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

Time bar (total: 7.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze86.0ms (1.2%)

Memory
36.0MiB live, 36.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
50%49.9%49.9%0.2%0%0%0%4
50%49.9%49.9%0.2%0%0%0%5
50%49.9%49.9%0.2%0%0%0%6
50%49.9%49.9%0.2%0%0%0%7
66.7%49.9%25%0.2%0%25%0%8
66.7%49.9%25%0.2%0%25%0%9
66.7%49.9%25%0.2%0%25%0%10
66.7%49.9%25%0.2%0%25%0%11
80%49.9%12.5%0.2%0%37.4%0%12
Compiler

Compiled 19 to 17 computations (10.5% saved)

sample1.1s (15.6%)

Memory
439.8MiB live, 439.8MiB allocated
Samples
626.0ms8 256×0valid
160.0ms2 119×0invalid
Precisions
Click to see histograms. Total time spent on operations: 534.0ms
ival-mult: 268.0ms (50.2% of total)
ival-exp: 72.0ms (13.5% of total)
ival-sqrt: 65.0ms (12.2% of total)
ival-div: 60.0ms (11.2% of total)
ival-sub: 47.0ms (8.8% of total)
exact: 10.0ms (1.9% of total)
ival-true: 8.0ms (1.5% of total)
ival-assert: 4.0ms (0.7% of total)
Bogosity

explain177.0ms (2.4%)

Memory
99.4MiB live, 99.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
19(-3.8004577020446786e+243 9.980371684326236e-286 4.30781583570002e+222 -5.2900504820883653e+169)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-(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-#s(literal 2 binary64)
00-0-y
00-0-(*.f64 z #s(literal 2 binary64))
00-0-(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
00-0-#s(literal 1/2 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.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))))n*o90
*.f64(*.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))))u*o10
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))underflow2
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))overflow114
(/.f64 (*.f64 t t) #s(literal 2 binary64))overflow61
(*.f64 t t)overflow61
Confusion
Predicted +Predicted -
+10
-9246
Precision
0.1
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-90246
Precision?
0.1
Recall?
1.0
Freqs
test
numberfreq
0246
110
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
49.0ms512×0valid
Compiler

Compiled 269 to 104 computations (61.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 14.0ms (49% of total)
ival-exp: 4.0ms (14% of total)
ival-div: 3.0ms (10.5% of total)
ival-sqrt: 3.0ms (10.5% of total)
ival-sub: 2.0ms (7% of total)
exact: 1.0ms (3.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess113.0ms (1.5%)

Memory
10.8MiB live, 10.8MiB allocated
Algorithm
egg-herbie
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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(*.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)

simplify62.0ms (0.8%)

Memory
4.5MiB live, 4.5MiB 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))))
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

localize40.0ms (0.6%)

Memory
14.1MiB live, 14.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy0
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
accuracy0.17578125
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy0.2578104358302058
(*.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))))
Samples
29.0ms256×0valid
Compiler

Compiled 126 to 32 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 8.0ms (48.1% of total)
ival-div: 2.0ms (12% of total)
ival-exp: 2.0ms (12% of total)
ival-sqrt: 2.0ms (12% of total)
ival-sub: 1.0ms (6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory
9.1MiB live, 9.1MiB allocated
Counts
6 → 36
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
(* -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 (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)
(* 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))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ 1/2 (* -1 (/ y x))))
(* -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) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (- (/ y x) 1/2)))
(+ (* -1 y) (* 1/2 x))
(* 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) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (- (* 1/2 (/ x y)) 1))
(* -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 (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ 1 (* -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 (* (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 (* (* (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)))))))
(exp (* 1/2 (pow t 2)))
Calls

12 calls:

TimeVariablePointExpression
3.0ms
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)))
3.0ms
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)))
2.0ms
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)))
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
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)))

simplify173.0ms (2.4%)

Memory
51.2MiB live, 51.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136621
1454492
21579441
34469438
08855426
Stop Event
iter limit
node limit
Counts
36 → 36
Calls
Call 1
Inputs
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (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)
(* 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))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ 1/2 (* -1 (/ y x))))
(* -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) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (- (/ y x) 1/2)))
(+ (* -1 y) (* 1/2 x))
(* 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) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (- (* 1/2 (/ x y)) 1))
(* -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 (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ 1 (* -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 (* (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 (* (* (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)))))))
(exp (* 1/2 (pow t 2)))
Outputs
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* -1 y)
(neg.f64 y)
(- (* 1/2 x) y)
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* x (+ 1/2 (* -1 (/ y x))))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* -1 (* x (- (/ y x) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(+ (* -1 y) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* y (- (* 1/2 (/ x y)) 1))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 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))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))

rewrite164.0ms (2.2%)

Memory
57.7MiB live, 57.7MiB allocated
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)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y (-.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 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)) #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 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y))))
(*.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 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)) #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))))))
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(*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t)))
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(*.f64 (pow.f64 (exp.f64 t) (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 t) (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/4 binary64))) (pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/4 binary64))))
(pow.f64 (exp.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 1 binary64) t)) (*.f64 t #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 (neg.f64 t) t))
(pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (neg.f64 t)) (/.f64 t #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (exp.f64 t) (exp.f64 t)) (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 (exp.f64 t) t) (pow.f64 (exp.f64 t) t)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) (sqrt.f64 t)) (sqrt.f64 t))
(pow.f64 (pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) t)) (*.f64 t #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal -1/2 binary64)) (*.f64 (neg.f64 t) t))
(pow.f64 (pow.f64 (E.f64) (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (E.f64) (neg.f64 t)) (/.f64 t #s(literal -2 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal -1 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal 1 binary64)) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (E.f64) (*.f64 (neg.f64 t) t)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (E.f64) t) (*.f64 t #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal 1/2 binary64)) (*.f64 t t))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (neg.f64 (neg.f64 t))) t)
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (neg.f64 t)) (neg.f64 t))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 t) t))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 t t))
(pow.f64 (pow.f64 (exp.f64 t) #s(literal 1 binary64)) (*.f64 t #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 t) (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 t) (/.f64 t #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (exp.f64 t)) (neg.f64 (neg.f64 t)))
(pow.f64 (sqrt.f64 (exp.f64 t)) t)
(pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 t) (neg.f64 t)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 t t))
(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)))

eval61.0ms (0.8%)

Memory
40.5MiB live, 40.5MiB allocated
Compiler

Compiled 15 723 to 1 742 computations (88.9% saved)

prune24.0ms (0.3%)

Memory
22.5MiB live, 22.5MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New42815443
Fresh000
Picked101
Done000
Total42915444
Accuracy
100.0%
Counts
444 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.7%
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y)) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
99.3%
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
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)))
99.2%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
99.3%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
99.5%
(*.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)))))
99.5%
(*.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))))
96.1%
(*.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))))
93.9%
(*.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))))
87.1%
(*.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))))
62.9%
(*.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)))
99.2%
(*.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))))
88.3%
#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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
94.4%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))))
Compiler

Compiled 724 to 582 computations (19.6% saved)

simplify302.0ms (4.1%)

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

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
cost-diff1664
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) 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)))) (exp.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)))) #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))))
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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042371
074359
1134355
2233355
3497355
41203355
51985355
62632355
73680355
84435355
95152355
105610355
115738355
125750355
135750355
145786355
155786355
165786355
177114355
187722355
197722355
207722355
217722355
227722355
07722354
Stop Event
iter limit
saturated
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)
(*.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 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
(*.f64 t 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)))) (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.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))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#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
(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 #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)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x 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 (neg.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (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))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x y))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 (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))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x y))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))
(fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
(*.f64 t 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)))) (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))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x 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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)))
(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 (*.f64 #s(literal 1/2 binary64) x) y)
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x y))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
y
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(/.f64 (*.f64 t t) #s(literal 2 binary64))
(*.f64 t t)
t

localize122.0ms (1.7%)

Memory
46.6MiB live, 46.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.17578125
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
accuracy0.2578104358302058
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
accuracy0.28125
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
accuracy0.8111251125776329
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
accuracy0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy0
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
accuracy0.17578125
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy0.2578104358302058
(*.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))))
accuracy0.05859375
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
accuracy0.17578125
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy0.2578104358302058
(*.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))))
accuracy5.730056969825774
#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)))
accuracy0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy0.17578125
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy0.2578104358302058
(*.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)))
accuracy27.829705135576333
#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))
accuracy0.0078125
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)
accuracy0.0859375
(*.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
82.0ms256×0valid
Compiler

Compiled 719 to 83 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 24.0ms (46% of total)
ival-exp: 6.0ms (11.5% of total)
ival-div: 5.0ms (9.6% of total)
ival-sqrt: 5.0ms (9.6% of total)
ival-pow: 5.0ms (9.6% of total)
ival-sub: 3.0ms (5.7% of total)
ival-add: 2.0ms (3.8% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series108.0ms (1.5%)

Memory
51.2MiB live, 51.2MiB allocated
Counts
22 → 86
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 (*.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)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.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)))
#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)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
Outputs
(* -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)
(- (* 1/2 x) y)
(* 1/2 x)
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 z))))
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 z)))) (* -1/2 (* (/ x (* (pow y 2) (sqrt 2))) (sqrt (/ 1 z)))))
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 z)))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (sqrt 2))) (sqrt (/ 1 z)))) (* -1/4 (* (/ x (* (pow y 3) (sqrt 2))) (sqrt (/ 1 z)))))))
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 z)))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (sqrt 2))) (sqrt (/ 1 z)))) (* x (+ (* -1/4 (* (/ 1 (* (pow y 3) (sqrt 2))) (sqrt (/ 1 z)))) (* -1/8 (* (/ x (* (pow y 4) (sqrt 2))) (sqrt (/ 1 z)))))))))
(* 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 (+ 1/2 (* -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))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 z))))
(/ (+ (* 2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 z))))) x)
(/ (+ (* 2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (+ (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 z)))) (* 8 (* (/ (pow y 2) (* (pow x 2) (sqrt 2))) (sqrt (/ 1 z)))))) x)
(/ (+ (* 2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (+ (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 z)))) (+ (* 8 (* (/ (pow y 2) (* (pow x 2) (sqrt 2))) (sqrt (/ 1 z)))) (* 16 (* (/ (pow y 3) (* (pow x 3) (sqrt 2))) (sqrt (/ 1 z))))))) x)
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (- (/ y x) 1/2)))
(* -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) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (/ (+ (* -4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 z)))) (* -2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2))))) x))
(* -1 (/ (+ (* -2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* -1 (/ (+ (* 4 (* (/ y (sqrt 2)) (sqrt (/ 1 z)))) (* 8 (* (/ (pow y 2) (* x (sqrt 2))) (sqrt (/ 1 z))))) x))) x))
(* -1 (/ (+ (* -2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -16 (* (/ (pow y 3) (* x (sqrt 2))) (sqrt (/ 1 z)))) (* -8 (* (/ (pow y 2) (sqrt 2)) (sqrt (/ 1 z))))) x)) (* 4 (* (/ y (sqrt 2)) (sqrt (/ 1 z))))) x))) x))
(+ (* -1 y) (* 1/2 x))
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 z)))) (* 4 (* (/ y (* (pow x 2) (sqrt 2))) (sqrt (/ 1 z)))))
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 z)))) (* y (+ (* 4 (* (/ 1 (* (pow x 2) (sqrt 2))) (sqrt (/ 1 z)))) (* 8 (* (/ y (* (pow x 3) (sqrt 2))) (sqrt (/ 1 z)))))))
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 z)))) (* y (+ (* 4 (* (/ 1 (* (pow x 2) (sqrt 2))) (sqrt (/ 1 z)))) (* y (+ (* 8 (* (/ 1 (* (pow x 3) (sqrt 2))) (sqrt (/ 1 z)))) (* 16 (* (/ y (* (pow x 4) (sqrt 2))) (sqrt (/ 1 z)))))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (- (* 1/2 (/ x y)) 1))
(* 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) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(/ (+ (* -1 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 z))))) y)
(/ (+ (* -1 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (+ (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 z)))) (* -1/4 (* (/ (pow x 2) (* (pow y 2) (sqrt 2))) (sqrt (/ 1 z)))))) y)
(/ (+ (* -1 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (+ (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 z)))) (+ (* -1/4 (* (/ (pow x 2) (* (pow y 2) (sqrt 2))) (sqrt (/ 1 z)))) (* -1/8 (* (/ (pow x 3) (* (pow y 3) (sqrt 2))) (sqrt (/ 1 z))))))) y)
(* -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 (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (/ (+ (* 1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 z)))) (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ x (sqrt 2)) (sqrt (/ 1 z)))) (* -1/4 (* (/ (pow x 2) (* y (sqrt 2))) (sqrt (/ 1 z))))) y)) (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (/ (pow x 3) (* y (sqrt 2))) (sqrt (/ 1 z)))) (* 1/4 (* (/ (pow x 2) (sqrt 2)) (sqrt (/ 1 z))))) y)) (* -1/2 (* (/ x (sqrt 2)) (sqrt (/ 1 z))))) y)) (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) y))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (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))
(* 2 (* z (exp (pow t 2))))
(* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(* -1 (* (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))))
(* (sqrt (/ 1 z)) (/ (sqrt -1) (* (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)))))))))
(+ (* 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))) (* (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)))))))))
(* 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 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp t)
(exp (* 1/2 (pow t 2)))
(* 1/8 (pow t 4))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
Calls

12 calls:

TimeVariablePointExpression
41.0ms
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) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (/ 1 (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) (* (/ 1 (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) (exp (/ (* t t) 2))) (* (sqrt (* 2 z)) (- (* 1/2 x) y)) (sqrt (* 2 z)) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (exp (* (* t t) 1/2)) (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y))))
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)) (* (* (- (* 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) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (/ 1 (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) (* (/ 1 (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) (exp (/ (* t t) 2))) (* (sqrt (* 2 z)) (- (* 1/2 x) y)) (sqrt (* 2 z)) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (exp (* (* t t) 1/2)) (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y))))
11.0ms
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) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (/ 1 (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) (* (/ 1 (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) (exp (/ (* t t) 2))) (* (sqrt (* 2 z)) (- (* 1/2 x) y)) (sqrt (* 2 z)) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (exp (* (* t t) 1/2)) (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y))))
10.0ms
x
@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) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (/ 1 (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) (* (/ 1 (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) (exp (/ (* t t) 2))) (* (sqrt (* 2 z)) (- (* 1/2 x) y)) (sqrt (* 2 z)) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (exp (* (* t t) 1/2)) (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y))))
5.0ms
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)) (* (* (- (* 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) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (/ 1 (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) (* (/ 1 (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) (exp (/ (* t t) 2))) (* (sqrt (* 2 z)) (- (* 1/2 x) y)) (sqrt (* 2 z)) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (exp (* (* t t) 1/2)) (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y))))

simplify153.0ms (2.1%)

Memory
46.2MiB live, 46.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04402124
114031883
249121828
087341757
Stop Event
iter limit
node limit
Counts
86 → 86
Calls
Call 1
Inputs
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* -1 y)
(- (* 1/2 x) y)
(* 1/2 x)
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 z))))
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 z)))) (* -1/2 (* (/ x (* (pow y 2) (sqrt 2))) (sqrt (/ 1 z)))))
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 z)))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (sqrt 2))) (sqrt (/ 1 z)))) (* -1/4 (* (/ x (* (pow y 3) (sqrt 2))) (sqrt (/ 1 z)))))))
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 z)))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (sqrt 2))) (sqrt (/ 1 z)))) (* x (+ (* -1/4 (* (/ 1 (* (pow y 3) (sqrt 2))) (sqrt (/ 1 z)))) (* -1/8 (* (/ x (* (pow y 4) (sqrt 2))) (sqrt (/ 1 z)))))))))
(* 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 (+ 1/2 (* -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))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 z))))
(/ (+ (* 2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 z))))) x)
(/ (+ (* 2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (+ (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 z)))) (* 8 (* (/ (pow y 2) (* (pow x 2) (sqrt 2))) (sqrt (/ 1 z)))))) x)
(/ (+ (* 2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (+ (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 z)))) (+ (* 8 (* (/ (pow y 2) (* (pow x 2) (sqrt 2))) (sqrt (/ 1 z)))) (* 16 (* (/ (pow y 3) (* (pow x 3) (sqrt 2))) (sqrt (/ 1 z))))))) x)
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (- (/ y x) 1/2)))
(* -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) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (/ (+ (* -4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 z)))) (* -2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2))))) x))
(* -1 (/ (+ (* -2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* -1 (/ (+ (* 4 (* (/ y (sqrt 2)) (sqrt (/ 1 z)))) (* 8 (* (/ (pow y 2) (* x (sqrt 2))) (sqrt (/ 1 z))))) x))) x))
(* -1 (/ (+ (* -2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -16 (* (/ (pow y 3) (* x (sqrt 2))) (sqrt (/ 1 z)))) (* -8 (* (/ (pow y 2) (sqrt 2)) (sqrt (/ 1 z))))) x)) (* 4 (* (/ y (sqrt 2)) (sqrt (/ 1 z))))) x))) x))
(+ (* -1 y) (* 1/2 x))
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 z)))) (* 4 (* (/ y (* (pow x 2) (sqrt 2))) (sqrt (/ 1 z)))))
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 z)))) (* y (+ (* 4 (* (/ 1 (* (pow x 2) (sqrt 2))) (sqrt (/ 1 z)))) (* 8 (* (/ y (* (pow x 3) (sqrt 2))) (sqrt (/ 1 z)))))))
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 z)))) (* y (+ (* 4 (* (/ 1 (* (pow x 2) (sqrt 2))) (sqrt (/ 1 z)))) (* y (+ (* 8 (* (/ 1 (* (pow x 3) (sqrt 2))) (sqrt (/ 1 z)))) (* 16 (* (/ y (* (pow x 4) (sqrt 2))) (sqrt (/ 1 z)))))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (- (* 1/2 (/ x y)) 1))
(* 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) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(/ (+ (* -1 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 z))))) y)
(/ (+ (* -1 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (+ (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 z)))) (* -1/4 (* (/ (pow x 2) (* (pow y 2) (sqrt 2))) (sqrt (/ 1 z)))))) y)
(/ (+ (* -1 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (+ (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 z)))) (+ (* -1/4 (* (/ (pow x 2) (* (pow y 2) (sqrt 2))) (sqrt (/ 1 z)))) (* -1/8 (* (/ (pow x 3) (* (pow y 3) (sqrt 2))) (sqrt (/ 1 z))))))) y)
(* -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 (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (/ (+ (* 1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 z)))) (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ x (sqrt 2)) (sqrt (/ 1 z)))) (* -1/4 (* (/ (pow x 2) (* y (sqrt 2))) (sqrt (/ 1 z))))) y)) (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (/ (pow x 3) (* y (sqrt 2))) (sqrt (/ 1 z)))) (* 1/4 (* (/ (pow x 2) (sqrt 2)) (sqrt (/ 1 z))))) y)) (* -1/2 (* (/ x (sqrt 2)) (sqrt (/ 1 z))))) y)) (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) y))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (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))
(* 2 (* z (exp (pow t 2))))
(* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(* -1 (* (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))))
(* (sqrt (/ 1 z)) (/ (sqrt -1) (* (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)))))))))
(+ (* 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))) (* (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)))))))))
(* 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 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp t)
(exp (* 1/2 (pow t 2)))
(* 1/8 (pow t 4))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
Outputs
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)))
(* -1 y)
(neg.f64 y)
(- (* 1/2 x) y)
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 z))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 z)))) (* -1/2 (* (/ x (* (pow y 2) (sqrt 2))) (sqrt (/ 1 z)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) y)) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))))
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 z)))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (sqrt 2))) (sqrt (/ 1 z)))) (* -1/4 (* (/ x (* (pow y 3) (sqrt 2))) (sqrt (/ 1 z)))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) y)))) x (/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)))
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 z)))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (sqrt 2))) (sqrt (/ 1 z)))) (* x (+ (* -1/4 (* (/ 1 (* (pow y 3) (sqrt 2))) (sqrt (/ 1 z)))) (* -1/8 (* (/ x (* (pow y 4) (sqrt 2))) (sqrt (/ 1 z)))))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) y)) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
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(fma.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 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) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/6 binary64) z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)))) #s(literal 1/2 binary64))))
(+ (* 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 (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 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (*.f64 t t) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (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))) (* (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 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 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) (+ (* 1/48 (* (* (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)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))))
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))
(fma.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) z))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))
(fma.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) z) z)))
1
#s(literal 1 binary64)
(+ 1 t)
(+.f64 #s(literal 1 binary64) t)
(+ 1 (* t (+ 1 (* 1/2 t))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) t #s(literal 1 binary64))
(+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) t #s(literal 1 binary64))
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #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))
(exp t)
(exp.f64 t)
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(* 1/8 (pow t 4))
(*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/8 binary64))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 1/8 binary64)) (pow.f64 t #s(literal 4 binary64)))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 1/8 binary64)) (pow.f64 t #s(literal 4 binary64)) #s(literal 1 binary64))

rewrite200.0ms (2.7%)

Memory
85.3MiB live, 85.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042233
074216
1225215
2943215
08310215
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 794
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 (*.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)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.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)))
#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)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
Outputs
(*.f64 (/.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))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.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))))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))
(*.f64 (/.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))))) (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(*.f64 (/.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))))) (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(*.f64 (/.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))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.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))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))
(*.f64 (/.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)))) (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(*.f64 (/.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)))) (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (neg.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 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)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 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 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))))) (sqrt.f64 z))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 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 (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)))) (/.f64 (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)))
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(/.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))))
(/.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(fma.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) y))
(fma.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) y (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y y)) (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(fma.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 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 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 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 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y y)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))))
(fma.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (*.f64 y (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)))))
(fma.f64 y (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))))
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)))) (*.f64 y (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)))))
(+.f64 (*.f64 y (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)))))
(+.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y y)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))) (*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))))
(+.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))) (*.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) y))
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) y) (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y y))) (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 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 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 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 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))

eval194.0ms (2.6%)

Memory
131.7MiB live, 131.7MiB allocated
Compiler

Compiled 50 116 to 4 010 computations (92% saved)

prune63.0ms (0.9%)

Memory
64.9MiB live, 64.9MiB allocated
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New1 476191 495
Fresh7310
Picked415
Done000
Total1 487231 510
Accuracy
100.0%
Counts
1 510 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.7%
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
62.9%
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
93.9%
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
99.7%
(*.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)))
93.2%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (fma.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) z) z))))))
86.6%
(*.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)))))
62.9%
(*.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))))
87.3%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.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))))))
93.7%
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))))
62.7%
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
62.6%
(*.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (pow.f64 z #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
96.1%
(*.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))))
93.9%
(*.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))))
87.1%
(*.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))))
95.1%
(*.f64 (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
95.4%
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
95.1%
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
61.2%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) 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)))
29.6%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
61.1%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #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))))
35.8%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
62.3%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.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))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
88.3%
#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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
Compiler

Compiled 1 287 to 1 024 computations (20.4% saved)

simplify220.0ms (3%)

Memory
13.3MiB live, 13.3MiB 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-diff0
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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))))
cost-diff0
(*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #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))))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff0
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058478
095472
1161472
2265472
3528472
41002472
51367472
61636472
72352472
83542472
94566472
104838472
114991472
125014472
135032472
145097472
155266472
165292472
175292472
185716472
195904472
205904472
215904472
225906472
05906472
Stop Event
iter limit
saturated
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
(*.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 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #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 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #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))))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
x
(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))
(sqrt.f64 z)
z
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#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)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
(*.f64 t 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 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (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)))
(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))
(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))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
#s(literal 1/48 binary64)
(*.f64 t t)
t
#s(literal 1/8 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 (-.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 #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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.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
(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
(*.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 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (neg.f64 #s(approx (exp (/ (* t t) 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 (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)) (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 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #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))) #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) x) (sqrt.f64 z))))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) x) (sqrt.f64 z)))
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) x) (sqrt.f64 z))
(*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x)
x
(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))
(sqrt.f64 z)
z
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#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)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
(*.f64 t 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 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (neg.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 (-.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)) (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)))
(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))
(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))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
#s(literal 1/48 binary64)
(*.f64 t t)
t
#s(literal 1/8 binary64)
#s(literal 1 binary64)

localize143.0ms (1.9%)

Memory
51.7MiB live, 51.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.09375
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
accuracy0.17578125
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy0.2578104358302058
(*.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))))
accuracy4.0292160668241825
#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)))
accuracy0.2578104358302058
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #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))))
accuracy0.44369125976844204
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
accuracy5.730056969825774
#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)))
accuracy26.60155865451155
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
accuracy0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy0.17578125
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy0.2578104358302058
(*.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))))
accuracy12.620488629883681
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
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)))
accuracy0.0859375
(*.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))))
accuracy27.76936339662857
#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))
accuracy0.0078125
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)
accuracy0.0859375
(*.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)))
accuracy27.206815998945416
#s(approx (exp t) (+.f64 #s(literal 1 binary64) t))
Samples
98.0ms256×0valid
Compiler

Compiled 840 to 107 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 30.0ms (45.9% of total)
ival-add: 9.0ms (13.8% of total)
ival-sqrt: 7.0ms (10.7% of total)
ival-pow: 5.0ms (7.7% of total)
ival-exp: 4.0ms (6.1% of total)
const: 4.0ms (6.1% of total)
ival-sub: 3.0ms (4.6% of total)
ival-div: 2.0ms (3.1% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series71.0ms (1%)

Memory
44.5MiB live, 44.5MiB allocated
Counts
23 → 68
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)))
(*.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 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 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #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))))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (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))))
#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))
#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 (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)))
#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)))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
Outputs
(* -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)
(- (* 1/2 x) y)
(* 1/2 x)
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 1/2 (* x (sqrt z)))
(* 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 (+ 1/2 (* -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 (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 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 (- (/ y x) 1/2)))
(* -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) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(+ (* -1 y) (* 1/2 x))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (- (* 1/2 (/ x y)) 1))
(* 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) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* -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 (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* 2 (* z (exp (pow t 2))))
(* (sqrt z) (sqrt 2))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(* -1 (* (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)))))
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z)))
(* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(+ (* 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)))))))))
(+ (* 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))) (* (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)))))))
(+ 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)))))))
1/8
(+ 1/8 (* 1/48 (pow t 2)))
(exp t)
(exp (* 1/2 (pow t 2)))
(* 1/48 (pow t 2))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
Calls

12 calls:

TimeVariablePointExpression
14.0ms
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)) (* (* (- (* 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) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* x (* (sqrt z) 1/2)) (sqrt 2)) (* x (* (sqrt z) 1/2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (exp t) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8))
13.0ms
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)) (* (* (- (* 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) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* x (* (sqrt z) 1/2)) (sqrt 2)) (* x (* (sqrt z) 1/2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (exp t) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8))
11.0ms
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)) (* (* (- (* 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) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* x (* (sqrt z) 1/2)) (sqrt 2)) (* x (* (sqrt z) 1/2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (exp t) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8))
6.0ms
x
@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)) (* (* (- (* 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) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* x (* (sqrt z) 1/2)) (sqrt 2)) (* x (* (sqrt z) 1/2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (exp t) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8))
5.0ms
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)) (* (* (- (* 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) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* x (* (sqrt z) 1/2)) (sqrt 2)) (* x (* (sqrt z) 1/2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (exp t) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8))

simplify150.0ms (2%)

Memory
47.4MiB live, 47.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02611265
18871165
231641011
08082973
Stop Event
iter limit
node limit
Counts
68 → 68
Calls
Call 1
Inputs
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* -1 y)
(- (* 1/2 x) y)
(* 1/2 x)
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 1/2 (* x (sqrt z)))
(* 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 (+ 1/2 (* -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 (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 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 (- (/ y x) 1/2)))
(* -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) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(+ (* -1 y) (* 1/2 x))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (- (* 1/2 (/ x y)) 1))
(* 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) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* -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 (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* 2 (* z (exp (pow t 2))))
(* (sqrt z) (sqrt 2))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(* -1 (* (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)))))
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z)))
(* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(+ (* 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)))))))))
(+ (* 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))) (* (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)))))))
(+ 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)))))))
1/8
(+ 1/8 (* 1/48 (pow t 2)))
(exp t)
(exp (* 1/2 (pow t 2)))
(* 1/48 (pow t 2))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
Outputs
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64)))
(* -1 y)
(neg.f64 y)
(- (* 1/2 x) y)
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (sqrt.f64 z))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))
(* 1/2 (* x (sqrt z)))
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x)
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))))
(* x (+ 1/2 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))))
(* -1 (* x (- (/ y x) 1/2)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(* -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) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))))
(+ (* -1 y) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(* y (- (* 1/2 (/ x y)) 1))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 y))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 y))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (sqrt.f64 z))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* 2 (* z (exp (pow t 2))))
(*.f64 (*.f64 (pow.f64 (exp.f64 t) t) z) #s(literal 2 binary64))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 z)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 z)))
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))
(* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x)
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 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 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 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 t) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 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 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 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 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (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 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (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 (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 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (*.f64 t t) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (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 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) (*.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 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (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 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 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) (+ (* 1/48 (* (* (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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 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 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))
1
#s(literal 1 binary64)
(+ 1 t)
(+.f64 #s(literal 1 binary64) t)
(+ 1 (* t (+ 1 (* 1/2 t))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) t #s(literal 1 binary64))
(+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) t #s(literal 1 binary64))
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))
(*.f64 z (fma.f64 (fma.f64 t t #s(literal 1 binary64)) #s(literal 2 binary64) (pow.f64 t #s(literal 4 binary64))))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) z) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #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))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* 1/48 (pow t 2)))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
(exp t)
(exp.f64 t)
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(* 1/48 (pow t 2))
(*.f64 #s(literal 1/48 binary64) (*.f64 t t))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))

rewrite143.0ms (1.9%)

Memory
49.1MiB live, 49.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058316
095310
1292307
21564307
08285307
Stop Event
iter limit
node limit
iter limit
Counts
23 → 298
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)))
(*.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 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 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #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))))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (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))))
#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))
#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 (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)))
#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)))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
Outputs
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64))) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64)) #s(literal 1/64 binary64))) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64)))) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64)) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/110592 binary64) (pow.f64 t #s(literal 6 binary64)) #s(literal 1/512 binary64))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 (*.f64 t t) #s(literal 1/384 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/110592 binary64) (pow.f64 t #s(literal 6 binary64)) #s(literal 1/512 binary64))) (neg.f64 (fma.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 t t) #s(literal 1/384 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64)) #s(literal -1/64 binary64)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64)))
(/.f64 (fma.f64 #s(literal 1/110592 binary64) (pow.f64 t #s(literal 6 binary64)) #s(literal 1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 (*.f64 t t) #s(literal 1/384 binary64)))))
(/.f64 (fma.f64 #s(literal 1/110592 binary64) (pow.f64 t #s(literal 6 binary64)) #s(literal 1/512 binary64)) (fma.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 t t) #s(literal 1/384 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 (*.f64 t t) #s(literal 1/384 binary64)))) (fma.f64 #s(literal 1/110592 binary64) (pow.f64 t #s(literal 6 binary64)) #s(literal 1/512 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))))
(fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64))
(fma.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64)))))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(fma.f64 t (*.f64 #s(literal 1/48 binary64) t) #s(literal 1/8 binary64))
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 t t)))) (/.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 t t)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64))) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64))) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64)))))
(+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 t t)) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 t t)))

eval53.0ms (0.7%)

Memory
36.0MiB live, 36.0MiB allocated
Compiler

Compiled 15 265 to 1 233 computations (91.9% saved)

prune39.0ms (0.5%)

Memory
28.5MiB live, 28.5MiB allocated
Pruning

29 alts after pruning (25 fresh and 4 done)

PrunedKeptTotal
New38416400
Fresh8917
Picked145
Done101
Total39429423
Accuracy
100.0%
Counts
423 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.6%
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) 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 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
46.9%
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
62.9%
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
62.8%
(/.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
96.2%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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 z #s(literal 2 binary64)))))
87.5%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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 z #s(literal 2 binary64)))))
99.7%
(*.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)))
93.2%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (fma.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) z) z))))))
86.6%
(*.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)))))
62.9%
(*.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))))
87.3%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))
62.7%
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
62.6%
(*.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (pow.f64 z #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
86.9%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
96.0%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
87.1%
(*.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))))
95.8%
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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))))
97.2%
(*.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))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
95.4%
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
88.6%
(*.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))))
95.1%
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
61.4%
(*.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))))
62.2%
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
54.8%
(*.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)))
29.7%
(*.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))))
29.6%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
61.1%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #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))))
35.8%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
61.2%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) x)) #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))))
Compiler

Compiled 1 523 to 1 207 computations (20.7% saved)

simplify129.0ms (1.8%)

Memory
31.0MiB live, 31.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff0
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))
cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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))))
cost-diff0
#s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #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) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))
cost-diff0
(neg.f64 y)
cost-diff0
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
cost-diff0
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
cost-diff0
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- (* 1/2 x) y) (neg.f64 y))
cost-diff0
(*.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))))
cost-diff0
(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))
cost-diff0
#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)))
cost-diff0
(*.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 (*.f64 x #s(literal 1/2 binary64)) y))
cost-diff0
(*.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))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054502
088494
1151494
2277494
3762494
42159494
53520494
65370494
77602494
08193494
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.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))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (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 x #s(literal 1/2 binary64)) 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)))
(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))
(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))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
#s(literal 1/48 binary64)
(*.f64 t t)
t
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(*.f64 #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))))
#s(approx (- (* 1/2 x) y) (neg.f64 y))
(neg.f64 y)
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
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
x
#s(literal 1/2 binary64)
(neg.f64 y)
y
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(sqrt.f64 z)
z
#s(approx (exp (/ (* t t) 2)) #s(literal 1 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 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #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
#s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) t)
t
#s(literal 1 binary64)
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 z)
z
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))
(-.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 z)
z
(sqrt.f64 #s(literal 2 binary64))
#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)))
(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))
(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))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
#s(literal 1/48 binary64)
(*.f64 t t)
t
#s(literal 1/8 binary64)
#s(literal 1 binary64)
Outputs
(*.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))) (-.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 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #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 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 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)))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))
(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))
(fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
(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))
(fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
#s(literal 1/48 binary64)
(*.f64 t t)
t
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x y))
(*.f64 x #s(literal 1/2 binary64))
x
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(*.f64 #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 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) (neg.f64 y)))
#s(approx (- (* 1/2 x) y) (neg.f64 y))
(neg.f64 y)
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
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 z)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x y))
x
#s(literal 1/2 binary64)
(neg.f64 y)
y
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 z))
(sqrt.f64 z)
z
#s(approx (exp (/ (* t t) 2)) #s(literal 1 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 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x y))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
y
#s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) t)
t
#s(literal 1 binary64)
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 z)
z
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x y))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 z)
z
(sqrt.f64 #s(literal 2 binary64))
#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)))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))
(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))
(fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
(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))
(fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
#s(literal 1/48 binary64)
(*.f64 t t)
t
#s(literal 1/8 binary64)
#s(literal 1 binary64)

localize143.0ms (2%)

Memory
54.4MiB live, 54.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2421875
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))
accuracy0.2578104358302058
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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))))
accuracy0.414726269536884
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
accuracy4.0292160668241825
#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)))
accuracy0.0859375
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))
accuracy0.48570253907376815
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
accuracy2.3609346378309866
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
accuracy14.02306964976428
#s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
accuracy0.0078125
(*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
accuracy0.171875
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
accuracy0.359375
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))
accuracy27.829705135576333
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy0.00390625
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))
accuracy0.0859375
(*.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))))
accuracy27.76936339662857
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))
accuracy35.692249666175215
#s(approx (- (* 1/2 x) y) (neg.f64 y))
accuracy0.03515625
(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))
accuracy0.08984375
(*.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))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy0.09375
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
accuracy4.0292160668241825
#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)))
Samples
101.0ms256×0valid
Compiler

Compiled 888 to 106 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 34.0ms (49.8% of total)
ival-add: 7.0ms (10.3% of total)
ival-sqrt: 7.0ms (10.3% of total)
ival-pow: 5.0ms (7.3% of total)
ival-exp: 4.0ms (5.9% of total)
const: 4.0ms (5.9% of total)
ival-sub: 3.0ms (4.4% of total)
ival-div: 2.0ms (2.9% of total)
exact: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series74.0ms (1%)

Memory
47.1MiB live, 47.1MiB allocated
Counts
26 → 109
Calls
Call 1
Inputs
(*.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))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (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 x #s(literal 1/2 binary64)) 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)))
(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 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
#s(approx (- (* 1/2 x) y) (neg.f64 y))
(neg.f64 y)
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
(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))
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
Outputs
(* -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)))))
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (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)
(- (* 1/2 x) y)
(* -1 (* y (sqrt 2)))
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))
(* 1/2 x)
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 (* y (sqrt z)))
(+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* x (exp (* 1/2 (pow t 2)))))
(* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 (* x (sqrt 2)))
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 (* x (sqrt z)))
(* x (+ (* -1 (* (/ y x) (sqrt z))) (* 1/2 (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 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (sqrt z)) (* (/ y x) (sqrt z)))))
(+ (* -1 y) (* 1/2 x))
(* 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 (exp (* 1/2 (pow t 2)))) (* 1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (- (* 1/2 (/ x y)) 1))
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (sqrt z)) (* 1/2 (* (/ x y) (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 (+ (exp (* 1/2 (pow t 2))) (* -1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y)))))
(* -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 (* -1/2 (/ x y)))))
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (sqrt z) (* -1/2 (* (/ x y) (sqrt z))))))
(* (sqrt z) (* (exp (* 1/2 (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) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (- (* 1/2 x) y))
(* 2 (* z (exp (pow t 2))))
(* (sqrt z) (exp (* 1/2 (pow t 2))))
(* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 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 (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2))))
(+ (* 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)))))))))
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y)
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y)
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) 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) (* (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)))))))))
(+ (* 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)))))))))
1/8
(+ 1/8 (* 1/48 (pow t 2)))
1/2
(+ 1/2 (* 1/8 (pow t 2)))
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))
(* 2 z)
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))
(sqrt z)
(+ (sqrt z) (* 1/2 (* (pow t 2) (sqrt z))))
(+ (sqrt z) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (sqrt z))) (* 1/2 (sqrt z)))))
(+ (sqrt z) (* (pow t 2) (+ (* 1/2 (sqrt z)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (sqrt z))) (* 1/8 (sqrt z)))))))
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))
(exp (* 1/2 (pow t 2)))
(* 1/48 (pow t 6))
(* (pow t 6) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (+ (* 1/8 (/ 1 (pow t 2))) (/ 1 (pow t 6))))))
(* 1/48 (pow t 2))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* 1/48 (pow t 4))
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z)))
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z))))
Calls

12 calls:

TimeVariablePointExpression
14.0ms
z
@-inf
((* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* z 2))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (* t t)) 1) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (neg y) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (* (sqrt z) (exp (/ (* t t) 2)))) (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* x 1/2) (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)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (* (- (* x 1/2) y) (sqrt z)) (- (* x 1/2) y) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (* (sqrt z) (exp (/ (* t t) 2))) (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (* (sqrt z) (sqrt 2)))
14.0ms
z
@0
((* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* z 2))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (* t t)) 1) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (neg y) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (* (sqrt z) (exp (/ (* t t) 2)))) (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* x 1/2) (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)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (* (- (* x 1/2) y) (sqrt z)) (- (* x 1/2) y) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (* (sqrt z) (exp (/ (* t t) 2))) (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (* (sqrt z) (sqrt 2)))
11.0ms
z
@inf
((* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* z 2))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (* t t)) 1) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (neg y) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (* (sqrt z) (exp (/ (* t t) 2)))) (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* x 1/2) (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)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (* (- (* x 1/2) y) (sqrt z)) (- (* x 1/2) y) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (* (sqrt z) (exp (/ (* t t) 2))) (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (* (sqrt z) (sqrt 2)))
5.0ms
x
@-inf
((* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* z 2))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (* t t)) 1) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (neg y) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (* (sqrt z) (exp (/ (* t t) 2)))) (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* x 1/2) (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)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (* (- (* x 1/2) y) (sqrt z)) (- (* x 1/2) y) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (* (sqrt z) (exp (/ (* t t) 2))) (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (* (sqrt z) (sqrt 2)))
4.0ms
x
@0
((* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* z 2))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (* t t)) 1) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (neg y) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (* (sqrt z) (exp (/ (* t t) 2)))) (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* x 1/2) (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)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (* (- (* x 1/2) y) (sqrt z)) (- (* x 1/2) y) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (* (sqrt z) (exp (/ (* t t) 2))) (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (* (sqrt z) (sqrt 2)))

simplify150.0ms (2%)

Memory
46.8MiB live, 46.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03781907
112941718
245441504
081361451
Stop Event
iter limit
node limit
Counts
109 → 109
Calls
Call 1
Inputs
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* y (exp (* 1/2 (pow t 2)))))
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (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)
(- (* 1/2 x) y)
(* -1 (* y (sqrt 2)))
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))
(* 1/2 x)
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 (* y (sqrt z)))
(+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* x (exp (* 1/2 (pow t 2)))))
(* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 (* x (sqrt 2)))
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 (* x (sqrt z)))
(* x (+ (* -1 (* (/ y x) (sqrt z))) (* 1/2 (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 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (sqrt z)) (* (/ y x) (sqrt z)))))
(+ (* -1 y) (* 1/2 x))
(* 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 (exp (* 1/2 (pow t 2)))) (* 1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (- (* 1/2 (/ x y)) 1))
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (sqrt z)) (* 1/2 (* (/ x y) (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 (+ (exp (* 1/2 (pow t 2))) (* -1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y)))))
(* -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 (* -1/2 (/ x y)))))
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (sqrt z) (* -1/2 (* (/ x y) (sqrt z))))))
(* (sqrt z) (* (exp (* 1/2 (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) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (- (* 1/2 x) y))
(* 2 (* z (exp (pow t 2))))
(* (sqrt z) (exp (* 1/2 (pow t 2))))
(* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 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 (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2))))
(+ (* 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)))))))))
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y)
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y)
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) 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) (* (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)))))))))
(+ (* 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)))))))))
1/8
(+ 1/8 (* 1/48 (pow t 2)))
1/2
(+ 1/2 (* 1/8 (pow t 2)))
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))
(* 2 z)
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))
(sqrt z)
(+ (sqrt z) (* 1/2 (* (pow t 2) (sqrt z))))
(+ (sqrt z) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (sqrt z))) (* 1/2 (sqrt z)))))
(+ (sqrt z) (* (pow t 2) (+ (* 1/2 (sqrt z)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (sqrt z))) (* 1/8 (sqrt z)))))))
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))
(exp (* 1/2 (pow t 2)))
(* 1/48 (pow t 6))
(* (pow t 6) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (+ (* 1/8 (/ 1 (pow t 2))) (/ 1 (pow t 6))))))
(* 1/48 (pow t 2))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* 1/48 (pow t 4))
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z)))
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z))))
Outputs
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* y (exp (* 1/2 (pow t 2)))))
(*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (pow t 2))))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)))
(* -1 y)
(neg.f64 y)
(- (* 1/2 x) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* -1 (* y (sqrt 2)))
(*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z))
(* -1 (* y (sqrt z)))
(*.f64 (neg.f64 y) (sqrt.f64 z))
(+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z))))
(*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.f64 y x)))))
(* 1/2 (* x (exp (* 1/2 (pow t 2)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (*.f64 #s(literal 1/2 binary64) x))
(* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x))
(* x (+ 1/2 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(* 1/2 (* x (sqrt 2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))
(*.f64 (*.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 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x))
(* 1/2 (* x (sqrt z)))
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x)
(* x (+ (* -1 (* (/ y x) (sqrt z))) (* 1/2 (sqrt z))))
(*.f64 (*.f64 (sqrt.f64 z) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* -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) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.f64 y x)))))
(* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x))
(* -1 (* x (- (/ y x) 1/2)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))
(*.f64 (*.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 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x))
(* -1 (* x (+ (* -1/2 (sqrt z)) (* (/ y x) (sqrt z)))))
(*.f64 (*.f64 (sqrt.f64 z) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+ (* -1 y) (* 1/2 x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))))
(* y (+ (* -1 (exp (* 1/2 (pow t 2)))) (* 1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y))))
(*.f64 (neg.f64 y) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 x y)) #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(* y (- (* 1/2 (/ x y)) 1))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(* y (+ (* -1 (sqrt z)) (* 1/2 (* (/ x y) (sqrt z)))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))) y)
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))))
(* -1 (* y (+ (exp (* 1/2 (pow t 2))) (* -1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y)))))
(*.f64 (neg.f64 y) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 x y)) #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* y (+ (sqrt z) (* -1/2 (* (/ x y) (sqrt z))))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))) y)
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z))
(* (sqrt z) (- (* 1/2 x) y))
(*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* 2 (* z (exp (pow t 2))))
(*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))
(* (sqrt z) (exp (* 1/2 (pow t 2))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t)))
(* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 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))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal -2 binary64)))) (sqrt.f64 (pow.f64 (exp.f64 t) t)))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))
(*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t)))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 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))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 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 t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (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)))))))
(fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z)) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (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) (+ (* 1/48 (* (* (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 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z))))
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y)
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y)
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) y)
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
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) (* (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 t) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) 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 t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (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 #s(literal 1/2 binary64) x) 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 t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (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 (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 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (*.f64 t t) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (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 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) (*.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 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* 1/48 (pow t 2)))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (pow t 2)))
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))
(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))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))
(*.f64 z (fma.f64 (fma.f64 t t #s(literal 1 binary64)) #s(literal 2 binary64) (pow.f64 t #s(literal 4 binary64))))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) z) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))
(sqrt z)
(sqrt.f64 z)
(+ (sqrt z) (* 1/2 (* (pow t 2) (sqrt z))))
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z))
(+ (sqrt z) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (sqrt z))) (* 1/2 (sqrt z)))))
(*.f64 (sqrt.f64 z) (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 z) (* (pow t 2) (+ (* 1/2 (sqrt z)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (sqrt z))) (* 1/8 (sqrt z)))))))
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)))
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(* 1/48 (pow t 6))
(*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/48 binary64))
(* (pow t 6) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) #s(literal 1/48 binary64)) (pow.f64 t #s(literal 6 binary64)))
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) #s(literal 1/48 binary64))) (pow.f64 t #s(literal 6 binary64)))
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (+ (* 1/8 (/ 1 (pow t 2))) (/ 1 (pow t 6))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) #s(literal 1/48 binary64))) (pow.f64 t #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/48 (pow t 2))
(*.f64 #s(literal 1/48 binary64) (*.f64 t t))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
(* 1/48 (pow t 4))
(*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/48 binary64))
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(*.f64 (pow.f64 t #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) #s(literal 1/48 binary64)))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(*.f64 (pow.f64 t #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) #s(literal 1/48 binary64))))
(* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) (/.f64 (/.f64 (sqrt.f64 z) t) t))) (*.f64 t t))

rewrite143.0ms (2%)

Memory
55.4MiB live, 55.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054362
088349
1256348
21344332
08608332
Stop Event
iter limit
node limit
iter limit
Counts
26 → 627
Calls
Call 1
Inputs
(*.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))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (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 x #s(literal 1/2 binary64)) 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)))
(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 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
#s(approx (- (* 1/2 x) y) (neg.f64 y))
(neg.f64 y)
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
(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))
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
Outputs
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #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 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))))
(*.f64 (*.f64 (fma.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 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))))
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(/.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (neg.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (*.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))))
(fma.f64 (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 #s(literal 1/2 binary64) (*.f64 t t)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(fma.f64 (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(+.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(*.f64 (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 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(pow.f64 (exp.f64 (log.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 z) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))

eval108.0ms (1.5%)

Memory
73.3MiB live, 73.3MiB allocated
Compiler

Compiled 36 642 to 2 820 computations (92.3% saved)

prune65.0ms (0.9%)

Memory
51.5MiB live, 51.5MiB allocated
Pruning

38 alts after pruning (33 fresh and 5 done)

PrunedKeptTotal
New73720757
Fresh71320
Picked415
Done044
Total74838786
Accuracy
100.0%
Counts
786 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.6%
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) 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 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
46.9%
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
62.9%
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
62.8%
(/.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
34.7%
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
48.5%
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
30.7%
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
41.1%
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
87.5%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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 z #s(literal 2 binary64)))))
99.7%
(*.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)))
86.6%
(*.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)))))
62.9%
(*.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))))
87.3%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))
34.9%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) #s(approx (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))))
62.7%
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt z) (exp (/ (* t t) 2))) (sqrt.f64 z)))
54.3%
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #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))))
86.9%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
87.1%
(*.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))))
54.1%
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
89.6%
(*.f64 (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))) y)) (sqrt.f64 #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))))
88.3%
(*.f64 (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 #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))))
62.6%
(*.f64 (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x)) (sqrt.f64 #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))))
97.2%
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
95.4%
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
97.1%
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
88.6%
(*.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))))
3.0%
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y))
54.1%
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))))
3.7%
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (*.f64 y y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
61.4%
(*.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))))
62.2%
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
54.8%
(*.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)))
47.4%
(*.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)))))
29.7%
(*.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))))
61.1%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #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))))
61.2%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) x)) #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))))
29.6%
(*.f64 #s(approx (* (+ (* x 1/2) (neg y)) (sqrt 2)) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
94.6%
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Compiler

Compiled 3 172 to 1 212 computations (61.8% saved)

regimes259.0ms (3.5%)

Memory
90.7MiB live, 90.7MiB allocated
Counts
71 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y))
(*.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 (-.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 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #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)))
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (*.f64 y y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (* (+ (* x 1/2) (neg y)) (sqrt 2)) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt z) (exp (/ (* t t) 2))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) 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 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #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 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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 z #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) x)) #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) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) #s(approx (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t) (*.f64 (sqrt.f64 z) #s(literal 1/2 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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #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 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #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)) (- (* x 1/2) y)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #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 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.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 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 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(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))))
(*.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))) (-.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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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 x #s(literal 1/2 binary64)) 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 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) 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 (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x)) (sqrt.f64 #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 (sqrt.f64 z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))))
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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))))
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#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))) y)) (sqrt.f64 #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))))
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(*.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 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y)) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 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)))
Calls

13 calls:

20.0ms
(*.f64 x #s(literal 1/2 binary64))
20.0ms
z
20.0ms
(*.f64 z #s(literal 2 binary64))
20.0ms
x
20.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
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)

regimes246.0ms (3.4%)

Memory
86.0MiB live, 86.0MiB allocated
Counts
66 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y))
(*.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 (-.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 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #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)))
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (*.f64 y y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (* (+ (* x 1/2) (neg y)) (sqrt 2)) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt z) (exp (/ (* t t) 2))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) 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 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #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 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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 z #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) x)) #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) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) #s(approx (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t) (*.f64 (sqrt.f64 z) #s(literal 1/2 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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #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 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #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)) (- (* x 1/2) y)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #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 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.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 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 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(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))))
(*.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))) (-.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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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 x #s(literal 1/2 binary64)) 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 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) 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 (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x)) (sqrt.f64 #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 (sqrt.f64 z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))))
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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 (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))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 #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))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))) y)) (sqrt.f64 #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 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) 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 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 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 (-.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 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (pow.f64 z #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (fma.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) z) z))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 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:

20.0ms
y
20.0ms
z
20.0ms
x
20.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
19.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1z
99.7%1t
99.7%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
99.7%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
99.7%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
99.7%1(*.f64 x #s(literal 1/2 binary64))
99.7%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
99.7%1(*.f64 z #s(literal 2 binary64))
99.7%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
99.7%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
99.7%1(*.f64 t t)
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes220.0ms (3%)

Memory
78.4MiB live, 78.4MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y))
(*.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 (-.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 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #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)))
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (*.f64 y y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (* (+ (* x 1/2) (neg y)) (sqrt 2)) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt z) (exp (/ (* t t) 2))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) 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 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #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 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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 z #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) x)) #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) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) #s(approx (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t) (*.f64 (sqrt.f64 z) #s(literal 1/2 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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #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 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #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)) (- (* x 1/2) y)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #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 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.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 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 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(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))))
(*.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))) (-.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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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 x #s(literal 1/2 binary64)) 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 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) 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 (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x)) (sqrt.f64 #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 (sqrt.f64 z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))))
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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 (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))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 #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))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))) y)) (sqrt.f64 #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 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) 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 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 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)))
Outputs
(*.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))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Calls

13 calls:

18.0ms
(*.f64 z #s(literal 2 binary64))
17.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
17.0ms
x
17.0ms
(*.f64 x #s(literal 1/2 binary64))
17.0ms
y
Results
AccuracySegmentsBranch
97.2%1x
97.2%1y
97.2%1z
97.2%1t
97.2%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
97.2%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
97.2%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
97.2%1(*.f64 x #s(literal 1/2 binary64))
97.2%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
97.2%1(*.f64 z #s(literal 2 binary64))
97.2%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
97.2%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
97.2%1(*.f64 t t)
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes161.0ms (2.2%)

Memory
59.5MiB live, 59.5MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y))
(*.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 (-.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 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #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)))
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (*.f64 y y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (* (+ (* x 1/2) (neg y)) (sqrt 2)) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt z) (exp (/ (* t t) 2))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) 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 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #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 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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 z #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) x)) #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) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) #s(approx (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t) (*.f64 (sqrt.f64 z) #s(literal 1/2 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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #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 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #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)) (- (* x 1/2) y)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #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 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.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 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 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(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))))
Outputs
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Calls

13 calls:

13.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
13.0ms
(*.f64 z #s(literal 2 binary64))
13.0ms
z
13.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
13.0ms
y
Results
AccuracySegmentsBranch
97.1%1y
97.1%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
97.1%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
97.1%1x
97.1%1z
97.1%1t
97.1%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
97.1%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
97.1%1(*.f64 x #s(literal 1/2 binary64))
97.1%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
97.1%1(*.f64 z #s(literal 2 binary64))
97.1%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
97.1%1(*.f64 t t)
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes148.0ms (2%)

Memory
55.4MiB live, 55.4MiB allocated
Counts
36 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y))
(*.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 (-.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 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #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)))
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (*.f64 y y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (* (+ (* x 1/2) (neg y)) (sqrt 2)) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt z) (exp (/ (* t t) 2))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) 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 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #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 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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 z #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) x)) #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) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) #s(approx (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t) (*.f64 (sqrt.f64 z) #s(literal 1/2 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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #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 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #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)) (- (* x 1/2) y)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #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 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.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 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
Outputs
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Calls

13 calls:

12.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
12.0ms
(*.f64 z #s(literal 2 binary64))
12.0ms
x
12.0ms
(*.f64 x #s(literal 1/2 binary64))
12.0ms
z
Results
AccuracySegmentsBranch
95.4%1y
95.4%1x
95.4%1z
95.4%1t
95.4%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))))
95.4%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
95.4%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
95.4%1(*.f64 x #s(literal 1/2 binary64))
95.4%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
95.4%1(*.f64 z #s(literal 2 binary64))
95.4%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
95.4%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
95.4%1(*.f64 t t)
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes113.0ms (1.5%)

Memory
45.1MiB live, 45.1MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y))
(*.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 (-.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 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #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)))
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (*.f64 y y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (* (+ (* x 1/2) (neg y)) (sqrt 2)) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt z) (exp (/ (* t t) 2))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) 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 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #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 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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 z #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) x)) #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) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) #s(approx (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t) (*.f64 (sqrt.f64 z) #s(literal 1/2 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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #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 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))
Outputs
(*.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))))
Calls

13 calls:

9.0ms
z
9.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
9.0ms
(*.f64 z #s(literal 2 binary64))
9.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
9.0ms
(*.f64 x #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
88.6%1x
88.6%1y
88.6%1z
88.6%1t
88.6%1(*.f64 x #s(literal 1/2 binary64))
88.6%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
88.6%1(*.f64 z #s(literal 2 binary64))
88.6%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
88.6%1(*.f64 t t)
88.6%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
88.6%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
88.6%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
88.6%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes78.0ms (1.1%)

Memory
34.8MiB live, 34.8MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y))
(*.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 (-.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 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #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)))
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (*.f64 y y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (* (+ (* x 1/2) (neg y)) (sqrt 2)) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt z) (exp (/ (* t t) 2))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) 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 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #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 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #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:

6.0ms
(*.f64 x #s(literal 1/2 binary64))
6.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
6.0ms
y
6.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
6.0ms
(*.f64 z #s(literal 2 binary64))
Results
AccuracySegmentsBranch
86.6%1x
86.6%1y
86.6%1z
86.6%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
86.6%1(*.f64 x #s(literal 1/2 binary64))
86.6%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
86.6%1(*.f64 z #s(literal 2 binary64))
86.6%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
86.6%1t
86.6%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
86.6%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
86.6%1(*.f64 t t)
86.6%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))))
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes60.0ms (0.8%)

Memory
29.4MiB live, 29.4MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y))
(*.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 (-.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 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #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)))
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (*.f64 y y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (* (+ (* x 1/2) (neg y)) (sqrt 2)) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt z) (exp (/ (* t t) 2))) (sqrt.f64 z)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (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 #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

13 calls:

5.0ms
(*.f64 x #s(literal 1/2 binary64))
5.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
5.0ms
x
5.0ms
(*.f64 z #s(literal 2 binary64))
5.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Results
AccuracySegmentsBranch
75.0%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))))
77.9%2t
77.9%2(/.f64 (*.f64 t t) #s(literal 2 binary64))
77.9%2(*.f64 t t)
68.7%3x
67.3%2y
62.9%1z
62.9%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
68.7%3(*.f64 x #s(literal 1/2 binary64))
62.9%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
62.9%1(*.f64 z #s(literal 2 binary64))
62.9%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
77.2%2(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes24.0ms (0.3%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y))
(*.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 (-.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 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
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

9 calls:

3.0ms
(*.f64 x #s(literal 1/2 binary64))
3.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
3.0ms
t
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
62.9%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
62.9%1x
62.9%1(*.f64 x #s(literal 1/2 binary64))
62.9%1y
62.9%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))))
62.9%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
62.9%1t
62.9%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
62.9%1(*.f64 t t)
Compiler

Compiled 42 to 60 computations (-42.9% saved)

regimes28.0ms (0.4%)

Memory
19.4MiB live, 19.4MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y))
(*.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 (*.f64 x #s(literal 1/2 binary64)) y)
2.0ms
(*.f64 x #s(literal 1/2 binary64))
2.0ms
(*.f64 z #s(literal 2 binary64))
2.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
2.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
29.7%1y
29.7%1t
29.7%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
29.7%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
29.7%1(*.f64 t t)
29.7%1x
29.7%1(*.f64 x #s(literal 1/2 binary64))
29.7%1z
29.7%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
29.7%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
29.7%1(*.f64 z #s(literal 2 binary64))
29.7%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
29.7%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes24.0ms (0.3%)

Memory
18.5MiB live, 18.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

13 calls:

2.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
2.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
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
3.0%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
3.0%1z
3.0%1t
3.0%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))))
3.0%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
3.0%1(*.f64 z #s(literal 2 binary64))
3.0%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
3.0%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
3.0%1(*.f64 t t)
3.0%1y
3.0%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
3.0%1x
3.0%1(*.f64 x #s(literal 1/2 binary64))
Compiler

Compiled 60 to 88 computations (-46.7% saved)

bsearch17.0ms (0.2%)

Memory
5.0MiB live, 5.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
2.8302611616921198e+225
7.282028904104174e+226
Samples
10.0ms112×0valid
Compiler

Compiled 328 to 295 computations (10.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (47% of total)
ival-sub: 1.0ms (15.7% of total)
ival-div: 1.0ms (15.7% of total)
ival-exp: 1.0ms (15.7% of total)
ival-sqrt: 1.0ms (15.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify31.0ms (0.4%)

Memory
19.1MiB live, 19.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083300
1121300
2124300
3125300
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 #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 (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 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 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 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 t) z z) #s(literal 2 binary64)))))
(if (<=.f64 (*.f64 t t) #s(literal 3699999999999999948973647760357823615420048058057228614367216148958127376661806726886185152455204055563905471144308784792924702887123500949415841914047518966443078850793428445781784601179536392220622245042235592343855097184256 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))))
(*.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 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y))
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 #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 #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 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 #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 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 (*.f64 t t) #s(literal 1/48 binary64))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 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 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 3699999999999999948973647760357823615420048058057228614367216148958127376661806726886185152455204055563905471144308784792924702887123500949415841914047518966443078850793428445781784601179536392220622245042235592343855097184256 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 3699999999999999948973647760357823615420048058057228614367216148958127376661806726886185152455204055563905471144308784792924702887123500949415841914047518966443078850793428445781784601179536392220622245042235592343855097184256 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))
(*.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)))))
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y))
(*.f64 #s(approx (- (* 1/2 x) y) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))))

soundness991.0ms (13.5%)

Memory
13.6MiB live, 13.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058316
095310
1292307
21564307
08285307
02611265
18871165
231641011
08082973
03781907
112941718
245441504
081361451
04402124
114031883
249121828
087341757
0136621
1454492
21579441
34469438
08855426
054362
088349
1256348
21344332
08608332
042233
074216
1225215
2943215
08310215
01545
02443
16342
228542
3234342
0861742
Stop Event
fuel
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
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 933 to 535 computations (42.7% saved)

preprocess95.0ms (1.3%)

Memory
50.3MiB live, 50.3MiB allocated
Remove

(abs t)

Compiler

Compiled 972 to 508 computations (47.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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