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

Time bar (total: 17.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze125.0ms (0.7%)

Memory
2.7MiB live, 254.1MiB 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)

sample2.6s (15.1%)

Memory
-117.8MiB live, 2 049.7MiB allocated
Samples
1.4s8 256×0valid
301.0ms1 992×0invalid
Precisions
Click to see histograms. Total time spent on operations: 934.0ms
ival-mult: 473.0ms (50.7% of total)
ival-exp: 179.0ms (19.2% of total)
ival-sqrt: 115.0ms (12.3% of total)
ival-div: 81.0ms (8.7% of total)
ival-sub: 64.0ms (6.9% of total)
exact: 9.0ms (1% of total)
ival-true: 8.0ms (0.9% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain389.0ms (2.3%)

Memory
15.5MiB live, 331.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-1(-1.7566353505978563e+153 3.5043752405792894e-177 8.683536693374828e+62 -11.206802189252098)(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
Confusion
Predicted +Predicted -
+01
-0255
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+010
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+010
-000
Precision?
1.0
Recall?
1.0
Samples
284.0ms512×0valid
Compiler

Compiled 145 to 49 computations (66.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 153.0ms
ival-mult: 119.0ms (77.7% of total)
ival-exp: 23.0ms (15% of total)
ival-div: 4.0ms (2.6% of total)
ival-sqrt: 4.0ms (2.6% of total)
ival-sub: 3.0ms (2% of total)
exact: 1.0ms (0.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess131.0ms (0.8%)

Memory
-17.3MiB live, 120.4MiB 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 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t)))
Symmetry

(abs t)

Compiler

Compiled 17 to 15 computations (11.8% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.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 17 to 15 computations (11.8% saved)

simplify84.0ms (0.5%)

Memory
-21.3MiB live, 94.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 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) (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))))
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 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (exp.f64 t)) t)
(/.f64 (*.f64 t t) #s(literal 2 binary64))
(*.f64 t t)
t

localize43.0ms (0.2%)

Memory
9.8MiB live, 93.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy0.0078125
(*.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))))
accuracy0.01688253162065376
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
accuracy0.1953125
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Samples
33.0ms256×0valid
Compiler

Compiled 64 to 17 computations (73.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 14.0ms (66.5% of total)
ival-div: 2.0ms (9.5% of total)
ival-exp: 2.0ms (9.5% of total)
ival-sqrt: 2.0ms (9.5% of total)
ival-sub: 1.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series53.0ms (0.3%)

Memory
-0.0MiB live, 38.4MiB allocated
Counts
6 → 144
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)))) (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 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation:binary64>) () ())
#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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #<representation:binary64>) () ())
Outputs
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#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 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#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 (+ (* (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))))))) (taylor 0 t) (#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 (+ (* (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))))))))) (taylor 0 t) (#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 (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 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor inf t) (#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 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor inf t) (#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 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor inf t) (#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 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor inf t) (#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 (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 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor -inf t) (#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 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor -inf t) (#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 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor -inf t) (#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 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor -inf t) (#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 (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>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) (taylor -inf x) (#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 (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) (taylor -inf x) (#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 (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) (taylor -inf x) (#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 (* 1/2 x) (taylor -inf 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 (* x (- (/ y x) 1/2))) (taylor -inf 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 (* x (- (/ y x) 1/2))) (taylor -inf 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 (* x (- (/ y x) 1/2))) (taylor -inf 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) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation:binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
31.0ms
z
@-inf
((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (exp (/ (* t t) 2)) (sqrt (* z 2)))
2.0ms
y
@inf
((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (exp (/ (* t t) 2)) (sqrt (* z 2)))
2.0ms
z
@0
((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (exp (/ (* t t) 2)) (sqrt (* z 2)))
2.0ms
x
@-inf
((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (exp (/ (* t t) 2)) (sqrt (* z 2)))
1.0ms
x
@0
((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (exp (/ (* t t) 2)) (sqrt (* z 2)))

simplify392.0ms (2.3%)

Memory
11.3MiB live, 283.0MiB allocated
Algorithm
egg-herbie
Rules
18 894×lower-fma.f64
18 894×lower-fma.f32
6 254×lower-*.f64
6 254×lower-*.f32
4 660×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01361647
14541644
215881551
344771548
088591536
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* (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)))))))))
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)))))))
(* (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))))
(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 (* 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))))
(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 (* 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) (* (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))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (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) (* (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))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* -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))))))
(* -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 (* (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))))
(* 1/2 (* (* 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))))
(* 1/2 (* (* 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))))
(* 1/2 x)
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(* -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 (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)
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* -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))))))
(* -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)))))
(* -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 (* (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 (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)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 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 (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)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 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 (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)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
Outputs
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(+ (* (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 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 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 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
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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)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* -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 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (/ y x) 1/2)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (* x (- (/ y x) 1/2)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (* x (- (/ y x) 1/2)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))

rewrite400.0ms (2.3%)

Memory
-23.4MiB live, 262.1MiB 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
01545
02443
16342
228542
3234342
0861742
Stop Event
iter limit
node limit
iter limit
Counts
6 → 422
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))
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
Outputs
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (hypot.f64 y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (hypot.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 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 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(*.f64 (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 #s(literal 1/2 binary64) x y)))
(*.f64 (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (hypot.f64 y (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (hypot.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (-.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (neg.f64 y)) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (neg.f64 y))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x))) (-.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x y))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (hypot.f64 y (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))) (neg.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x y))))
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(pow.f64 (exp.f64 t) (+.f64 (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 t) (/.f64 t #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 t) (/.f64 t #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (E.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 (neg.f64 t) t)))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 t) (/.f64 t #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(fabs.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 t))) t))
(exp.f64 (*.f64 (log.f64 (E.f64)) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 t) (neg.f64 t))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (*.f64 t t)))
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) z)))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 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))))
(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 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64)))

eval120.0ms (0.7%)

Memory
28.7MiB live, 139.9MiB allocated
Compiler

Compiled 17 510 to 1 734 computations (90.1% saved)

prune22.0ms (0.1%)

Memory
-20.1MiB live, 61.9MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New55313566
Fresh000
Picked101
Done000
Total55413567
Accuracy
100.0%
Counts
567 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
99.8%
(*.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))))
99.8%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
99.8%
(*.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))))
95.5%
(*.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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
93.5%
(*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
86.4%
(*.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) #s(literal 1/2 binary64) #s(literal 1 binary64))))
57.8%
(*.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)) #s(literal 1 binary64)))
99.7%
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
60.4%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
61.8%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
87.7%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
58.0%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
Compiler

Compiled 468 to 418 computations (10.7% saved)

simplify255.0ms (1.5%)

Memory
-6.3MiB live, 311.9MiB 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) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff320
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 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)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
cost-diff0
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
cost-diff0
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
cost-diff128
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 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
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff0
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
Rules
13 982×lower-fma.f32
13 980×lower-fma.f64
5 602×lower-*.f32
5 570×lower-*.f64
3 314×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048361
077358
1126354
2232354
3688354
42438354
55166354
08246351
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
(-.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 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t))
#s(literal 2 binary64)
(pow.f64 (exp.f64 t) t)
(exp.f64 t)
t
z
(*.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)
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 t t)
t
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
y
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 z)
z
(*.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 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 1/2 binary64)))
(*.f64 (*.f64 t t) #s(literal 1/2 binary64))
(*.f64 t t)
t
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 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)
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))
#s(literal 1 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
#s(literal -1/2 binary64)
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)))))
(-.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 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))
(sqrt.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)
(*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t))
(*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (exp.f64 t) t)
(exp.f64 t)
t
z
(*.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 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.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 (sqrt.f64 (*.f64 z #s(literal 2 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
(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)
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 t t)
t
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 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
y
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 z)
z
(*.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 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) x y))
(*.f64 (-.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 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 1/2 binary64)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(*.f64 (*.f64 t t) #s(literal 1/2 binary64))
(*.f64 t t)
t
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 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) (pow.f64 (E.f64) (*.f64 #s(literal -1/2 binary64) (*.f64 t t)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.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 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)
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 #s(literal -1/2 binary64) (*.f64 t t))))
#s(literal 1 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
#s(literal -1/2 binary64)

localize127.0ms (0.7%)

Memory
10.0MiB live, 199.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))
accuracy0.0078125
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
accuracy0.0859375
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy29.06193237369169
(E.f64)
accuracy0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy0.0078125
(*.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))))
accuracy0.01688253162065376
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
accuracy0.0859375
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy0.00390625
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.140625
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
accuracy0.234375
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))
accuracy1.2639333328112294
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
accuracy0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy0.0078125
(*.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)))
accuracy0.0859375
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy1.5729050834928366
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy0
(exp.f64 t)
accuracy0.00390625
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))
accuracy0.01171875
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)
accuracy0.08984375
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
Samples
42.0ms136×0valid
41.0ms120×0exit
Compiler

Compiled 343 to 41 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 26.0ms (47.4% of total)
ival-pow: 8.0ms (14.6% of total)
ival-sqrt: 7.0ms (12.8% of total)
ival-exp: 5.0ms (9.1% of total)
ival-div: 3.0ms (5.5% of total)
ival-e: 2.0ms (3.6% of total)
ival-sub: 2.0ms (3.6% of total)
ival-add: 1.0ms (1.8% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series332.0ms (1.9%)

Memory
39.6MiB live, 384.6MiB allocated
Counts
22 → 576
Calls
Call 1
Inputs
#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) #<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 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) #<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 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 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) #<representation:binary64>) () ())
#s(alt #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) (patch #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (patch (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) #<representation:binary64>) () ())
#s(alt (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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)))) (exp.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)))) (exp.f64 (*.f64 (*.f64 t t) #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)))) (/.f64 #s(literal 1 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)))) (/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z) (patch (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z) #<representation:binary64>) () ())
#s(alt (exp.f64 t) (patch (exp.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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) #<representation:binary64>) () ())
#s(alt (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (patch (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) #<representation:binary64>) () ())
#s(alt (E.f64) (patch (E.f64) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) #<representation:binary64>) () ())
Outputs
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (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))))))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (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))))))))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt z) (sqrt 2)) (taylor 0 t) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) (taylor 0 t) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z))))))) (taylor 0 t) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z))))))))) (taylor 0 t) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#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 (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#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 (+ (* (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))))))) (taylor 0 t) (#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 (+ (* (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))))))))) (taylor 0 t) (#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 (* (sqrt 2) (- (* 1/2 x) y)) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
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Calls

12 calls:

TimeVariablePointExpression
72.0ms
z
@0
((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (+ (* (* t t) 1/2) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (/ 1 (pow (E) (* (* t t) -1/2)))) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (* (- (* x 1/2) y) (sqrt 2)) (exp (* (* t t) 1/2)) (E) (/ 1 (pow (E) (* (* t t) -1/2))))
28.0ms
z
@-inf
((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (+ (* (* t t) 1/2) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (/ 1 (pow (E) (* (* t t) -1/2)))) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (* (- (* x 1/2) y) (sqrt 2)) (exp (* (* t t) 1/2)) (E) (/ 1 (pow (E) (* (* t t) -1/2))))
19.0ms
z
@inf
((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (+ (* (* t t) 1/2) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (/ 1 (pow (E) (* (* t t) -1/2)))) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (* (- (* x 1/2) y) (sqrt 2)) (exp (* (* t t) 1/2)) (E) (/ 1 (pow (E) (* (* t t) -1/2))))
8.0ms
t
@0
((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (+ (* (* t t) 1/2) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (/ 1 (pow (E) (* (* t t) -1/2)))) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (* (- (* x 1/2) y) (sqrt 2)) (exp (* (* t t) 1/2)) (E) (/ 1 (pow (E) (* (* t t) -1/2))))
7.0ms
y
@inf
((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (+ (* (* t t) 1/2) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (/ 1 (pow (E) (* (* t t) -1/2)))) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (* (- (* x 1/2) y) (sqrt 2)) (exp (* (* t t) 1/2)) (E) (/ 1 (pow (E) (* (* t t) -1/2))))

simplify218.0ms (1.3%)

Memory
-21.3MiB live, 232.8MiB allocated
Algorithm
egg-herbie
Rules
9 106×lower-fma.f64
9 106×lower-fma.f32
8 892×lower-*.f64
8 892×lower-*.f32
1 666×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043910088
116129442
256439098
081678865
Stop Event
iter limit
node limit
Counts
576 → 576
Calls
Call 1
Inputs
(* (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) (sqrt 2))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))
(* (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 2) (- (* 1/2 x) y))
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (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) (* (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))))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (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))))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* 1/2 (pow t 2)))
(* (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) (* (sqrt 2) (- (* 1/2 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))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* -1 (* (* (pow t 2) (+ (* -1/4 (* (pow (log (E)) 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (pow (log (E)) 2) (* (sqrt 2) (- (* 1/2 x) y)))))) (sqrt z))) (* 1/2 (* (sqrt z) (* (log (E)) (* (sqrt 2) (- (* 1/2 x) y))))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (log (E)) (* (sqrt 2) (- (* 1/2 x) y))))) (* (pow t 2) (+ (* -1 (* (sqrt z) (+ (* -1/4 (* (pow (log (E)) 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (pow (log (E)) 2) (* (sqrt 2) (- (* 1/2 x) y))))))) (* -1 (* (* (pow t 2) (+ (* -1/48 (* (pow (log (E)) 3) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/16 (* (pow (log (E)) 3) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (log (E)) (+ (* -1/4 (* (pow (log (E)) 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (pow (log (E)) 2) (* (sqrt 2) (- (* 1/2 x) y)))))))))) (sqrt z))))))))
(* 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)))))))
1
(+ 1 t)
(+ 1 (* t (+ 1 (* 1/2 t))))
(+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 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)))))))
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)))))))
1
(+ 1 (* 1/2 (* (pow t 2) (log (E)))))
(+ 1 (* (pow t 2) (- (* -1 (* (pow t 2) (+ (* -1/4 (pow (log (E)) 2)) (* 1/8 (pow (log (E)) 2))))) (* -1/2 (log (E))))))
(+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ (* -1/48 (pow (log (E)) 3)) (+ (* 1/16 (pow (log (E)) 3)) (* 1/2 (* (log (E)) (+ (* -1/4 (pow (log (E)) 2)) (* 1/8 (pow (log (E)) 2))))))))) (+ (* -1/4 (pow (log (E)) 2)) (* 1/8 (pow (log (E)) 2))))) (* -1/2 (log (E))))))
(* (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))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (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))))
(* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))))
(* (pow t 2) (+ (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))
(* (pow t 2) (+ (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))
(* (pow t 2) (+ (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 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))))
(* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))
(* 1/2 (pow t 2))
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2))))
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2))))
(* (pow t 2) (+ 1/2 (/ 1 (pow t 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))))
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(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/2 x) y)) (exp (* -1/2 (* (pow t 2) (log (E)))))))
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/2 x) y)) (exp (* -1/2 (* (pow t 2) (log (E)))))))
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/2 x) y)) (exp (* -1/2 (* (pow t 2) (log (E)))))))
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/2 x) y)) (exp (* -1/2 (* (pow t 2) (log (E)))))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(exp t)
(exp t)
(exp t)
(exp t)
(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)))
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(exp (* 1/2 (pow t 2)))
(/ 1 (exp (* -1/2 (* (pow t 2) (log (E))))))
(/ 1 (exp (* -1/2 (* (pow t 2) (log (E))))))
(/ 1 (exp (* -1/2 (* (pow t 2) (log (E))))))
(/ 1 (exp (* -1/2 (* (pow t 2) (log (E))))))
(* (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))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (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))))
(* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))))
(* (pow t 2) (+ (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))
(* (pow t 2) (+ (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))
(* (pow t 2) (+ (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 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))))
(* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))
(* 1/2 (pow t 2))
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2))))
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2))))
(* (pow t 2) (+ 1/2 (/ 1 (pow t 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) (/ (* (sqrt 2) (- (* 1/2 x) y)) (exp (* -1/2 (* (pow t 2) (log (E)))))))
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/2 x) y)) (exp (* -1/2 (* (pow t 2) (log (E)))))))
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/2 x) y)) (exp (* -1/2 (* (pow t 2) (log (E)))))))
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/2 x) y)) (exp (* -1/2 (* (pow t 2) (log (E)))))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(exp t)
(exp t)
(exp t)
(exp t)
(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 (exp (* -1/2 (* (pow t 2) (log (E))))))
(/ 1 (exp (* -1/2 (* (pow t 2) (log (E))))))
(/ 1 (exp (* -1/2 (* (pow t 2) (log (E))))))
(/ 1 (exp (* -1/2 (* (pow t 2) (log (E))))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
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(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (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))))
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(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (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) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 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) (/ (* (sqrt 2) (- (* 1/2 x) y)) (exp (* -1/2 (* (pow t 2) (log (E)))))))
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/2 x) y)) (exp (* -1/2 (* (pow t 2) (log (E)))))))
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/2 x) y)) (exp (* -1/2 (* (pow t 2) (log (E)))))))
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/2 x) y)) (exp (* -1/2 (* (pow t 2) (log (E)))))))
(* 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 (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))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
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(* 1/2 x)
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(* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))
(+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))
(+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))
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(* -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 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
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(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))))
(* -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 (* (/ (* y (sqrt 2)) (exp (* -1/2 (* (pow t 2) (log (E)))))) (sqrt z)))
(+ (* -1 (* (/ (* y (sqrt 2)) (exp (* -1/2 (* (pow t 2) (log (E)))))) (sqrt z))) (* 1/2 (* (/ (* x (sqrt 2)) (exp (* -1/2 (* (pow t 2) (log (E)))))) (sqrt z))))
(+ (* -1 (* (/ (* y (sqrt 2)) (exp (* -1/2 (* (pow t 2) (log (E)))))) (sqrt z))) (* 1/2 (* (/ (* x (sqrt 2)) (exp (* -1/2 (* (pow t 2) (log (E)))))) (sqrt z))))
(+ (* -1 (* (/ (* y (sqrt 2)) (exp (* -1/2 (* (pow t 2) (log (E)))))) (sqrt z))) (* 1/2 (* (/ (* x (sqrt 2)) (exp (* -1/2 (* (pow t 2) (log (E)))))) (sqrt z))))
(* -1 (* y (sqrt 2)))
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 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)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 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 (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)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))
(* 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 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))))
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))))
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))))
(* 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 (sqrt 2)) (exp (* -1/2 (* (pow t 2) (log (E)))))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) (* x (exp (* -1/2 (* (pow t 2) (log (E))))))) (sqrt z))) (* 1/2 (* (sqrt z) (/ (sqrt 2) (exp (* -1/2 (* (pow t 2) (log (E))))))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) (* x (exp (* -1/2 (* (pow t 2) (log (E))))))) (sqrt z))) (* 1/2 (* (sqrt z) (/ (sqrt 2) (exp (* -1/2 (* (pow t 2) (log (E))))))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) (* x (exp (* -1/2 (* (pow t 2) (log (E))))))) (sqrt z))) (* 1/2 (* (sqrt z) (/ (sqrt 2) (exp (* -1/2 (* (pow t 2) (log (E))))))))))
(* 1/2 (* x (sqrt 2)))
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (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)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
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(* 1/2 x)
(* 1/2 x)
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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 (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)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(* 1/2 x)
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(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))
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(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x))))
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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)))))
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(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z)))))
(* 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 (sqrt 2)) (exp (* -1/2 (* (pow t 2) (log (E)))))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (/ (sqrt 2) (exp (* -1/2 (* (pow t 2) (log (E)))))))) (* (/ (* y (sqrt 2)) (* x (exp (* -1/2 (* (pow t 2) (log (E))))))) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (/ (sqrt 2) (exp (* -1/2 (* (pow t 2) (log (E)))))))) (* (/ (* y (sqrt 2)) (* x (exp (* -1/2 (* (pow t 2) (log (E))))))) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (/ (sqrt 2) (exp (* -1/2 (* (pow t 2) (log (E)))))))) (* (/ (* y (sqrt 2)) (* x (exp (* -1/2 (* (pow t 2) (log (E))))))) (sqrt z)))))
(* 1/2 (* x (sqrt 2)))
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))
Outputs
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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)))))))
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/4 binary64)) z) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)))))))))
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) z) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/6 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)))) #s(literal 1/2 binary64))))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))
(fma.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))
(fma.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) z (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/6 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)))) #s(literal 1/2 binary64))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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)))))))
(fma.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t t)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 z) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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)))))))))
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 z)) (*.f64 (*.f64 t t) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))))))
(* (sqrt 2) (- (* 1/2 x) y))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
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(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
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(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)) (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 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)) (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 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)) (sqrt.f64 z))))
(* 1/2 (* (/ (* x (sqrt 2)) (exp (* -1/2 (* (pow t 2) (log (E)))))) (sqrt z)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 t t))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (/ (sqrt 2) (exp (* -1/2 (* (pow t 2) (log (E)))))))) (* (/ (* y (sqrt 2)) (* x (exp (* -1/2 (* (pow t 2) (log (E))))))) (sqrt z)))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 t t))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)) (sqrt.f64 z))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (/ (sqrt 2) (exp (* -1/2 (* (pow t 2) (log (E)))))))) (* (/ (* y (sqrt 2)) (* x (exp (* -1/2 (* (pow t 2) (log (E))))))) (sqrt z)))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 t t))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)) (sqrt.f64 z))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (/ (sqrt 2) (exp (* -1/2 (* (pow t 2) (log (E)))))))) (* (/ (* y (sqrt 2)) (* x (exp (* -1/2 (* (pow t 2) (log (E))))))) (sqrt z)))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 t t))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)) (sqrt.f64 z))))
(* 1/2 (* x (sqrt 2)))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)))
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)))
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)))

rewrite286.0ms (1.7%)

Memory
29.6MiB live, 252.7MiB allocated
Rules
5 412×lower-*.f32
5 382×lower-*.f64
5 282×lower-fma.f32
5 280×lower-fma.f64
2 304×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048227
077212
1217209
21038209
08325209
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 244
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))
(*.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))
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(fma.f64 (*.f64 t t) #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)))) (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)))) (/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)
(exp.f64 t)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
(E.f64)
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))
Outputs
(*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)))) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))))) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/4 binary64)))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/4 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/4 binary64)))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/4 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) t) t)) (pow.f64 (pow.f64 (E.f64) #s(literal 1/6 binary64)) (*.f64 t t)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal -1/4 binary64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (neg.f64 (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal -1/4 binary64)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (neg.f64 (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal -1/4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (*.f64 t t))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) #s(literal -1/2 binary64)) (*.f64 t t))))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (*.f64 t t))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) #s(literal -1/2 binary64)) (*.f64 t t))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (*.f64 t t))) (/.f64 (sqrt.f64 z) (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) #s(literal -1/2 binary64)) (*.f64 t t))))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal -1/4 binary64))) (/.f64 (sqrt.f64 z) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (*.f64 t t))) (/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) #s(literal -1/2 binary64)) (*.f64 t t))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal -1/4 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (*.f64 t t))) (pow.f64 (pow.f64 (E.f64) #s(literal 1/6 binary64)) (*.f64 t t)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (*.f64 t t))) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) #s(literal -1/2 binary64)) (*.f64 t t))))
(*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (*.f64 t t))) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) #s(literal -1/2 binary64)) (*.f64 t t))))
(*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal -1/4 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal -1/4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))))) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (sqrt.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (hypot.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(literal -1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (hypot.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (-.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 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)))) (sqrt.f64 z))
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(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(fabs.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(fabs.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)))
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))

eval401.0ms (2.3%)

Memory
-2.2MiB live, 578.7MiB allocated
Compiler

Compiled 58 932 to 3 768 computations (93.6% saved)

prune208.0ms (1.2%)

Memory
-8.7MiB live, 195.3MiB allocated
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New2 308242 332
Fresh718
Picked505
Done000
Total2 320252 345
Accuracy
100.0%
Counts
2 345 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
90.5%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
83.8%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
57.8%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
57.6%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
99.8%
(*.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))))
95.5%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
93.5%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
86.4%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
57.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
59.3%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
56.7%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
60.5%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
31.0%
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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)))
61.9%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
61.9%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
29.9%
(*.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)) #s(literal 1 binary64)))
61.3%
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
59.2%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
31.0%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
29.8%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
58.0%
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
87.8%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #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)))))
53.4%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
86.8%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
Compiler

Compiled 814 to 774 computations (4.9% saved)

simplify231.0ms (1.3%)

Memory
-14.4MiB live, 239.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)))
cost-diff0
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
cost-diff640
(fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
cost-diff1024
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
cost-diff0
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff0
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 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)) #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
16 794×lower-fma.f32
16 788×lower-fma.f64
6 142×lower-*.f32
6 110×lower-*.f64
1 534×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058435
091431
1157431
2289431
3683431
41934428
53712416
66849416
08148414
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 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(-.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 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))))
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))
(*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))
(fma.f64 (*.f64 t t) z z)
(*.f64 t t)
t
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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 t t)
t
#s(literal 1 binary64)
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 z)
z
(fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
y
#s(literal -1/2 binary64)
(neg.f64 y)
#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 (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
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 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
#s(approx (- (* x 1/2) y) (neg.f64 y))
(neg.f64 y)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))) (-.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 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))))
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))
(*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))
(fma.f64 (*.f64 t t) z z)
(*.f64 t t)
t
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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
#s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 t t)
t
#s(literal 1 binary64)
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(sqrt.f64 z)
z
(fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
y
#s(literal -1/2 binary64)
(neg.f64 y)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)

localize167.0ms (1%)

Memory
10.9MiB live, 200.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.24609375
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
accuracy0.645276992015223
(*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
accuracy1.5729050834928366
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy3.159036522015971
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
accuracy0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy0.0078125
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
accuracy0.0859375
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy1.2615587265459658
#s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy0.00390625
(fma.f64 (*.f64 t t) z z)
accuracy0.00390625
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))))
accuracy0.08984375
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
accuracy1.2971863714309273
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))
accuracy0.0078125
(*.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)))
accuracy0.0859375
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy1.5729050834928366
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy16.529292391246624
#s(approx (- (* x 1/2) y) (neg.f64 y))
accuracy0.0078125
(*.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))))
accuracy0.009070031620653759
(pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
accuracy0.0859375
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy29.06193237369169
(E.f64)
Samples
68.0ms136×0valid
53.0ms120×0exit
Compiler

Compiled 351 to 48 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-pow: 40.0ms (42.6% of total)
ival-mult: 27.0ms (28.8% of total)
ival-sqrt: 9.0ms (9.6% of total)
ival-div: 5.0ms (5.3% of total)
ival-exp: 4.0ms (4.3% of total)
ival-add: 3.0ms (3.2% of total)
ival-e: 2.0ms (2.1% of total)
ival-sub: 2.0ms (2.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series261.0ms (1.5%)

Memory
5.1MiB live, 247.6MiB allocated
Counts
26 → 684
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 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))))) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))))) #<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 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))) (patch (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #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)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) (patch (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) #<representation:binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (patch (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #<representation:binary64>) () ())
#s(alt (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) (patch #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #<representation:binary64>) () ())
#s(alt (E.f64) (patch (E.f64) #<representation:binary64>) () ())
#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 #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 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))) (patch #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (*.f64 t t) z z) (patch (fma.f64 (*.f64 t t) z z) #<representation:binary64>) () ())
#s(alt #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation:binary64>) () ())
#s(alt (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #<representation:binary64>) () ())
Outputs
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#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 (* (* (pow t 2) (* (log (E)) (* (sqrt 2) (- (* 1/2 x) y)))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#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 (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (pow (log (E)) 2) (* (sqrt 2) (- (* 1/2 x) y)))) (sqrt z))) (* 1/2 (* (sqrt z) (* (log (E)) (* (sqrt 2) (- (* 1/2 x) y)))))))) (taylor 0 t) (#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 (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (log (E)) (* (sqrt 2) (- (* 1/2 x) y))))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (pow (log (E)) 3) (* (sqrt 2) (- (* 1/2 x) y)))) (sqrt z))) (* 1/8 (* (sqrt z) (* (pow (log (E)) 2) (* (sqrt 2) (- (* 1/2 x) y)))))))))) (taylor 0 t) (#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 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#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 (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#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 (+ (* (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))))))) (taylor 0 t) (#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 (+ (* (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))))))))) (taylor 0 t) (#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 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))))) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))))) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (patch (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #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 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 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 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 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 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 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 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (taylor -inf x) (#s(alt #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) (patch #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) (taylor -inf x) (#s(alt #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) (patch #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) (taylor -inf x) (#s(alt #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) (patch #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) (taylor -inf x) (#s(alt #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) (patch #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z)))))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z)))))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z)))))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
77.0ms
z
@0
((* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (E) (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (/ 1 (pow (E) (* (* t t) -1/2)))) (* (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (neg y)) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (E) (pow (E) (* (* t t) 1/2)) (exp (/ (* t t) 2)) (* (* 2 (pow (exp t) t)) z) (+ (* (* t t) z) z) (/ 1 (pow (E) (* (* t t) -1/2))) (sqrt (* z 2)) (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (* x (sqrt 2)))
40.0ms
y
@-inf
((* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (E) (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (/ 1 (pow (E) (* (* t t) -1/2)))) (* (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (neg y)) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (E) (pow (E) (* (* t t) 1/2)) (exp (/ (* t t) 2)) (* (* 2 (pow (exp t) t)) z) (+ (* (* t t) z) z) (/ 1 (pow (E) (* (* t t) -1/2))) (sqrt (* z 2)) (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (* x (sqrt 2)))
24.0ms
z
@inf
((* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (E) (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (/ 1 (pow (E) (* (* t t) -1/2)))) (* (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (neg y)) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (E) (pow (E) (* (* t t) 1/2)) (exp (/ (* t t) 2)) (* (* 2 (pow (exp t) t)) z) (+ (* (* t t) z) z) (/ 1 (pow (E) (* (* t t) -1/2))) (sqrt (* z 2)) (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (* x (sqrt 2)))
21.0ms
z
@-inf
((* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (E) (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (/ 1 (pow (E) (* (* t t) -1/2)))) (* (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (neg y)) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (E) (pow (E) (* (* t t) 1/2)) (exp (/ (* t t) 2)) (* (* 2 (pow (exp t) t)) z) (+ (* (* t t) z) z) (/ 1 (pow (E) (* (* t t) -1/2))) (sqrt (* z 2)) (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (* x (sqrt 2)))
17.0ms
x
@-inf
((* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (E) (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (/ 1 (pow (E) (* (* t t) -1/2)))) (* (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (neg y)) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (E) (pow (E) (* (* t t) 1/2)) (exp (/ (* t t) 2)) (* (* 2 (pow (exp t) t)) z) (+ (* (* t t) z) z) (/ 1 (pow (E) (* (* t t) -1/2))) (sqrt (* z 2)) (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (* x (sqrt 2)))

simplify191.0ms (1.1%)

Memory
14.9MiB live, 324.2MiB allocated
Algorithm
egg-herbie
Rules
8 422×lower-fma.f64
8 422×lower-fma.f32
7 494×lower-*.f64
7 494×lower-*.f32
1 670×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045310610
116829852
258179492
080779328
Stop Event
iter limit
node limit
Counts
684 → 683
Calls
Call 1
Inputs
(* (sqrt z) (* (sqrt 2) (- (* 1/2 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))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (pow (log (E)) 2) (* (sqrt 2) (- (* 1/2 x) y)))) (sqrt z))) (* 1/2 (* (sqrt z) (* (log (E)) (* (sqrt 2) (- (* 1/2 x) y))))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (log (E)) (* (sqrt 2) (- (* 1/2 x) y))))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (pow (log (E)) 3) (* (sqrt 2) (- (* 1/2 x) y)))) (sqrt z))) (* 1/8 (* (sqrt z) (* (pow (log (E)) 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) (* (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) (sqrt 2))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 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))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* -1 (* (* (pow t 2) (+ (* -1/4 (* (pow (log (E)) 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (pow (log (E)) 2) (* (sqrt 2) (- (* 1/2 x) y)))))) (sqrt z))) (* 1/2 (* (sqrt z) (* (log (E)) (* (sqrt 2) (- (* 1/2 x) y))))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (log (E)) (* (sqrt 2) (- (* 1/2 x) y))))) (* (pow t 2) (+ (* -1 (* (sqrt z) (+ (* -1/4 (* (pow (log (E)) 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (pow (log (E)) 2) (* (sqrt 2) (- (* 1/2 x) y))))))) (* -1 (* (* (pow t 2) (+ (* -1/48 (* (pow (log (E)) 3) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/16 (* (pow (log (E)) 3) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (log (E)) (+ (* -1/4 (* (pow (log (E)) 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (pow (log (E)) 2) (* (sqrt 2) (- (* 1/2 x) y)))))))))) (sqrt z))))))))
(* (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)))))))))
1
(+ 1 (* 1/2 (* (pow t 2) (log (E)))))
(+ 1 (* (pow t 2) (+ (* 1/8 (* (pow t 2) (pow (log (E)) 2))) (* 1/2 (log (E))))))
(+ 1 (* (pow t 2) (+ (* 1/2 (log (E))) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (pow (log (E)) 3))) (* 1/8 (pow (log (E)) 2)))))))
1
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(* 1/2 (* (/ (* x (sqrt 2)) (exp (* -1/2 (* (pow t 2) (log (E)))))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) (* x (exp (* -1/2 (* (pow t 2) (log (E))))))) (sqrt z))) (* 1/2 (* (sqrt z) (/ (sqrt 2) (exp (* -1/2 (* (pow t 2) (log (E))))))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) (* x (exp (* -1/2 (* (pow t 2) (log (E))))))) (sqrt z))) (* 1/2 (* (sqrt z) (/ (sqrt 2) (exp (* -1/2 (* (pow t 2) (log (E))))))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) (* x (exp (* -1/2 (* (pow t 2) (log (E))))))) (sqrt z))) (* 1/2 (* (sqrt z) (/ (sqrt 2) (exp (* -1/2 (* (pow t 2) (log (E))))))))))
(* 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)) y))
(* x (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x)))
(* x (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x)))
(* x (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x)))
(* 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 (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)) y) (sqrt z)))
(* x (+ (* -1/2 (* (/ (sqrt 2) y) (sqrt z))) (* (/ (sqrt 2) x) (sqrt z))))
(* x (+ (* -1/2 (* (/ (sqrt 2) y) (sqrt z))) (* (/ (sqrt 2) x) (sqrt z))))
(* x (+ (* -1/2 (* (/ (sqrt 2) y) (sqrt z))) (* (/ (sqrt 2) x) (sqrt z))))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* 1/2 (* (* x (* (exp (* 1/2 (* (pow t 2) (log (E))))) (sqrt 2))) (sqrt z)))
(* -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)))))
(* -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)))))
(* -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)))))
(* 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)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 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 (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)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 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)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (* (/ (* x (sqrt 2)) (exp (* -1/2 (* (pow t 2) (log (E)))))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (/ (sqrt 2) (exp (* -1/2 (* (pow t 2) (log (E)))))))) (* (/ (* y (sqrt 2)) (* x (exp (* -1/2 (* (pow t 2) (log (E))))))) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (/ (sqrt 2) (exp (* -1/2 (* (pow t 2) (log (E)))))))) (* (/ (* y (sqrt 2)) (* x (exp (* -1/2 (* (pow t 2) (log (E))))))) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (/ (sqrt 2) (exp (* -1/2 (* (pow t 2) (log (E)))))))) (* (/ (* y (sqrt 2)) (* x (exp (* -1/2 (* (pow t 2) (log (E))))))) (sqrt z)))))
(* 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)) y))
(* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y)))))
(* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y)))))
(* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y)))))
(* 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 (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)) y) (sqrt z)))
(* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z))))))
(* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z))))))
(* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z))))))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
Outputs
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (log (E)) (* (sqrt 2) (- (* 1/2 x) y)))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (pow (log (E)) 2) (* (sqrt 2) (- (* 1/2 x) y)))) (sqrt z))) (* 1/2 (* (sqrt z) (* (log (E)) (* (sqrt 2) (- (* 1/2 x) y))))))))
(fma.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (*.f64 t t) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 t t)))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (log (E)) (* (sqrt 2) (- (* 1/2 x) y))))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (pow (log (E)) 3) (* (sqrt 2) (- (* 1/2 x) y)))) (sqrt z))) (* 1/8 (* (sqrt z) (* (pow (log (E)) 2) (* (sqrt 2) (- (* 1/2 x) y))))))))))
(fma.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 z)) (*.f64 (*.f64 t t) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* (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)))))))
(fma.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (*.f64 t t) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 t t)))
(+ (* (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 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 z)) (*.f64 (*.f64 t t) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* (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)))))))
(fma.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/4 binary64)) z) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 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)))))))))
(fma.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) z) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/6 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)))) #s(literal 1/2 binary64))))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))
(fma.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))
(fma.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) z (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/6 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)))) #s(literal 1/2 binary64))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (log (E)) (* (sqrt 2) (- (* 1/2 x) y)))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* -1 (* (* (pow t 2) (+ (* -1/4 (* (pow (log (E)) 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (pow (log (E)) 2) (* (sqrt 2) (- (* 1/2 x) y)))))) (sqrt z))) (* 1/2 (* (sqrt z) (* (log (E)) (* (sqrt 2) (- (* 1/2 x) y))))))))
(fma.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (*.f64 t t) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 t t)))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (log (E)) (* (sqrt 2) (- (* 1/2 x) y))))) (* (pow t 2) (+ (* -1 (* (sqrt z) (+ (* -1/4 (* (pow (log (E)) 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (pow (log (E)) 2) (* (sqrt 2) (- (* 1/2 x) y))))))) (* -1 (* (* (pow t 2) (+ (* -1/48 (* (pow (log (E)) 3) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/16 (* (pow (log (E)) 3) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (log (E)) (+ (* -1/4 (* (pow (log (E)) 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (pow (log (E)) 2) (* (sqrt 2) (- (* 1/2 x) y)))))))))) (sqrt z))))))))
(fma.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (neg.f64 (sqrt.f64 z)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/8 binary64))) #s(literal 1/2 binary64))) (*.f64 t t))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
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(* -1 (* x (+ (* -1/2 (* (sqrt z) (/ (sqrt 2) (exp (* -1/2 (* (pow t 2) (log (E)))))))) (* (/ (* y (sqrt 2)) (* x (exp (* -1/2 (* (pow t 2) (log (E))))))) (sqrt z)))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 t t))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)) (sqrt.f64 z))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (/ (sqrt 2) (exp (* -1/2 (* (pow t 2) (log (E)))))))) (* (/ (* y (sqrt 2)) (* x (exp (* -1/2 (* (pow t 2) (log (E))))))) (sqrt z)))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 t t))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)) (sqrt.f64 z))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (/ (sqrt 2) (exp (* -1/2 (* (pow t 2) (log (E)))))))) (* (/ (* y (sqrt 2)) (* x (exp (* -1/2 (* (pow t 2) (log (E))))))) (sqrt z)))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 t t))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)) (sqrt.f64 z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(* -1/2 (/ (* x (sqrt 2)) y))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64))
(* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y)))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) x)
(* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y)))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) x)
(* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y)))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) x)
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* -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 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)) (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 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)) (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 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)) (sqrt.f64 z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y))
(* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z))))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) x)
(* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z))))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) x)
(* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z))))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) x)
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))

rewrite207.0ms (1.2%)

Memory
1.1MiB live, 306.9MiB allocated
Rules
4 270×lower-*.f32
4 238×lower-*.f64
4 238×lower-fma.f32
4 232×lower-fma.f64
3 356×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058323
091318
1279308
21497307
08239307
Stop Event
iter limit
node limit
iter limit
Counts
26 → 540
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 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z 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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)))
(E.f64)
(pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))
(fma.f64 (*.f64 t t) z z)
#s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
Outputs
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 t) t) z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 t) t) z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y))) #s(literal -1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 t) t) z) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(*.f64 (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 t) t) z) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 t) t) z) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x y)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 t) t) z) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 t) t) z) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x y))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 t) t) z) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 t) t) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 t) t) z) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 t) t) z) #s(literal 2 binary64))))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) t) t))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y))) #s(literal -1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))))))
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(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)))
(fma.f64 (sqrt.f64 z) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(fma.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (/.f64 (*.f64 #s(literal 2 binary64) z) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(+.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))

eval367.0ms (2.1%)

Memory
67.5MiB live, 477.3MiB allocated
Compiler

Compiled 34 939 to 2 610 computations (92.5% saved)

prune101.0ms (0.6%)

Memory
-80.3MiB live, 165.2MiB allocated
Pruning

32 alts after pruning (31 fresh and 1 done)

PrunedKeptTotal
New1 440181 458
Fresh71320
Picked415
Done000
Total1 451321 483
Accuracy
100.0%
Counts
1 483 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.8%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
98.5%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
90.5%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
80.5%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t z) t z) #s(literal 2 binary64)))))
57.8%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
95.5%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (E) (* (* t t) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
93.5%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (pow (E) (* (* t t) 1/2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
29.8%
(*.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)))
30.2%
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
28.3%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.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)))
59.3%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
56.7%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
60.5%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
60.5%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
48.4%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
31.0%
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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)))
29.8%
(*.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)) #s(literal 1 binary64)))
61.9%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
61.9%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
52.0%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
58.7%
(*.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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
57.2%
(*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
29.9%
(*.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)) #s(literal 1 binary64)))
87.8%
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
61.3%
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
49.1%
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
50.6%
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
90.9%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
32.5%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
31.0%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
58.0%
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
53.4%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
Compiler

Compiled 1 083 to 1 009 computations (6.8% saved)

simplify371.0ms (2.1%)

Memory
36.4MiB live, 195.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64))))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))
cost-diff0
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y)))
cost-diff0
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff0
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
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 #s(literal 2 binary64)))
cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
cost-diff0
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
cost-diff0
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff0
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
cost-diff0
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff0
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
Rules
12 200×lower-fma.f32
12 198×lower-fma.f64
3 126×lower-*.f32
3 092×lower-*.f64
1 390×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065485
096480
1154480
2261480
3564480
4934475
51145475
61633475
72564475
84183475
95447475
106159475
116242475
126274475
136297475
146690475
156753475
167085475
177465475
187549475
197549475
207943475
08119470
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(-.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 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)
(*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))
#s(literal 2 binary64)
(pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)
#s(approx (exp t) (+.f64 #s(literal 1 binary64) t))
(+.f64 #s(literal 1 binary64) t)
#s(literal 1 binary64)
t
z
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(-.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 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (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
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 z)
z
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 t t)
t
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y)))
(*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))
(*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64))))
(sqrt.f64 z)
z
#s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64))
(/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
y
#s(literal -1/2 binary64)
(neg.f64 y)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (-.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 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))
(sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)
(*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))
(*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))
(*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)
#s(approx (exp t) (+.f64 #s(literal 1 binary64) t))
(+.f64 #s(literal 1 binary64) t)
#s(literal 1 binary64)
t
z
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (-.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 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)
z
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 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
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 z)
z
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #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(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
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 t t)
t
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)
z
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64))) (sqrt.f64 z)))))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y)))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64))) (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))
(*.f64 (neg.f64 y) (*.f64 #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64))) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64))))
(*.f64 #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64))) (sqrt.f64 z))
(sqrt.f64 z)
z
#s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64))
(/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
y
#s(literal -1/2 binary64)
(neg.f64 y)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)

localize189.0ms (1.1%)

Memory
-28.4MiB live, 166.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.2062652067454485
(*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64))))
accuracy6.1059227656057224
(*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))
accuracy30.63540508349284
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy33.120160289479905
#s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))
accuracy0.00390625
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy0.00390625
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
accuracy0.08984375
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
accuracy15.180495790264292
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.5
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))
accuracy0.5109404053093738
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
accuracy26.925758839481375
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
accuracy0
(*.f64 #s(literal 1/2 binary64) x)
accuracy0.00390625
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))
accuracy0.08984375
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
accuracy30.45235565089122
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))
accuracy0.00390625
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))
accuracy0.01171875
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)
accuracy0.08984375
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
accuracy29.90273543198785
#s(approx (exp t) (+.f64 #s(literal 1 binary64) t))
Samples
122.0ms256×0valid
Compiler

Compiled 334 to 45 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 40.0ms (59.3% of total)
ival-sqrt: 8.0ms (11.9% of total)
ival-pow: 5.0ms (7.4% of total)
ival-exp: 4.0ms (5.9% of total)
ival-div: 3.0ms (4.4% of total)
ival-add: 3.0ms (4.4% of total)
ival-sub: 2.0ms (3% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series188.0ms (1.1%)

Memory
35.0MiB live, 154.6MiB allocated
Counts
24 → 660
Calls
Call 1
Inputs
#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) #<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 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)) #<representation:binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))) (patch (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))) #<representation:binary64>) () ())
#s(alt #s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (patch #s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #<representation:binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #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 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) #<representation:binary64>) () ())
#s(alt (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (patch (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #<representation:binary64>) () ())
#s(alt (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) (patch #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y)) (patch (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y)) #<representation:binary64>) () ())
#s(alt (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (patch (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) #<representation:binary64>) () ())
#s(alt #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) (patch #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z) (patch (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z) #<representation:binary64>) () ())
#s(alt #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)) (patch #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)) #<representation:binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64))) (patch #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #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>) () ())
Outputs
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z)))))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (patch (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 (/ (* x (sqrt 2)) y)) (taylor -inf x) (#s(alt #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64))) (patch #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64))) (patch #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64))) (patch #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64))) (patch #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
33.0ms
y
@inf
((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (* (- (* x 1/2) y) (sqrt 2)) (- (* x 1/2) y) (* (- (* 1/2 x) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (neg y)) (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (exp t) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (sqrt 2) (exp (/ (* t t) 2)) (+ (* (* t t) 1/2) 1) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (exp (/ (* t t) 2)))
18.0ms
z
@inf
((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (* (- (* x 1/2) y) (sqrt 2)) (- (* x 1/2) y) (* (- (* 1/2 x) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (neg y)) (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (exp t) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (sqrt 2) (exp (/ (* t t) 2)) (+ (* (* t t) 1/2) 1) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (exp (/ (* t t) 2)))
13.0ms
z
@0
((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (* (- (* x 1/2) y) (sqrt 2)) (- (* x 1/2) y) (* (- (* 1/2 x) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (neg y)) (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (exp t) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (sqrt 2) (exp (/ (* t t) 2)) (+ (* (* t t) 1/2) 1) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (exp (/ (* t t) 2)))
12.0ms
z
@-inf
((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (* (- (* x 1/2) y) (sqrt 2)) (- (* x 1/2) y) (* (- (* 1/2 x) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (neg y)) (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (exp t) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (sqrt 2) (exp (/ (* t t) 2)) (+ (* (* t t) 1/2) 1) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (exp (/ (* t t) 2)))
4.0ms
x
@-inf
((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (* (- (* x 1/2) y) (sqrt 2)) (- (* x 1/2) y) (* (- (* 1/2 x) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (neg y)) (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (exp t) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (sqrt 2) (exp (/ (* t t) 2)) (+ (* (* t t) 1/2) 1) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (exp (/ (* t t) 2)))

simplify407.0ms (2.4%)

Memory
-2.0MiB live, 313.3MiB allocated
Algorithm
egg-herbie
Rules
13 432×lower-fma.f64
13 432×lower-fma.f32
7 474×lower-*.f64
7 474×lower-*.f32
2 278×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03199962
111019714
239568787
371418781
084288635
Stop Event
iter limit
node limit
Counts
660 → 660
Calls
Call 1
Inputs
(* (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) (sqrt 2))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))
(* (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) (sqrt 2))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))
(* (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) (* (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) (sqrt 2))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2))))))))
(* (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)))))))))
1
(+ 1 t)
(+ 1 (* t (+ 1 (* 1/2 t))))
(+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t))))))
(* 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)
(+ (* 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)))))))
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)))))))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* 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)))))))
(* (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))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 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))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 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 (* 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)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))
(* (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))))
(exp t)
(exp t)
(exp t)
(exp t)
(* 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))))
(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 (pow t 2))
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2))))
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2))))
(* (pow t 2) (+ 1/2 (/ 1 (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) (- (* 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))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 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))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 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 (* 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)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))
(* (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))))
(exp t)
(exp t)
(exp t)
(exp t)
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
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(* -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 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -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)))))
(* -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)))))
(* -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)))))
(* -1 (* y (sqrt 2)))
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))
(* -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 (* (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))))))
(* -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))))))
(* -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)))))
(* -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 (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))
(+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))
(+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))
(sqrt 2)
(+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))
(+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))
(+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))
(* -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 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -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 (* (* 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 (* (* 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 (* y (sqrt 2)))
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))
(* -1 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) 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 (* (* 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 (* (* 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 (* (* 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))))
(* (sqrt z) (sqrt 2))
(+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))
(+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))
(+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))
(sqrt 2)
(+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))
(+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))
(+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))
(* 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)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 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))))))
(* 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)))
(* 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)))
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 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)))
(* 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 (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)))
(* 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)) y) (sqrt z)))
(* x (+ (* -1/2 (* (/ (sqrt 2) y) (sqrt z))) (* (/ (sqrt 2) x) (sqrt z))))
(* x (+ (* -1/2 (* (/ (sqrt 2) y) (sqrt z))) (* (/ (sqrt 2) x) (sqrt z))))
(* x (+ (* -1/2 (* (/ (sqrt 2) y) (sqrt z))) (* (/ (sqrt 2) x) (sqrt z))))
(* -1/2 (/ (* x (sqrt 2)) y))
(* x (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x)))
(* x (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x)))
(* x (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x)))
(* 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)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 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 (* 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)))
(* -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)))
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) 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 (* (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 (* 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 (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 (* 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)) y) (sqrt z)))
(* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z))))))
(* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z))))))
(* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z))))))
(* -1/2 (/ (* x (sqrt 2)) y))
(* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y)))))
(* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y)))))
(* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y)))))
Outputs
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(+ (* (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)))))))
(fma.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 t #s(literal 1/2 binary64)) t) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/4 binary64)) z) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 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)))))))))
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) z (*.f64 (*.f64 z #s(literal 1/24 binary64)) (*.f64 t t)))))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
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(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) x)
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) x)
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) x)
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) x)
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) x)
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) x)
(* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))
(*.f64 (/.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z))) y) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z))))))
(*.f64 (*.f64 (sqrt.f64 z) x) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z))))))
(*.f64 (*.f64 (sqrt.f64 z) x) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z))))))
(*.f64 (*.f64 (sqrt.f64 z) x) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(* -1/2 (/ (* x (sqrt 2)) y))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64))
(* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y)))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) x)
(* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y)))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) x)
(* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y)))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) x)

rewrite201.0ms (1.2%)

Memory
8.5MiB live, 356.9MiB allocated
Rules
4 930×lower-fma.f32
4 928×lower-fma.f64
4 796×lower-*.f32
4 762×lower-*.f64
4 166×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065376
096369
1250369
21157369
08527364
Stop Event
iter limit
node limit
iter limit
Counts
24 → 363
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y)))
(*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))
(*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64))))
#s(approx (exp t) (+.f64 #s(literal 1 binary64) t))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))
(sqrt.f64 #s(literal 2 binary64))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
Outputs
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal -1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y)))) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(literal -1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) #s(literal 2 binary64)))) (sqrt.f64 z))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))))) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (neg.f64 y)))) (-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (neg.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (-.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (neg.f64 y))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (neg.f64 y))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (fma.f64 (*.f64 x 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)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))))
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eval220.0ms (1.3%)

Memory
32.4MiB live, 449.0MiB allocated
Compiler

Compiled 27 933 to 1 842 computations (93.4% saved)

prune108.0ms (0.6%)

Memory
-21.5MiB live, 209.3MiB allocated
Pruning

36 alts after pruning (34 fresh and 2 done)

PrunedKeptTotal
New1 192161 208
Fresh81826
Picked325
Done101
Total1 204361 240
Accuracy
100.0%
Counts
1 240 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.8%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
93.5%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
86.8%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
90.5%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
80.5%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t z) t z) #s(literal 2 binary64)))))
57.8%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
29.8%
(*.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)))
28.3%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.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)))
56.7%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
60.5%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
60.5%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
48.4%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
61.9%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
61.9%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
52.0%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
58.7%
(*.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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
57.2%
(*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
87.8%
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #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))))
59.3%
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
48.8%
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
61.3%
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
60.3%
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
49.1%
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
31.0%
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
53.1%
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
62.7%
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
50.6%
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
29.9%
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
90.9%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
51.7%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
32.5%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
31.0%
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
30.2%
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
31.0%
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))
29.8%
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
53.4%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
Compiler

Compiled 1 853 to 800 computations (56.8% saved)

regimes403.0ms (2.3%)

Memory
-2.1MiB live, 784.0MiB allocated
Counts
72 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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 (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z 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)) #s(literal 1 binary64)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t z) t z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (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 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #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 (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (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) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 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 (-.f64 #s(literal 0 binary64) (*.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)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (E) (* (* t t) 1/2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (E) (* (* t t) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #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) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (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))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 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 2 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) (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)))) (/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
Calls

13 calls:

57.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
43.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
42.0ms
x
41.0ms
(*.f64 x #s(literal 1/2 binary64))
37.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1t
99.9%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))))
99.9%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
99.9%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
99.9%1(*.f64 x #s(literal 1/2 binary64))
99.9%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
99.9%1(*.f64 z #s(literal 2 binary64))
99.9%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
99.9%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
99.9%1(*.f64 t t)
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes302.0ms (1.8%)

Memory
14.2MiB live, 448.4MiB allocated
Counts
71 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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 (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z 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)) #s(literal 1 binary64)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t z) t z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (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 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #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 (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (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) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 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 (-.f64 #s(literal 0 binary64) (*.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)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (E) (* (* t t) 1/2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (E) (* (* t t) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #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) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (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))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 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 2 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) (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)))) (/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
Calls

13 calls:

40.0ms
(*.f64 t t)
33.0ms
(*.f64 z #s(literal 2 binary64))
23.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
23.0ms
x
23.0ms
z
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 60 to 88 computations (-46.7% saved)

regimes358.0ms (2.1%)

Memory
-14.9MiB live, 424.4MiB allocated
Counts
67 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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 (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z 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)) #s(literal 1 binary64)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t z) t z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (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 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #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 (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (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) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 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 (-.f64 #s(literal 0 binary64) (*.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)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (E) (* (* t t) 1/2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (E) (* (* t t) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #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) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (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))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 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 2 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) (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)))) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
Calls

13 calls:

57.0ms
z
53.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
30.0ms
y
30.0ms
x
25.0ms
(exp.f64 (/.f64 (*.f64 t t) #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 60 to 88 computations (-46.7% saved)

regimes263.0ms (1.5%)

Memory
15.9MiB live, 440.2MiB allocated
Counts
63 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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 (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z 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)) #s(literal 1 binary64)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t z) t z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (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 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #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 (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (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) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 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 (-.f64 #s(literal 0 binary64) (*.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)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (E) (* (* t t) 1/2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (E) (* (* t t) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #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) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (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:

32.0ms
(*.f64 x #s(literal 1/2 binary64))
27.0ms
z
21.0ms
x
20.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
19.0ms
t
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 60 to 88 computations (-46.7% saved)

regimes278.0ms (1.6%)

Memory
13.5MiB live, 507.1MiB allocated
Counts
62 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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 (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z 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)) #s(literal 1 binary64)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t z) t z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (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 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #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 (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (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) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 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 (-.f64 #s(literal 0 binary64) (*.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)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (E) (* (* t t) 1/2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (E) (* (* t t) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #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) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (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 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
Calls

13 calls:

45.0ms
(*.f64 x #s(literal 1/2 binary64))
29.0ms
z
22.0ms
x
21.0ms
y
21.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
98.5%1x
98.5%1y
98.5%1z
98.5%1t
98.5%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))))
98.5%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
98.5%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
98.5%1(*.f64 x #s(literal 1/2 binary64))
98.5%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
98.5%1(*.f64 z #s(literal 2 binary64))
98.5%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
98.5%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
98.5%1(*.f64 t t)
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes275.0ms (1.6%)

Memory
-25.5MiB live, 400.7MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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 (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z 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)) #s(literal 1 binary64)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t z) t z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (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 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #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 (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (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) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 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 (-.f64 #s(literal 0 binary64) (*.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)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (E) (* (* t t) 1/2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (E) (* (* t t) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #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) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
Calls

13 calls:

50.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
25.0ms
(*.f64 t t)
24.0ms
(*.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))))
21.0ms
y
20.0ms
(*.f64 x #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
95.8%1x
95.8%1y
95.8%1z
95.8%1t
95.8%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))))
95.8%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
95.8%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
95.8%1(*.f64 x #s(literal 1/2 binary64))
95.8%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
95.8%1(*.f64 z #s(literal 2 binary64))
95.8%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
95.8%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
95.8%1(*.f64 t t)
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes314.0ms (1.8%)

Memory
-17.5MiB live, 280.6MiB allocated
Counts
52 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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 (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z 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)) #s(literal 1 binary64)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t z) t z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (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 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #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 (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (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) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 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 (-.f64 #s(literal 0 binary64) (*.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)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (E) (* (* t t) 1/2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (E) (* (* t t) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
Calls

13 calls:

51.0ms
(*.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))))
50.0ms
z
37.0ms
y
31.0ms
(*.f64 x #s(literal 1/2 binary64))
24.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
95.5%1x
95.5%1z
95.5%1t
95.5%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))))
95.5%1(*.f64 x #s(literal 1/2 binary64))
95.5%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
95.5%1(*.f64 z #s(literal 2 binary64))
95.5%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
95.5%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
95.5%1(*.f64 t t)
95.5%1y
95.5%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
95.5%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes2.5s (14.6%)

Memory
26.4MiB live, 405.7MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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 (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z 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)) #s(literal 1 binary64)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t z) t z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (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 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #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 (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (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) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 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 (-.f64 #s(literal 0 binary64) (*.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)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (E) (* (* t t) 1/2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
Calls

13 calls:

1.3s
(/.f64 (*.f64 t t) #s(literal 2 binary64))
864.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
90.0ms
t
47.0ms
(*.f64 x #s(literal 1/2 binary64))
45.0ms
(*.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))))
Results
AccuracySegmentsBranch
93.5%1x
93.5%1z
93.5%1t
93.5%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))))
93.5%1(*.f64 x #s(literal 1/2 binary64))
93.5%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
93.5%1(*.f64 z #s(literal 2 binary64))
93.5%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
93.5%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
93.5%1(*.f64 t t)
93.5%1y
93.5%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
93.5%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes169.0ms (1%)

Memory
1.6MiB live, 334.2MiB allocated
Counts
43 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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 (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z 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)) #s(literal 1 binary64)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t z) t z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (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 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #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 (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (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) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 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 (-.f64 #s(literal 0 binary64) (*.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)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
Calls

13 calls:

18.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
14.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
14.0ms
t
14.0ms
y
13.0ms
(*.f64 z #s(literal 2 binary64))
Results
AccuracySegmentsBranch
90.5%1x
90.5%1y
90.5%1z
90.5%1t
90.5%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))))
90.5%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
90.5%1(*.f64 x #s(literal 1/2 binary64))
90.5%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
90.5%1(*.f64 z #s(literal 2 binary64))
90.5%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
90.5%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
90.5%1(*.f64 t t)
90.5%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes157.0ms (0.9%)

Memory
-29.3MiB live, 291.3MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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 (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z 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)) #s(literal 1 binary64)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t z) t z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (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 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #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 (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (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) #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 (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 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 (-.f64 #s(literal 0 binary64) (*.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)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
Outputs
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #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:

14.0ms
x
14.0ms
(*.f64 z #s(literal 2 binary64))
14.0ms
(*.f64 x #s(literal 1/2 binary64))
12.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
12.0ms
(*.f64 t t)
Results
AccuracySegmentsBranch
87.8%1t
87.8%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
87.8%1(*.f64 t t)
87.8%1y
87.8%1z
87.8%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
87.8%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
87.8%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
87.8%1(*.f64 z #s(literal 2 binary64))
87.8%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
87.8%1x
87.8%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))))
87.8%1(*.f64 x #s(literal 1/2 binary64))
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes252.0ms (1.5%)

Memory
34.9MiB live, 153.7MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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 (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z 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)) #s(literal 1 binary64)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t z) t z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (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 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
Outputs
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
Calls

13 calls:

58.0ms
z
57.0ms
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
54.0ms
(*.f64 x #s(literal 1/2 binary64))
8.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
8.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Results
AccuracySegmentsBranch
86.8%1x
86.8%1y
86.8%1z
86.8%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))))
86.8%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
86.8%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
86.8%1(*.f64 x #s(literal 1/2 binary64))
86.8%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
86.8%1(*.f64 z #s(literal 2 binary64))
86.8%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
86.8%1t
86.8%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
86.8%1(*.f64 t t)
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes265.0ms (1.5%)

Memory
-10.5MiB live, 190.7MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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 (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z 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)) #s(literal 1 binary64)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t z) t z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
Calls

13 calls:

57.0ms
z
52.0ms
(*.f64 t t)
51.0ms
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
25.0ms
(*.f64 x #s(literal 1/2 binary64))
13.0ms
(*.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))))
Results
AccuracySegmentsBranch
83.8%1x
83.8%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))))
83.8%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
83.8%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
83.8%1(*.f64 x #s(literal 1/2 binary64))
83.8%1y
83.8%1z
83.8%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
83.8%1(*.f64 z #s(literal 2 binary64))
83.8%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
83.8%1t
83.8%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
83.8%1(*.f64 t t)
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes120.0ms (0.7%)

Memory
-14.1MiB live, 223.8MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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 (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z 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)) #s(literal 1 binary64)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (/ 1 (pow (E) (* (* t t) -1/2))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
Calls

13 calls:

35.0ms
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
8.0ms
x
8.0ms
(*.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))))
7.0ms
(*.f64 z #s(literal 2 binary64))
7.0ms
(*.f64 x #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
69.4%3x
61.2%3z
78.1%2t
62.3%3(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
69.4%3(*.f64 x #s(literal 1/2 binary64))
61.2%3(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
61.2%3(*.f64 z #s(literal 2 binary64))
78.1%2(/.f64 (*.f64 t t) #s(literal 2 binary64))
78.1%2(*.f64 t t)
72.2%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))))
61.3%3(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
77.0%2(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
74.5%3y
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes23.0ms (0.1%)

Memory
24.9MiB live, 64.0MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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 (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z 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)) #s(literal 1 binary64)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
Calls

4 calls:

6.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
6.0ms
t
5.0ms
(*.f64 t t)
4.0ms
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
74.5%2(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
75.5%2t
75.5%2(/.f64 (*.f64 t t) #s(literal 2 binary64))
75.5%2(*.f64 t t)
Compiler

Compiled 15 to 24 computations (-60% saved)

regimes45.0ms (0.3%)

Memory
-3.0MiB live, 116.8MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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 (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt 2)) (sqrt z)) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
Calls

13 calls:

6.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
5.0ms
(*.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))))
4.0ms
(*.f64 t t)
3.0ms
(*.f64 z #s(literal 2 binary64))
3.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
57.8%1z
57.8%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
57.8%1(*.f64 z #s(literal 2 binary64))
57.8%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
57.8%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
57.8%1x
57.8%1(*.f64 x #s(literal 1/2 binary64))
57.8%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))))
57.8%1y
57.8%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
57.8%1t
57.8%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
57.8%1(*.f64 t t)
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes28.0ms (0.2%)

Memory
-8.2MiB live, 70.4MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.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 (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
Calls

13 calls:

4.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
3.0ms
x
2.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
2.0ms
(*.f64 x #s(literal 1/2 binary64))
2.0ms
y
Results
AccuracySegmentsBranch
36.5%3t
35.6%3(/.f64 (*.f64 t t) #s(literal 2 binary64))
35.6%3(*.f64 t t)
44.5%3x
44.5%3(*.f64 x #s(literal 1/2 binary64))
35.3%2(*.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))))
36.1%2(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
48.9%3y
35.3%2z
35.3%2(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
35.3%2(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
35.3%2(*.f64 z #s(literal 2 binary64))
31.0%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes18.0ms (0.1%)

Memory
15.3MiB live, 54.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

13 calls:

2.0ms
(*.f64 z #s(literal 2 binary64))
1.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
1.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
1.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
1.0ms
(*.f64 x #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
29.9%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
29.9%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
29.9%1(*.f64 t t)
29.9%1t
29.9%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
29.9%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))))
29.9%1z
29.9%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
29.9%1(*.f64 z #s(literal 2 binary64))
29.9%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
29.9%1x
29.9%1(*.f64 x #s(literal 1/2 binary64))
29.9%1y
Compiler

Compiled 60 to 88 computations (-46.7% saved)

bsearch25.0ms (0.1%)

Memory
-22.5MiB live, 24.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
1.137891088023797e+122
8.219485346902205e+123
Samples
8.0ms112×0valid
Compiler

Compiled 195 to 225 computations (-15.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (54.3% of total)
ival-sub: 1.0ms (18.1% of total)
ival-div: 1.0ms (18.1% of total)
ival-exp: 1.0ms (18.1% of total)
ival-sqrt: 1.0ms (18.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
3.0ms
1.137891088023797e+122
8.219485346902205e+123
Samples
1.0ms16×0valid
Compiler

Compiled 181 to 204 computations (-12.7% saved)

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

bsearch151.0ms (0.9%)

Memory
-16.8MiB live, 60.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
5.6417570096086936e-67
2.073742092476165e-65
17.0ms
-4.377876972140403e+39
-4.217282054227425e+35
Samples
21.0ms240×0valid
Compiler

Compiled 305 to 397 computations (-30.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 8.0ms (54.4% of total)
ival-div: 2.0ms (13.6% of total)
ival-exp: 2.0ms (13.6% of total)
ival-sqrt: 2.0ms (13.6% of total)
ival-sub: 1.0ms (6.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify37.0ms (0.2%)

Memory
36.5MiB live, 76.4MiB allocated
Algorithm
egg-herbie
Rules
66×*-commutative-binary64-*.f64
+-commutative-binary64-+.f64
sub-neg-binary64-neg.f64-+.f64--.f64
1-exp-binary32-exp.f32
e-exp-1-binary64-exp.f64-E.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111529
1161529
2164529
3165529
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 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 (*.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 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #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)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(if (<=.f64 (*.f64 t t) #s(literal 580000000000000019364242957354602092113989098458438641303043374633643170941357992493036699453940524003020590591721449979904 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) (*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))
(if (<=.f64 (*.f64 t t) #s(literal 599999999999999971947590696506020127725536848623596525337234062920495582613335359570413528338601807362735773337766416351232 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) (*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(if (<=.f64 y #s(literal -1450000000000000146807668789159011549184 binary64)) (*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) (if (<=.f64 y #s(literal 6070840288205403/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) (*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
(*.f64 (sqrt.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 #s(literal -1/2 binary64) (*.f64 t t)))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.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 (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.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 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) #s(literal 2 binary64)) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 z #s(literal 2 binary64))))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #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)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(if (<=.f64 (*.f64 t t) #s(literal 580000000000000019364242957354602092113989098458438641303043374633643170941357992493036699453940524003020590591721449979904 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) (*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))
(if (<=.f64 (*.f64 t t) #s(literal 580000000000000019364242957354602092113989098458438641303043374633643170941357992493036699453940524003020590591721449979904 binary64)) (*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) (neg.f64 y))))
(if (<=.f64 (*.f64 t t) #s(literal 599999999999999971947590696506020127725536848623596525337234062920495582613335359570413528338601807362735773337766416351232 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) (*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))))))
(if (<=.f64 (*.f64 t t) #s(literal 599999999999999971947590696506020127725536848623596525337234062920495582613335359570413528338601807362735773337766416351232 binary64)) (*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(if (<=.f64 y #s(literal -1450000000000000146807668789159011549184 binary64)) (*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) (if (<=.f64 y #s(literal 6070840288205403/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) (*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))))
(if (<=.f64 y #s(literal -1450000000000000146807668789159011549184 binary64)) (*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))) (if (<=.f64 y #s(literal 6070840288205403/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))) (*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))))

soundness1.7s (9.9%)

Memory
4.7MiB live, 1 228.5MiB allocated
Rules
18 894×lower-fma.f64
18 894×lower-fma.f32
13 432×lower-fma.f64
13 432×lower-fma.f32
9 106×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03199962
111019714
239568787
371418781
084288635
043910088
116129442
256439098
081678865
045310610
116829852
258179492
080779328
058323
091318
1279308
21497307
08239307
048227
077212
1217209
21038209
08325209
01545
02443
16342
228542
3234342
0861742
01361647
14541644
215881551
344771548
088591536
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 143 to 709 computations (38% saved)

preprocess127.0ms (0.7%)

Memory
-1.4MiB live, 238.2MiB allocated
Remove

(abs t)

Compiler

Compiled 1 180 to 612 computations (48.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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