.f64 y)
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
#s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(-.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
(*.f64 (*.f64 t t) #s(literal 1/2 binary64))
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y)))
Outputs
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))
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eval302.0ms (1.4%)

Memory
38.9MiB live, 664.6MiB allocated
Compiler

Compiled 81 055 to 5 142 computations (93.7% saved)

prune768.0ms (3.6%)

Memory
-31.9MiB live, 539.5MiB allocated
Pruning

62 alts after pruning (60 fresh and 2 done)

PrunedKeptTotal
New2 018272 045
Fresh123345
Picked415
Done213
Total2 036622 098
Accuracy
100.0%
Counts
2 098 → 62
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.8%
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
47.4%
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y)))
31.3%
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
30.3%
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
59.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))))
57.6%
(*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
99.5%
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
99.6%
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
59.0%
(*.f64 (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
66.6%
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) (fma.f64 x #s(literal 1/2 binary64) y)))
45.2%
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) #s(approx (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x y))))
99.7%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
57.6%
(*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
55.1%
(*.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
27.4%
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))))) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
94.6%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
99.8%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))))
93.2%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
86.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
58.0%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (/.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
93.2%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
22.0%
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
7.3%
(*.f64 (*.f64 (*.f64 (/.f64 #s(approx (+ (* x (* x 1/4)) (* y (neg y))) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
59.1%
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
94.7%
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
30.5%
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64))) y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
31.7%
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64)) y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
32.7%
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 #s(literal 2 binary64) x)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
38.9%
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
30.2%
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
30.0%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
59.2%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
58.3%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
62.9%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))))
62.9%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
59.3%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
31.3%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
30.2%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (pow.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
55.9%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
54.8%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
50.3%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
30.3%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
94.3%
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
94.8%
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/48 binary64)) (*.f64 t #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
94.6%
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
60.5%
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
87.1%
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
56.1%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (fma.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
31.2%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
55.9%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
59.3%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
59.2%
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
64.4%
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
59.0%
#s(approx (/ (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (/ 1 (- (* x 1/2) y))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
64.4%
#s(approx (* (- (* x (* x 1/4)) (* y y)) (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
59.1%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (neg t)) (* t -1/2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
86.6%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
55.9%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
50.6%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
30.2%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
60.5%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 (*.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64)) z)) (neg.f64 y)))
30.2%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))))
Compiler

Compiled 3 107 to 2 046 computations (34.1% saved)

simplify409.0ms (1.9%)

Memory
27.0MiB live, 259.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff0
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- (* x 1/2) y) (neg.f64 y))
cost-diff0
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff0
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff0
#s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
cost-diff0
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff0
(sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff0
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
Rules
7 222×lower-fma.f32
7 214×lower-fma.f64
4 646×lower-*.f32
4 618×lower-*.f64
1 486×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050462
081456
1147456
2306456
3703456
41484456
52412456
63205456
74121456
85315456
96060456
106769456
116853456
126907456
137044456
147692456
157820456
167980456
08006456
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(exp.f64 (*.f64 t t))
(*.f64 t t)
t
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
#s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
(*.f64 t t)
t
#s(literal 1 binary64)
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
#s(approx (- (* x 1/2) y) (neg.f64 y))
(neg.f64 y)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 t t)
t
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
#s(literal 1/48 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 z)
z
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 t t)
t
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
#s(literal 1/48 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(exp.f64 (*.f64 t t))
(*.f64 t t)
t
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
#s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
#s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
(*.f64 t t)
t
#s(literal 1 binary64)
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y)))
#s(approx (- (* x 1/2) y) (neg.f64 y))
(neg.f64 y)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 t t)
t
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))
#s(literal 1/48 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 x #s(literal -1/2 binary64) y)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 x #s(literal -1/2 binary64) y))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 z)
z
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 t t)
t
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))
#s(literal 1/48 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)

localize283.0ms (1.3%)

Memory
-17.5MiB live, 265.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
accuracy0.15625
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.23046875
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
accuracy1.2852925792311027
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy0.01171875
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
accuracy0.15625
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy1.2852925792311027
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy18.381023613493372
#s(approx (- (* x 1/2) y) (neg.f64 y))
accuracy0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy0.00390625
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
accuracy0.15625
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy1.429717270025728
#s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
accuracy0
(*.f64 #s(literal 1/2 binary64) x)
accuracy0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy0.1640625
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy1.6638681980345398
#s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
accuracy0.0078125
(sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))
accuracy0.01171875
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))
accuracy0.03291509669805507
(exp.f64 (*.f64 t t))
accuracy0.15234375
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
Samples
102.0ms139×0valid
47.0ms117×1exit
Compiler

Compiled 374 to 48 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-mult: 82.0ms (69% of total)
adjust: 7.0ms (5.9% of total)
ival-sqrt: 6.0ms (5% of total)
ival-exp: 5.0ms (4.2% of total)
ival-add: 4.0ms (3.4% of total)
const: 4.0ms (3.4% of total)
ival-pow: 3.0ms (2.5% of total)
ival-div: 2.0ms (1.7% of total)
ival-sub: 2.0ms (1.7% of total)
ival-neg: 2.0ms (1.7% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series81.0ms (0.4%)

Memory
7.0MiB live, 85.6MiB allocated
Counts
23 → 612
Calls
Call 1
Inputs
#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (patch (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (patch #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x 1/2) y) (neg.f64 y)) (patch #s(approx (- (* x 1/2) y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 t t)) (patch (exp.f64 (*.f64 t t)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) (patch (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor 0 x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor inf x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor inf x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor inf x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor inf x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor 0 y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor inf y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) (taylor inf y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) (taylor inf y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) (taylor inf y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 z) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 z) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 z) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 z) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) (taylor inf z) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) (taylor inf z) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) (taylor inf z) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (taylor 0 t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 t) (#s(alt (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/8 (pow t 2))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/48 (pow t 4)) (taylor inf t) (#s(alt (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) (taylor inf t) (#s(alt (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) (taylor inf t) (#s(alt (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) (taylor inf t) (#s(alt (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/48 (pow t 4)) (taylor -inf t) (#s(alt (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) (taylor -inf t) (#s(alt (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) (taylor -inf t) (#s(alt (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) (taylor -inf t) (#s(alt (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (sqrt 2)) (taylor 0 z) (#s(alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (sqrt 2)) (taylor 0 z) (#s(alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (sqrt 2)) (taylor 0 z) (#s(alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (sqrt 2)) (taylor 0 z) (#s(alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (sqrt 2)) (taylor inf z) (#s(alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (sqrt 2)) (taylor inf z) (#s(alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (sqrt 2)) (taylor inf z) (#s(alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (sqrt 2)) (taylor inf z) (#s(alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf z) (#s(alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf z) (#s(alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf z) (#s(alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf z) (#s(alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
Calls

153 calls:

TimeVariablePointExpression
20.0ms
z
@0
(* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2)))
1.0ms
z
@-inf
(* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2)))
1.0ms
t
@0
(* (- (* x 1/2) y) (sqrt (* (* z 2) (exp (* t t)))))
0.0ms
x
@-inf
(* (- (* x 1/2) y) (sqrt (* (* z 2) (exp (* t t)))))
0.0ms
t
@0
(sqrt (* (* z 2) (exp (* t t))))

simplify549.0ms (2.6%)

Memory
-31.1MiB live, 861.8MiB allocated
Algorithm
egg-herbie
Rules
15 022×lower-fma.f64
15 022×lower-fma.f32
8 216×lower-*.f64
8 216×lower-*.f32
2 974×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03079521
110509087
237988186
371538186
081828106
Stop Event
iter limit
node limit
Counts
612 → 612
Calls
Call 1
Inputs
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(* -1 y)
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
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(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(* -1 y)
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))
1
(+ 1 (pow t 2))
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 z)
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
1/2
(+ 1/2 (* 1/8 (pow t 2)))
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))
(* 1/48 (pow t 4))
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* 1/48 (pow t 4))
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2))))
Outputs
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(fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))
(fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(* 1/48 (pow t 4))
(*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64))))
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(*.f64 (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 t t)))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (*.f64 t t) (*.f64 t t)))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (*.f64 t t) (*.f64 t t)))
(* 1/48 (pow t 4))
(*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64))))
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(*.f64 (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 t t)))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (*.f64 t t) (*.f64 t t)))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (*.f64 t t) (*.f64 t t)))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))

rewrite415.0ms (2%)

Memory
38.8MiB live, 604.1MiB allocated
Rules
7 194×lower-fma.f32
7 186×lower-fma.f64
4 412×lower-*.f32
4 386×lower-*.f64
3 330×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050291
081283
1247279
21382279
08324279
Stop Event
iter limit
node limit
iter limit
Counts
23 → 401
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
#s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
#s(approx (- (* x 1/2) y) (neg.f64 y))
(neg.f64 y)
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 t t))
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
#s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
Outputs
(+.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (neg.f64 y)))
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))))
(fma.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (neg.f64 y)))
(/.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))) (neg.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (neg.f64 y))) (*.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) (-.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (neg.f64 y)))) (-.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (neg.f64 y))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))))) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
(*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y))
(+.f64 (neg.f64 y) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(fma.f64 y #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y))))
(fma.f64 #s(literal -1 binary64) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 x #s(literal 1/2 binary64)))
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(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 z) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
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eval240.0ms (1.1%)

Memory
25.1MiB live, 406.1MiB allocated
Compiler

Compiled 38 616 to 1 687 computations (95.6% saved)

prune331.0ms (1.6%)

Memory
-16.9MiB live, 794.9MiB allocated
Pruning

64 alts after pruning (61 fresh and 3 done)

PrunedKeptTotal
New1 282291 311
Fresh233255
Picked325
Done112
Total1 309641 373
Accuracy
100.0%
Counts
1 373 → 64
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.8%
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
47.4%
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y)))
31.3%
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
30.3%
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
59.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))))
57.6%
(*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
99.5%
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
99.6%
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
59.0%
(*.f64 (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
45.2%
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) #s(approx (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x y))))
87.1%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
99.7%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))))
99.7%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
94.4%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) #s(approx (exp (* t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
88.2%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))
93.1%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(approx (* (* z 2) (exp (* t t))) (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
57.6%
(*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
67.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/2304 binary64)) #s(literal -1/64 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
94.6%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
99.8%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))))
93.2%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
93.2%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
94.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
22.0%
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
7.3%
(*.f64 (*.f64 (*.f64 (/.f64 #s(approx (+ (* x (* x 1/4)) (* y (neg y))) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
30.5%
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64))) y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
31.7%
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64)) y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
32.7%
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 #s(literal 2 binary64) x)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
38.9%
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
55.9%
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
30.2%
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
56.7%
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(approx (- (* x 1/2) y) (neg.f64 y)))
87.1%
(*.f64 (*.f64 #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
30.0%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
62.9%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))))
62.9%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
51.7%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
59.3%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
30.2%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (pow.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
55.9%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
50.3%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
54.8%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
55.7%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(approx (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64))))) #s(literal 1 binary64))))
59.1%
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
59.1%
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
94.3%
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
94.8%
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/48 binary64)) (*.f64 t #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
60.5%
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
64.4%
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
60.5%
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
59.3%
(*.f64 #s(approx (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
79.7%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
55.1%
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
27.4%
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))))) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
59.2%
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
59.2%
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
58.3%
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
31.3%
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
30.3%
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
64.4%
#s(approx (* (- (* x (* x 1/4)) (* y y)) (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
90.0%
#s(approx (* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
55.9%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
30.2%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
30.2%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))))
Compiler

Compiled 4 347 to 1 487 computations (65.8% saved)

regimes487.0ms (2.3%)

Memory
-19.5MiB live, 742.3MiB allocated
Counts
124 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (neg t)) (* t -1/2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
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(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (*.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (neg.f64 (sqrt.f64 z)))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (fma.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64)) y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 (*.f64 (/.f64 #s(approx (+ (* x (* x 1/4)) (* y (neg y))) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/2304 binary64)) #s(literal -1/64 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/2304 binary64)) #s(literal -1/64 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (/.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))))
#s(approx (* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64))) y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 (*.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64)) z)) (neg.f64 y)))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
#s(approx (* (- (* x (* x 1/4)) (* y y)) (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) x) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (pow.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))))
Calls

13 calls:

54.0ms
t
48.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
43.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
42.0ms
x
40.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1t
99.8%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
99.8%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
99.8%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
99.8%1(*.f64 x #s(literal 1/2 binary64))
99.8%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
99.8%1(*.f64 z #s(literal 2 binary64))
99.8%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
99.8%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
99.8%1(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes2.2s (10.2%)

Memory
-1.4MiB live, 662.5MiB allocated
Counts
122 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (neg t)) (* t -1/2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (/ (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (/ 1 (- (* x 1/2) y))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
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(*.f64 (*.f64 (*.f64 (/.f64 #s(approx (+ (* x (* x 1/4)) (* y (neg y))) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/2304 binary64)) #s(literal -1/64 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/2304 binary64)) #s(literal -1/64 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (/.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))))
#s(approx (* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64))) y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 (*.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64)) z)) (neg.f64 y)))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
#s(approx (* (- (* x (* x 1/4)) (* y y)) (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) x) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (pow.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/2 binary64))))
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/2 binary64))))
Calls

13 calls:

895.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
838.0ms
(*.f64 z #s(literal 2 binary64))
60.0ms
(*.f64 t t)
45.0ms
y
39.0ms
t
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1z
99.7%1t
99.7%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
99.7%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
99.7%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
99.7%1(*.f64 x #s(literal 1/2 binary64))
99.7%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
99.7%1(*.f64 z #s(literal 2 binary64))
99.7%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
99.7%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
99.7%1(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes546.0ms (2.6%)

Memory
50.2MiB live, 1 016.5MiB allocated
Counts
121 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (neg t)) (* t -1/2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (/ (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (/ 1 (- (* x 1/2) y))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
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(*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))))
#s(approx (* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64))) y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 (*.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64)) z)) (neg.f64 y)))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
#s(approx (* (- (* x (* x 1/4)) (* y y)) (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) x) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (pow.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))))
Calls

13 calls:

72.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
66.0ms
x
53.0ms
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
41.0ms
z
38.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
99.7%1y
99.7%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
99.7%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
99.7%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
99.7%1x
99.7%1z
99.7%1t
99.7%1(*.f64 x #s(literal 1/2 binary64))
99.7%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
99.7%1(*.f64 z #s(literal 2 binary64))
99.7%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
99.7%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
99.7%1(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes656.0ms (3.1%)

Memory
-17.6MiB live, 911.6MiB allocated
Counts
119 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (neg t)) (* t -1/2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (/ (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (/ 1 (- (* x 1/2) y))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(approx (* (* z 2) (exp (* t t))) (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
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#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 (*.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64)) z)) (neg.f64 y)))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
#s(approx (* (- (* x (* x 1/4)) (* y y)) (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) x) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (pow.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
Calls

13 calls:

148.0ms
(*.f64 z #s(literal 2 binary64))
69.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
60.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
50.0ms
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
43.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1z
99.7%1t
99.7%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
99.7%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
99.7%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
99.7%1(*.f64 x #s(literal 1/2 binary64))
99.7%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
99.7%1(*.f64 z #s(literal 2 binary64))
99.7%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
99.7%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
99.7%1(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes563.0ms (2.7%)

Memory
-3.2MiB live, 596.7MiB allocated
Counts
103 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (neg t)) (* t -1/2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (/ (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (/ 1 (- (* x 1/2) y))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(approx (* (* z 2) (exp (* t t))) (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
(*.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(approx (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64))))) #s(literal 1 binary64))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
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(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 #s(literal 2 binary64) x)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) #s(approx (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x y))))
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(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) #s(approx (exp (* t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/48 binary64)) (*.f64 t #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))))) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
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(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/48 binary64) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))))) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (*.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (neg.f64 (sqrt.f64 z)))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (fma.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64)) y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 (*.f64 (/.f64 #s(approx (+ (* x (* x 1/4)) (* y (neg y))) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/2304 binary64)) #s(literal -1/64 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/2304 binary64)) #s(literal -1/64 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (/.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))))
#s(approx (* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64))) y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 (*.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64)) z)) (neg.f64 y)))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
Calls

13 calls:

126.0ms
t
87.0ms
y
51.0ms
(*.f64 z #s(literal 2 binary64))
43.0ms
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
31.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1z
99.7%1t
99.7%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
99.7%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
99.7%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
99.7%1(*.f64 x #s(literal 1/2 binary64))
99.7%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
99.7%1(*.f64 z #s(literal 2 binary64))
99.7%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
99.7%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
99.7%1(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes445.0ms (2.1%)

Memory
39.5MiB live, 742.1MiB allocated
Counts
102 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (neg t)) (* t -1/2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (/ (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (/ 1 (- (* x 1/2) y))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(approx (* (* z 2) (exp (* t t))) (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
(*.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(approx (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64))))) #s(literal 1 binary64))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(approx (- (* x 1/2) y) (neg.f64 y)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
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(*.f64 #s(approx (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))))) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/48 binary64) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))))) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (*.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (neg.f64 (sqrt.f64 z)))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (fma.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64)) y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 (*.f64 (/.f64 #s(approx (+ (* x (* x 1/4)) (* y (neg y))) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/2304 binary64)) #s(literal -1/64 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/2304 binary64)) #s(literal -1/64 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (/.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))))
#s(approx (* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64))) y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 (*.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64)) z)) (neg.f64 y)))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
Calls

13 calls:

63.0ms
(*.f64 z #s(literal 2 binary64))
47.0ms
(*.f64 t t)
41.0ms
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
35.0ms
z
32.0ms
(*.f64 x #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1z
99.7%1t
99.7%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
99.7%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
99.7%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
99.7%1(*.f64 x #s(literal 1/2 binary64))
99.7%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
99.7%1(*.f64 z #s(literal 2 binary64))
99.7%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
99.7%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
99.7%1(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes524.0ms (2.5%)

Memory
-11.0MiB live, 748.4MiB allocated
Counts
98 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (neg t)) (* t -1/2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (/ (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (/ 1 (- (* x 1/2) y))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
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(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (/.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))))
#s(approx (* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64))) y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 (*.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64)) z)) (neg.f64 y)))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
Calls

13 calls:

137.0ms
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
47.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
44.0ms
(*.f64 z #s(literal 2 binary64))
44.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
31.0ms
(*.f64 t t)
Results
AccuracySegmentsBranch
94.8%1x
94.8%1y
94.8%1z
94.8%1t
94.8%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
94.8%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
94.8%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
94.8%1(*.f64 x #s(literal 1/2 binary64))
94.8%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
94.8%1(*.f64 z #s(literal 2 binary64))
94.8%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
94.8%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
94.8%1(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes221.0ms (1%)

Memory
-22.8MiB live, 449.4MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (neg t)) (* t -1/2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (/ (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (/ 1 (- (* x 1/2) y))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(approx (* (* z 2) (exp (* t t))) (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
(*.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(approx (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64))))) #s(literal 1 binary64))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(approx (- (* x 1/2) y) (neg.f64 y)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 #s(literal 2 binary64) x)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) #s(approx (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x y))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Calls

13 calls:

23.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
18.0ms
t
18.0ms
(*.f64 x #s(literal 1/2 binary64))
17.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
17.0ms
(*.f64 t t)
Results
AccuracySegmentsBranch
94.8%1y
94.8%1t
94.8%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
94.8%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
94.8%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
94.8%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
94.8%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
94.8%1(*.f64 t t)
94.8%1x
94.8%1z
94.8%1(*.f64 x #s(literal 1/2 binary64))
94.8%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
94.8%1(*.f64 z #s(literal 2 binary64))
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes629.0ms (3%)

Memory
0.7MiB live, 199.6MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (neg t)) (* t -1/2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (/ (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (/ 1 (- (* x 1/2) y))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(approx (* (* z 2) (exp (* t t))) (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
(*.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(approx (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64))))) #s(literal 1 binary64))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(approx (- (* x 1/2) y) (neg.f64 y)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (/ (+ (* x (* x 1/4)) (* y (neg y))) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/.f64 #s(literal 2 binary64) x)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) #s(approx (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x y))))
Outputs
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Calls

13 calls:

200.0ms
x
159.0ms
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
93.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
28.0ms
z
26.0ms
(*.f64 z #s(literal 2 binary64))
Results
AccuracySegmentsBranch
94.3%1y
94.3%1t
94.3%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
94.3%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
94.3%1(*.f64 t t)
94.3%1x
94.3%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
94.3%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
94.3%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
94.3%1(*.f64 x #s(literal 1/2 binary64))
94.3%1z
94.3%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
94.3%1(*.f64 z #s(literal 2 binary64))
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes313.0ms (1.5%)

Memory
-32.2MiB live, 213.6MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (neg t)) (* t -1/2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (/ (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (/ 1 (- (* x 1/2) y))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(approx (* (* z 2) (exp (* t t))) (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 #s(approx (exp (* 1/2 (* t t))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
(*.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(approx (* (* z 2) (exp (* t t))) (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
Calls

13 calls:

76.0ms
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
58.0ms
y
37.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
24.0ms
(*.f64 x #s(literal 1/2 binary64))
18.0ms
z
Results
AccuracySegmentsBranch
93.1%1x
93.1%1y
93.1%1z
93.1%1t
93.1%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
93.1%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
93.1%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
93.1%1(*.f64 x #s(literal 1/2 binary64))
93.1%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
93.1%1(*.f64 z #s(literal 2 binary64))
93.1%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
93.1%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
93.1%1(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes292.0ms (1.4%)

Memory
39.6MiB live, 236.7MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (neg t)) (* t -1/2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (/ (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (/ 1 (- (* x 1/2) y))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))
Calls

13 calls:

59.0ms
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
55.0ms
(*.f64 t t)
54.0ms
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
40.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
10.0ms
y
Results
AccuracySegmentsBranch
88.2%1x
88.2%1y
88.2%1t
88.2%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
88.2%1(*.f64 x #s(literal 1/2 binary64))
88.2%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
88.2%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
88.2%1(*.f64 t t)
88.2%1z
88.2%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
88.2%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
88.2%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
88.2%1(*.f64 z #s(literal 2 binary64))
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes77.0ms (0.4%)

Memory
-13.3MiB live, 141.8MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (neg t)) (* t -1/2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (/ (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (/ 1 (- (* x 1/2) y))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (exp (neg t)) (* t -1/2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Outputs
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
Calls

13 calls:

9.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
8.0ms
y
7.0ms
(*.f64 z #s(literal 2 binary64))
6.0ms
(*.f64 t t)
5.0ms
(*.f64 x #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
69.1%3x
66.0%3y
62.4%3z
75.8%2t
72.4%3(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
62.6%3(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
63.1%3(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
69.1%3(*.f64 x #s(literal 1/2 binary64))
62.4%3(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
62.4%3(*.f64 z #s(literal 2 binary64))
75.8%2(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
75.8%2(/.f64 (*.f64 t t) #s(literal 2 binary64))
75.8%2(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes70.0ms (0.3%)

Memory
-15.2MiB live, 105.6MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (neg t)) (* t -1/2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (/ (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (/ 1 (- (* x 1/2) y))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
Outputs
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Calls

13 calls:

11.0ms
z
7.0ms
y
7.0ms
t
5.0ms
(*.f64 x #s(literal 1/2 binary64))
5.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Results
AccuracySegmentsBranch
59.2%1z
59.2%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
59.2%1(*.f64 z #s(literal 2 binary64))
59.2%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
59.2%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
59.2%1y
59.2%1x
59.2%1(*.f64 x #s(literal 1/2 binary64))
59.2%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
59.2%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
59.2%1t
59.2%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
59.2%1(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes27.0ms (0.1%)

Memory
3.3MiB live, 41.7MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Calls

13 calls:

4.0ms
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
2.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
2.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
2.0ms
z
2.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
34.6%2t
31.3%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
38.2%3z
37.3%3(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
37.4%3(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
38.2%3(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
38.2%3(*.f64 z #s(literal 2 binary64))
47.0%3y
39.0%4(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
34.6%2(/.f64 (*.f64 t t) #s(literal 2 binary64))
34.6%2(*.f64 t t)
46.9%3x
46.9%3(*.f64 x #s(literal 1/2 binary64))
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes19.0ms (0.1%)

Memory
0.9MiB live, 39.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Outputs
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Calls

13 calls:

3.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
1.0ms
(*.f64 x #s(literal 1/2 binary64))
1.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
1.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
1.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
30.3%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
30.3%1t
30.3%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
30.3%1(*.f64 t t)
30.3%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
30.3%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
30.3%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
30.3%1z
30.3%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
30.3%1(*.f64 z #s(literal 2 binary64))
30.3%1x
30.3%1(*.f64 x #s(literal 1/2 binary64))
30.3%1y
Compiler

Compiled 112 to 88 computations (21.4% saved)

bsearch20.0ms (0.1%)

Memory
-1.3MiB live, 36.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
6.702689211001181e+64
4.225903822158991e+73
Samples
11.0ms144×0valid
Compiler

Compiled 339 to 256 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (43.1% of total)
ival-sub: 1.0ms (14.4% of total)
ival-div: 1.0ms (14.4% of total)
ival-exp: 1.0ms (14.4% of total)
ival-sqrt: 1.0ms (14.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch42.0ms (0.2%)

Memory
17.2MiB live, 99.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.1604616088424667e+152
3.317602790329043e+156
21.0ms
-0.9412984297283454
-2.287511084339084e-11
Samples
27.0ms288×0valid
Compiler

Compiled 546 to 400 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 9.0ms (53.2% of total)
ival-div: 2.0ms (11.8% of total)
ival-exp: 2.0ms (11.8% of total)
ival-sqrt: 2.0ms (11.8% of total)
ival-sub: 1.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Memory
-17.5MiB live, 21.6MiB allocated
Algorithm
egg-herbie
Rules
66×*-commutative_binary64
sub-neg_binary64
+-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104436
1146436
2151436
3153436
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(approx (* (* z 2) (exp (* t t))) (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 t t) #s(literal 95000000000000002756190624563619161970461914128598179771527987200 binary64)) (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(if (<=.f64 y #s(literal -3098476543630901/18014398509481984 binary64)) (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (if (<=.f64 y #s(literal 119999999999999996246594092101271169770126785907629186463657055843855892901461031595877216007150691583142145804413989531343000667212652606718801564663808 binary64)) (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(approx (* (* z 2) (exp (* t t))) (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 t t) #s(literal 95000000000000002756190624563619161970461914128598179771527987200 binary64)) (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 t t) #s(literal 95000000000000002756190624563619161970461914128598179771527987200 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(if (<=.f64 y #s(literal -3098476543630901/18014398509481984 binary64)) (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (if (<=.f64 y #s(literal 119999999999999996246594092101271169770126785907629186463657055843855892901461031595877216007150691583142145804413989531343000667212652606718801564663808 binary64)) (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(if (<=.f64 y #s(literal -3098476543630901/18014398509481984 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y)))) (if (<=.f64 y #s(literal 119999999999999996246594092101271169770126785907629186463657055843855892901461031595877216007150691583142145804413989531343000667212652606718801564663808 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) #s(approx (- (* 1/2 x) y) (neg.f64 y))))

soundness1.5s (6.9%)

Memory
33.1MiB live, 1 257.0MiB allocated
Rules
18 902×lower-fma.f64
18 902×lower-fma.f32
15 022×lower-fma.f64
15 022×lower-fma.f32
10 608×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03079521
110509087
237988186
371538186
081828106
01543
02441
16340
228540
3234340
0861640
01332071
14461592
215561499
344461496
088511484
050291
081283
1247279
21382279
08324279
058279
096261
1282247
21628247
08285247
087814019
1294612799
0812112371
050011491
115839909
255629452
088309220
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 402 to 745 computations (46.9% saved)

preprocess165.0ms (0.8%)

Memory
0.8MiB live, 230.5MiB allocated
Compiler

Compiled 1 054 to 492 computations (53.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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