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

Time bar (total: 15.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze108.0ms (0.7%)

Memory
4.6MiB live, 164.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
50%49.9%49.9%0.2%0%0%0%4
50%49.9%49.9%0.2%0%0%0%5
50%49.9%49.9%0.2%0%0%0%6
50%49.9%49.9%0.2%0%0%0%7
66.7%49.9%25%0.2%0%25%0%8
66.7%49.9%25%0.2%0%25%0%9
66.7%49.9%25%0.2%0%25%0%10
66.7%49.9%25%0.2%0%25%0%11
80%49.9%12.5%0.2%0%37.4%0%12
Compiler

Compiled 19 to 17 computations (10.5% saved)

sample2.8s (18%)

Memory
-107.4MiB live, 1 638.8MiB allocated
Samples
1.5s8 256×0valid
341.0ms2 096×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-mult: 607.0ms (43.5% of total)
ival-div: 336.0ms (24.1% of total)
ival-sub: 194.0ms (13.9% of total)
ival-sqrt: 120.0ms (8.6% of total)
ival-exp: 113.0ms (8.1% of total)
exact: 12.0ms (0.9% of total)
ival-true: 8.0ms (0.6% of total)
ival-assert: 5.0ms (0.4% of total)
Bogosity

explain246.0ms (1.6%)

Memory
-21.1MiB live, 231.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.f64 (*.f64 t t) #s(literal 2 binary64))
10-0-(*.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))))
01(4.944528753386513e+189 1.7657377324715244e-189 5.041954672167115e+235 27.972306250389757)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-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))))u*o10
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))underflow5
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))overflow124
(/.f64 (*.f64 t t) #s(literal 2 binary64))overflow66
(*.f64 t t)overflow67
/.f64(/.f64 (*.f64 t t) #s(literal 2 binary64))o/n10
(*.f64 t t)overflow67
exp.f64(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))sensitivity10
Confusion
Predicted +Predicted -
+10
-2253
Precision
0.3333333333333333
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-20253
Precision?
0.3333333333333333
Recall?
1.0
Freqs
test
numberfreq
0253
13
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
120.0ms512×0valid
Compiler

Compiled 207 to 64 computations (69.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 71.0ms (82.4% of total)
ival-div: 4.0ms (4.6% of total)
ival-exp: 4.0ms (4.6% of total)
ival-sqrt: 4.0ms (4.6% of total)
ival-sub: 3.0ms (3.5% of total)
exact: 1.0ms (1.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess115.0ms (0.7%)

Memory
11.4MiB live, 130.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072232
1192226
2495224
31535224
44425224
56846224
01517
02416
13616
25816
311516
424816
537616
650816
792716
8179216
9237116
10250316
11252116
12252116
13254116
14254916
15254916
0254916
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t)))
Symmetry

(abs t)

Compiler

Compiled 17 to 15 computations (11.8% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(*.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)

simplify75.0ms (0.5%)

Memory
-10.5MiB live, 111.5MiB 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
424860
537660
650860
792760
8179260
9237160
10250360
11252160
12252160
13254160
14254960
15254960
0254960
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

localize148.0ms (1%)

Memory
6.4MiB live, 45.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.009070031620653759
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
accuracy0.18999899044871377
(/.f64 (*.f64 t t) #s(literal 2 binary64))
accuracy0.234375
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy0.2539041858302058
(*.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
138.0ms256×0valid
Compiler

Compiled 126 to 32 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-sub: 115.0ms (89.8% of total)
ival-mult: 7.0ms (5.5% of total)
ival-div: 2.0ms (1.6% of total)
ival-exp: 2.0ms (1.6% of total)
ival-sqrt: 2.0ms (1.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
-26.4MiB live, 48.7MiB allocated
Counts
6 → 35
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))
(/.f64 (*.f64 t t) #s(literal 2 binary64))
(exp.f64 (/.f64 (*.f64 t t) #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)))
(* -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 (* (* (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 (pow t 2))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
Calls

12 calls:

TimeVariablePointExpression
4.0ms
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) (/ (* t t) 2) (exp (/ (* t t) 2)))
2.0ms
x
@-inf
((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (/ (* t t) 2) (exp (/ (* t t) 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) (/ (* t t) 2) (exp (/ (* t t) 2)))
2.0ms
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) (/ (* t t) 2) (exp (/ (* t t) 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) (/ (* t t) 2) (exp (/ (* t t) 2)))

simplify247.0ms (1.6%)

Memory
20.4MiB live, 256.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133612
1446483
21558432
34585429
08347417
Stop Event
iter limit
node limit
Counts
35 → 35
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)))
(* -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 (* (* (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 (pow t 2))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
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))
(* -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))))
(+ (* 1/2 (* (* (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)))
(* 1/2 (pow t 2))
(*.f64 (*.f64 t t) #s(literal 1/2 binary64))
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))

rewrite239.0ms (1.5%)

Memory
1.0MiB live, 320.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01546
02444
16343
228543
3234743
0865043
Stop Event
iter limit
node limit
iter limit
Counts
6 → 452
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))
(/.f64 (*.f64 t t) #s(literal 2 binary64))
(exp.f64 (/.f64 (*.f64 t t) #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 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) t) (*.f64 t #s(literal 1/2 binary64)))
(*.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)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 t) t))
(*.f64 (neg.f64 t) (*.f64 t #s(literal -1/2 binary64)))
(*.f64 (neg.f64 t) (/.f64 t #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))
(*.f64 (*.f64 t #s(literal 1/2 binary64)) (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 t #s(literal 1/2 binary64)) t)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (neg.f64 t) t) #s(literal -1/2 binary64))
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 t t) #s(literal 1/2 binary64))
(*.f64 t (*.f64 t #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) (/.f64 #s(literal 2 binary64) (*.f64 t t))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 t #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 2 binary64) t)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) t)) (neg.f64 (/.f64 #s(literal 2 binary64) t)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t))) #s(literal 2 binary64))
(/.f64 (*.f64 t #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) t))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 2 binary64) t))
(/.f64 (neg.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (pow.f64 t #s(literal -2 binary64))))
(/.f64 (neg.f64 t) (neg.f64 (/.f64 #s(literal 2 binary64) t)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (*.f64 t #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 t t)))
(/.f64 (*.f64 (neg.f64 t) t) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 t t) #s(literal 2 binary64))
(/.f64 t (/.f64 #s(literal 2 binary64) t))
(/.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))
(neg.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) #s(literal 1/2 binary64)))
(*.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)))

eval62.0ms (0.4%)

Memory
4.4MiB live, 122.1MiB allocated
Compiler

Compiled 16 282 to 1 830 computations (88.8% saved)

prune81.0ms (0.5%)

Memory
10.8MiB live, 48.9MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New45715472
Fresh000
Picked101
Done000
Total45815473
Accuracy
100.0%
Counts
473 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
73.1%
(*.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))))
98.9%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
99.8%
(*.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)))
99.4%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
95.4%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
93.5%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
85.3%
(*.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))))
55.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
59.4%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
64.2%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
92.2%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (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))))
86.3%
#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)))
94.1%
#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 842 to 644 computations (23.5% saved)

simplify208.0ms (1.4%)

Memory
-5.2MiB live, 70.6MiB 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)) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
cost-diff1280
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
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: 1 (0.0ms)

IterNodesCost
043357
077343
1132339
2222339
3421339
4855339
51253339
61673339
72814339
83664339
94073339
104246339
114380339
124396339
135278339
145622339
155622339
165622339
175622339
185622339
195624339
05624339
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 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
#s(literal 1/2 binary64)
x
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(neg.f64 y)
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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
y
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))
(sqrt.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)
(*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t))
(*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (exp.f64 t) t)
(exp.f64 t)
t
z
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) x y))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#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 #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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.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 #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 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(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 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)
z
#s(literal 1/2 binary64)
x
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(neg.f64 y)
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

localize273.0ms (1.8%)

Memory
-13.9MiB live, 154.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1328125
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
accuracy0.18999899044871377
(/.f64 (*.f64 t t) #s(literal 2 binary64))
accuracy0.2265625
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
accuracy0.2539041858302058
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
accuracy0.009070031620653759
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
accuracy0.18999899044871377
(*.f64 (*.f64 t t) #s(literal 1/2 binary64))
accuracy0.234375
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy0.2539041858302058
(*.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))))
accuracy0.20716680092995804
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))
accuracy0.234375
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy0.2539041858302058
(*.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))))
accuracy6.576620511154087
#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)))
accuracy0.0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy0.234375
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy0.2539041858302058
(*.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)))
accuracy30.580183282273367
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy0.0
(exp.f64 t)
accuracy0.01171875
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)
accuracy0.109375
(*.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)))
accuracy0.23078295370989008
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))
Samples
188.0ms256×0valid
Compiler

Compiled 693 to 86 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 25.0ms (50.2% of total)
ival-exp: 5.0ms (10% of total)
ival-sqrt: 5.0ms (10% of total)
ival-pow: 5.0ms (10% of total)
ival-add: 3.0ms (6% of total)
ival-sub: 3.0ms (6% of total)
ival-div: 2.0ms (4% of total)
exact: 1.0ms (2% of total)
ival-neg: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series150.0ms (1%)

Memory
3.8MiB live, 125.8MiB allocated
Counts
24 → 77
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))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64))
(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 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))
(*.f64 (*.f64 t t) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 t t) #s(literal 2 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 (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)))))
(* -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)))
(* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))
(* 1/2 (* (sqrt z) (sqrt 2)))
(* (sqrt z) (sqrt 2))
(* 2 (* z (exp (pow t 2))))
(* z (+ (* -1 (* (* y (sqrt 2)) (sqrt (/ 1 z)))) (* 1/2 (* (* x (sqrt 2)) (sqrt (/ 1 z))))))
(* z (* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (sqrt 2)) (sqrt (/ 1 z)))) (* 1/2 (* (* x (sqrt 2)) (sqrt (/ 1 z)))))))
(* -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 (* z (+ (* -1 (* (* y (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 z)))) (* 1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 z)))))))
(* -1 (* z (* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 z)))) (* 1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 z))))))))
(* -1/2 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))
(+ (* 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 (* (* y (sqrt 2)) (sqrt z))) (+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* 1/2 (* (pow t 2) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))) (* 1/2 (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* 1/2 (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))) (* 1/8 (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))))))))
(* 2 z)
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))
1
(+ 1 t)
(+ 1 (* t (+ 1 (* 1/2 t))))
(+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t))))))
(+ 1 (* 1/2 (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)))))))
1/2
(+ 1/2 (* 1/8 (pow t 2)))
(* 1/2 (pow t 2))
(exp t)
(exp (* 1/2 (pow t 2)))
(* 1/8 (pow t 2))
(* (pow t 2) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
Calls

12 calls:

TimeVariablePointExpression
58.0ms
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))) (+ (* (* (sqrt (* 2 z)) 1/2) x) (* (neg y) (sqrt (* 2 z)))) (* (+ (* (* (sqrt (* 2 z)) 1/2) x) (* (neg y) (sqrt (* 2 z)))) (exp (/ (* t t) 2))) (* (sqrt (* 2 z)) 1/2) (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) 1/2) (exp (* (* t t) 1/2)) (* (neg y) (sqrt (* 2 z))) (/ (* t t) 2))
33.0ms
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))) (+ (* (* (sqrt (* 2 z)) 1/2) x) (* (neg y) (sqrt (* 2 z)))) (* (+ (* (* (sqrt (* 2 z)) 1/2) x) (* (neg y) (sqrt (* 2 z)))) (exp (/ (* t t) 2))) (* (sqrt (* 2 z)) 1/2) (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) 1/2) (exp (* (* t t) 1/2)) (* (neg y) (sqrt (* 2 z))) (/ (* t t) 2))
10.0ms
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))) (+ (* (* (sqrt (* 2 z)) 1/2) x) (* (neg y) (sqrt (* 2 z)))) (* (+ (* (* (sqrt (* 2 z)) 1/2) x) (* (neg y) (sqrt (* 2 z)))) (exp (/ (* t t) 2))) (* (sqrt (* 2 z)) 1/2) (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) 1/2) (exp (* (* t t) 1/2)) (* (neg y) (sqrt (* 2 z))) (/ (* t t) 2))
10.0ms
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))) (+ (* (* (sqrt (* 2 z)) 1/2) x) (* (neg y) (sqrt (* 2 z)))) (* (+ (* (* (sqrt (* 2 z)) 1/2) x) (* (neg y) (sqrt (* 2 z)))) (exp (/ (* t t) 2))) (* (sqrt (* 2 z)) 1/2) (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) 1/2) (exp (* (* t t) 1/2)) (* (neg y) (sqrt (* 2 z))) (/ (* t t) 2))
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))) (+ (* (* (sqrt (* 2 z)) 1/2) x) (* (neg y) (sqrt (* 2 z)))) (* (+ (* (* (sqrt (* 2 z)) 1/2) x) (* (neg y) (sqrt (* 2 z)))) (exp (/ (* t t) 2))) (* (sqrt (* 2 z)) 1/2) (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) 1/2) (exp (* (* t t) 1/2)) (* (neg y) (sqrt (* 2 z))) (/ (* t t) 2))

simplify271.0ms (1.8%)

Memory
-1.1MiB live, 184.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02921574
110401331
240781196
377121196
082951153
Stop Event
iter limit
node limit
Counts
77 → 77
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 (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)))))
(* -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)))
(* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))
(* 1/2 (* (sqrt z) (sqrt 2)))
(* (sqrt z) (sqrt 2))
(* 2 (* z (exp (pow t 2))))
(* z (+ (* -1 (* (* y (sqrt 2)) (sqrt (/ 1 z)))) (* 1/2 (* (* x (sqrt 2)) (sqrt (/ 1 z))))))
(* z (* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (sqrt 2)) (sqrt (/ 1 z)))) (* 1/2 (* (* x (sqrt 2)) (sqrt (/ 1 z)))))))
(* -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 (* z (+ (* -1 (* (* y (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 z)))) (* 1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 z)))))))
(* -1 (* z (* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 z)))) (* 1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 z))))))))
(* -1/2 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))
(+ (* 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 (* (* y (sqrt 2)) (sqrt z))) (+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* 1/2 (* (pow t 2) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))) (* 1/2 (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* 1/2 (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))) (* 1/8 (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))))))))
(* 2 z)
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))
1
(+ 1 t)
(+ 1 (* t (+ 1 (* 1/2 t))))
(+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t))))))
(+ 1 (* 1/2 (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)))))))
1/2
(+ 1/2 (* 1/8 (pow t 2)))
(* 1/2 (pow t 2))
(exp t)
(exp (* 1/2 (pow t 2)))
(* 1/8 (pow t 2))
(* (pow t 2) (+ 1/8 (* 1/2 (/ 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 (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 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.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)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(* 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 (neg.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))))) 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)) (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 (neg.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))))) 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))
(* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (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))
(* 1/2 (* (sqrt z) (sqrt 2)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (* z (exp (pow t 2))))
(*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 (exp.f64 t) t))
(* z (+ (* -1 (* (* y (sqrt 2)) (sqrt (/ 1 z)))) (* 1/2 (* (* x (sqrt 2)) (sqrt (/ 1 z))))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) z)
(* z (* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (sqrt 2)) (sqrt (/ 1 z)))) (* 1/2 (* (* x (sqrt 2)) (sqrt (/ 1 z)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) z) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* -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 (* z (+ (* -1 (* (* y (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 z)))) (* 1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 z)))))))
(*.f64 (neg.f64 z) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.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)))))
(* -1 (* z (* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 z)))) (* 1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 z))))))))
(*.f64 (*.f64 (neg.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.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)))))
(* -1/2 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (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)))
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))
(*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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 #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 #s(literal 1/2 binary64) (*.f64 t t)) (*.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)))))))
(*.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 (fma.f64 #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)))) (* (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 (* (* y (sqrt 2)) (sqrt z))) (+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* 1/2 (* (pow t 2) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt 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)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))) (* 1/2 (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (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)) (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 (* (* y (sqrt 2)) (sqrt z))) (+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* 1/2 (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))) (* 1/8 (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))))))))
(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))))
(* 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
#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))
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))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(exp t)
(exp.f64 t)
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(* 1/8 (pow t 2))
(*.f64 #s(literal 1/8 binary64) (*.f64 t t))
(* (pow t 2) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))

rewrite511.0ms (3.3%)

Memory
-8.1MiB live, 372.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043231
077212
1221212
21035212
09005212
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 121
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))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64))
(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 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))
(*.f64 (*.f64 t t) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 t t) #s(literal 2 binary64))
Outputs
(*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
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(fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))
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(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))) (/.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/64 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/64 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))))
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(+.f64 (*.f64 (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
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(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/2 binary64))
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(pow.f64 (exp.f64 t) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
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(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) y)
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(*.f64 (neg.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y)
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(/.f64 t (/.f64 #s(literal 2 binary64) t))
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(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t))) #s(literal -1 binary64)))

eval119.0ms (0.8%)

Memory
21.0MiB live, 172.7MiB allocated
Compiler

Compiled 31 774 to 2 416 computations (92.4% saved)

prune58.0ms (0.4%)

Memory
11.2MiB live, 85.3MiB allocated
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New91421935
Fresh7310
Picked505
Done000
Total92624950
Accuracy
100.0%
Counts
950 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.4%
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 z #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) y))
50.9%
(/.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))
55.6%
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
50.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.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))))))
55.7%
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
93.0%
(*.f64 (fma.f64 (*.f64 x (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
94.2%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 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)))
84.8%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
55.7%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
95.4%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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))))
85.3%
(*.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))))
93.2%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(approx (+ (* 1/8 (* t t)) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1 binary64))))
94.1%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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)))))
55.6%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
94.6%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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))))
94.5%
(*.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))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
93.3%
(*.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))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
94.4%
(*.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))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
92.8%
(*.f64 #s(approx (+ (* (* (sqrt (* 2 z)) 1/2) x) (* (neg y) (sqrt (* 2 z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) z)) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
53.8%
(*.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)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
26.3%
(*.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)))
32.5%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
86.3%
#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 1 402 to 1 104 computations (21.3% saved)

simplify168.0ms (1.1%)

Memory
-23.8MiB live, 135.4MiB 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
(fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))
cost-diff0
(*.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)))
cost-diff0
(*.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))))
cost-diff0
(/.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))
cost-diff0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
cost-diff128
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
cost-diff960
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
cost-diff0
(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
053456
089447
1154445
2267445
3675445
41634445
52870445
64246445
75468445
87125445
97948445
08029444
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)
(*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))
#s(literal 2 binary64)
(pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)
#s(approx (exp t) (+.f64 #s(literal 1 binary64) t))
(+.f64 #s(literal 1 binary64) t)
#s(literal 1 binary64)
t
z
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(/.f64 (*.f64 (*.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 (*.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))))
(*.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)))
(fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))
(*.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(fma.f64 x #s(literal 1/2 binary64) y)
#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))))
(*.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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x y))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(/.f64 (*.f64 (*.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 (*.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))))
(*.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)))
(fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))
(*.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(fma.f64 x #s(literal 1/2 binary64) y)
#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))))
(*.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 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.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)))
#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)

localize202.0ms (1.3%)

Memory
-9.9MiB live, 243.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.234375
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy0.2539041858302058
(*.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))))
accuracy0.5116214082694468
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
accuracy3.9909934631352577
#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)))
accuracy1.4689905335142643
(*.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))))
accuracy3.8945106083020584
(*.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)))
accuracy9.695789690712331
(/.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))
accuracy30.580183282273367
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
accuracy0.0078125
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
accuracy0.16472626953688405
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
accuracy30.580183282273367
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) x)
accuracy0.109375
(*.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))))
accuracy0.23078295370989008
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))
accuracy30.356403794322688
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))
accuracy0.01171875
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)
accuracy0.109375
(*.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)))
accuracy0.23078295370989008
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))
accuracy29.908942421293954
#s(approx (exp t) (+.f64 #s(literal 1 binary64) t))
Samples
99.0ms256×0valid
Compiler

Compiled 842 to 103 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 36.0ms (49.8% of total)
ival-div: 9.0ms (12.4% of total)
ival-add: 7.0ms (9.7% of total)
ival-pow: 5.0ms (6.9% of total)
ival-exp: 4.0ms (5.5% of total)
const: 4.0ms (5.5% of total)
ival-sqrt: 3.0ms (4.1% of total)
ival-sub: 2.0ms (2.8% of total)
exact: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series109.0ms (0.7%)

Memory
24.0MiB live, 135.9MiB allocated
Counts
24 → 120
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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(/.f64 (*.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 (*.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))))
(*.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)))
(fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.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))
#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)) #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)
(- (* -1/2 (/ x (pow y 2))) (/ 1 y))
(- (* x (- (* -1/4 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(- (* x (- (* x (- (* -1/8 (/ x (pow y 4))) (* 1/4 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(* -1 (* (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/4 (* (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (pow y 2) (exp (* 1/2 (pow t 2)))))
(+ (* -1 (* (pow y 2) (exp (* 1/2 (pow t 2))))) (* 1/4 (* (pow x 2) (exp (* 1/2 (pow t 2))))))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(* -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 (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))))))
(/ 2 x)
(/ (+ 2 (* 4 (/ y x))) x)
(/ (- (+ 2 (* 8 (/ (pow y 2) (pow x 2)))) (* -4 (/ y x))) x)
(/ (- (+ 2 (* 16 (/ (pow y 3) (pow x 3)))) (+ (* -8 (/ (pow y 2) (pow x 2))) (* -4 (/ y x)))) x)
(* 1/4 (* (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/4 (* (pow x 2) (exp (* 1/2 (pow t 2)))))
(* (pow x 2) (+ (* -1 (/ (* (pow y 2) (exp (* 1/2 (pow t 2)))) (pow x 2))) (* 1/4 (exp (* 1/2 (pow t 2))))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 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 (/ (- (* -4 (/ y x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow y 2) x)) (* -4 y)) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow y 3) x)) (* 8 (pow y 2))) x)) (* -4 y)) x)) 2) x))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(+ (* -1 y) (* 1/2 x))
(+ (* 4 (/ y (pow x 2))) (* 2 (/ 1 x)))
(+ (* y (+ (* 8 (/ y (pow x 3))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(+ (* y (+ (* y (+ (* 16 (/ y (pow x 4))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 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)))))
(/ (- (* -1/2 (/ x y)) 1) y)
(/ (- (* -1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* 1/2 (/ x y)))) y)
(/ (- (* -1/8 (/ (pow x 3) (pow y 3))) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))) y)
(* (pow y 2) (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/4 (* (/ (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (pow y 2)) (sqrt z)))))
(* (pow y 2) (+ (* -1 (exp (* 1/2 (pow t 2)))) (* 1/4 (/ (* (pow x 2) (exp (* 1/2 (pow t 2)))) (pow y 2)))))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(* 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 (/ (+ 1 (* 1/2 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 3) y)) (* -1/4 (pow x 2))) y)) (* 1/2 x)) y))) y))
(* -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) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (/ (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* 2 (* z (exp (pow t 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) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (sqrt -1)))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (/ (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (+ y (* 1/2 x)))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 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)))))))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2))))))))
(* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))
(+ (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))) (sqrt z))) (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))))
(+ (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/8 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))) (sqrt z))) (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))))))
(+ (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))) (* (pow t 2) (+ (* 1/48 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))) (sqrt z))) (* 1/8 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))))))))
(* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))
(+ (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))))))
(+ (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))))))))
(+ (* -1 (pow y 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (* (pow t 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))))
(+ (* -1 (pow y 2)) (+ (* 1/4 (pow x 2)) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (* 1/2 (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))))
(+ (* -1 (pow y 2)) (+ (* 1/4 (pow x 2)) (* (pow t 2) (+ (* 1/2 (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (* 1/8 (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))))))
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 (* 1/2 (pow t 2))) (+ (* -1 (pow y 2)) (* 1/4 (pow x 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
30.0ms
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)) (/ (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (/ 1 (- (* x 1/2) y))) (/ 1 (- (* x 1/2) y)) (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (sqrt (* z 2)) (/ (* (* (+ (* (* 1/4 x) x) (* (neg y) y)) (exp (/ (* t t) 2))) (sqrt (* z 2))) (+ (* x 1/2) y)) (* (* (+ (* (* 1/4 x) x) (* (neg y) y)) (exp (/ (* t t) 2))) (sqrt (* z 2))) (* (+ (* (* 1/4 x) x) (* (neg y) y)) (exp (/ (* t t) 2))) (+ (* (* 1/4 x) x) (* (neg y) y)) (* (* (- (* 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) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8))
19.0ms
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)) (/ (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (/ 1 (- (* x 1/2) y))) (/ 1 (- (* x 1/2) y)) (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (sqrt (* z 2)) (/ (* (* (+ (* (* 1/4 x) x) (* (neg y) y)) (exp (/ (* t t) 2))) (sqrt (* z 2))) (+ (* x 1/2) y)) (* (* (+ (* (* 1/4 x) x) (* (neg y) y)) (exp (/ (* t t) 2))) (sqrt (* z 2))) (* (+ (* (* 1/4 x) x) (* (neg y) y)) (exp (/ (* t t) 2))) (+ (* (* 1/4 x) x) (* (neg y) y)) (* (* (- (* 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) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (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)) (/ (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (/ 1 (- (* x 1/2) y))) (/ 1 (- (* x 1/2) y)) (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (sqrt (* z 2)) (/ (* (* (+ (* (* 1/4 x) x) (* (neg y) y)) (exp (/ (* t t) 2))) (sqrt (* z 2))) (+ (* x 1/2) y)) (* (* (+ (* (* 1/4 x) x) (* (neg y) y)) (exp (/ (* t t) 2))) (sqrt (* z 2))) (* (+ (* (* 1/4 x) x) (* (neg y) y)) (exp (/ (* t t) 2))) (+ (* (* 1/4 x) x) (* (neg y) y)) (* (* (- (* 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) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8))
9.0ms
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)) (/ (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (/ 1 (- (* x 1/2) y))) (/ 1 (- (* x 1/2) y)) (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (sqrt (* z 2)) (/ (* (* (+ (* (* 1/4 x) x) (* (neg y) y)) (exp (/ (* t t) 2))) (sqrt (* z 2))) (+ (* x 1/2) y)) (* (* (+ (* (* 1/4 x) x) (* (neg y) y)) (exp (/ (* t t) 2))) (sqrt (* z 2))) (* (+ (* (* 1/4 x) x) (* (neg y) y)) (exp (/ (* t t) 2))) (+ (* (* 1/4 x) x) (* (neg y) y)) (* (* (- (* 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) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8))
6.0ms
y
@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)) (/ (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (/ 1 (- (* x 1/2) y))) (/ 1 (- (* x 1/2) y)) (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (sqrt (* z 2)) (/ (* (* (+ (* (* 1/4 x) x) (* (neg y) y)) (exp (/ (* t t) 2))) (sqrt (* z 2))) (+ (* x 1/2) y)) (* (* (+ (* (* 1/4 x) x) (* (neg y) y)) (exp (/ (* t t) 2))) (sqrt (* z 2))) (* (+ (* (* 1/4 x) x) (* (neg y) y)) (exp (/ (* t t) 2))) (+ (* (* 1/4 x) x) (* (neg y) y)) (* (* (- (* 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) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8))

simplify186.0ms (1.2%)

Memory
-23.9MiB live, 212.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05082726
116972501
261392286
081562170
Stop Event
iter limit
node limit
Counts
120 → 120
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)
(- (* -1/2 (/ x (pow y 2))) (/ 1 y))
(- (* x (- (* -1/4 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(- (* x (- (* x (- (* -1/8 (/ x (pow y 4))) (* 1/4 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(* -1 (* (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/4 (* (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (pow y 2) (exp (* 1/2 (pow t 2)))))
(+ (* -1 (* (pow y 2) (exp (* 1/2 (pow t 2))))) (* 1/4 (* (pow x 2) (exp (* 1/2 (pow t 2))))))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(* -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 (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))))))
(/ 2 x)
(/ (+ 2 (* 4 (/ y x))) x)
(/ (- (+ 2 (* 8 (/ (pow y 2) (pow x 2)))) (* -4 (/ y x))) x)
(/ (- (+ 2 (* 16 (/ (pow y 3) (pow x 3)))) (+ (* -8 (/ (pow y 2) (pow x 2))) (* -4 (/ y x)))) x)
(* 1/4 (* (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/4 (* (pow x 2) (exp (* 1/2 (pow t 2)))))
(* (pow x 2) (+ (* -1 (/ (* (pow y 2) (exp (* 1/2 (pow t 2)))) (pow x 2))) (* 1/4 (exp (* 1/2 (pow t 2))))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 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 (/ (- (* -4 (/ y x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow y 2) x)) (* -4 y)) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow y 3) x)) (* 8 (pow y 2))) x)) (* -4 y)) x)) 2) x))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(+ (* -1 y) (* 1/2 x))
(+ (* 4 (/ y (pow x 2))) (* 2 (/ 1 x)))
(+ (* y (+ (* 8 (/ y (pow x 3))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(+ (* y (+ (* y (+ (* 16 (/ y (pow x 4))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 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)))))
(/ (- (* -1/2 (/ x y)) 1) y)
(/ (- (* -1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* 1/2 (/ x y)))) y)
(/ (- (* -1/8 (/ (pow x 3) (pow y 3))) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))) y)
(* (pow y 2) (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/4 (* (/ (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (pow y 2)) (sqrt z)))))
(* (pow y 2) (+ (* -1 (exp (* 1/2 (pow t 2)))) (* 1/4 (/ (* (pow x 2) (exp (* 1/2 (pow t 2)))) (pow y 2)))))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(* 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 (/ (+ 1 (* 1/2 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 3) y)) (* -1/4 (pow x 2))) y)) (* 1/2 x)) y))) y))
(* -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) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (/ (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* 2 (* z (exp (pow t 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) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (sqrt -1)))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (/ (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (+ y (* 1/2 x)))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 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)))))))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2))))))))
(* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))
(+ (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))) (sqrt z))) (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))))
(+ (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/8 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))) (sqrt z))) (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))))))
(+ (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))) (* (pow t 2) (+ (* 1/48 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))) (sqrt z))) (* 1/8 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))))))))
(* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))
(+ (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))))))
(+ (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))))))))
(+ (* -1 (pow y 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (* (pow t 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))))
(+ (* -1 (pow y 2)) (+ (* 1/4 (pow x 2)) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (* 1/2 (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))))
(+ (* -1 (pow y 2)) (+ (* 1/4 (pow x 2)) (* (pow t 2) (+ (* 1/2 (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (* 1/8 (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))))))
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 (* 1/2 (pow t 2))) (+ (* -1 (pow y 2)) (* 1/4 (pow x 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 (*.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 (pow.f64 (exp.f64 t) t))) (sqrt.f64 z))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (* -1/2 (/ x (pow y 2))) (/ 1 y))
(/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)
(- (* x (- (* -1/4 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) x (/.f64 #s(literal -1 binary64) y))
(- (* x (- (* x (- (* -1/8 (/ x (pow y 4))) (* 1/4 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) x (/.f64 #s(literal -1 binary64) y))
(* -1 (* (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (*.f64 (*.f64 y y) (neg.f64 (sqrt.f64 z))) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* -1 (* (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/4 (* (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (sqrt.f64 z))
(* -1 (* (pow y 2) (exp (* 1/2 (pow t 2)))))
(*.f64 (*.f64 (neg.f64 y) y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))
(+ (* -1 (* (pow y 2) (exp (* 1/2 (pow t 2))))) (* 1/4 (* (pow x 2) (exp (* 1/2 (pow t 2))))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y))
(* -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))
(* 1/2 (* (* 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 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) 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)))
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(+ (* (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 (fma.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 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 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)) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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) (+ (* 1/48 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)))) (*.f64 t t) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x y)) (sqrt.f64 z))
(+ (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))) (sqrt z))) (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x y))))
(+ (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/8 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))) (sqrt z))) (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))))))
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.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 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x y)) (sqrt.f64 z)))
(+ (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))) (* (pow t 2) (+ (* 1/48 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))) (sqrt z))) (* 1/8 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x y)) (*.f64 t t)) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x y))) (*.f64 t t) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x y)) (sqrt.f64 z)))
(* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))))))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) 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 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(+ (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))))))))
(fma.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (*.f64 t t)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))) (*.f64 t t)))
(+ (* -1 (pow y 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (* (pow t 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)))
(+ (* -1 (pow y 2)) (+ (* 1/4 (pow x 2)) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (* 1/2 (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)))
(+ (* -1 (pow y 2)) (+ (* 1/4 (pow x 2)) (* (pow t 2) (+ (* 1/2 (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (* 1/8 (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)))))
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 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))
(+ (* 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 (* 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 (* 1/2 (pow t 2))) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))
(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))

rewrite195.0ms (1.3%)

Memory
19.9MiB live, 216.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053314
089299
1290295
21631295
08345295
Stop Event
iter limit
node limit
iter limit
Counts
24 → 883
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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(/.f64 (*.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 (*.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))))
(*.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)))
(fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.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))
#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)) #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
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (pow.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))))
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(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 (*.f64 t t) #s(literal 1/48 binary64) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal -1/8 binary64)))))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #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 (*.f64 t t) #s(literal 1/48 binary64)))) (/.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) #s(literal 1/48 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal -1/8 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal -1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal -1/8 binary64)))))
(+.f64 (*.f64 (*.f64 t t) #s(literal 1/48 binary64)) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) #s(literal 1/48 binary64)))

eval201.0ms (1.3%)

Memory
11.4MiB live, 166.1MiB allocated
Compiler

Compiled 36 045 to 2 907 computations (91.9% saved)

prune102.0ms (0.7%)

Memory
-20.5MiB live, 63.2MiB allocated
Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New89523918
Fresh91019
Picked415
Done000
Total90834942
Accuracy
100.0%
Counts
942 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.7%
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))))
71.7%
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (*.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))))) (fma.f64 x #s(literal 1/2 binary64) y))
55.5%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
68.4%
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
48.9%
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1/4 binary64)) x) x)) #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))
53.4%
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/4 binary64) #s(literal -1 binary64)) 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))
23.2%
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #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))
31.9%
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.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))
26.3%
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
32.6%
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
50.5%
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))))
94.2%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))))
96.1%
(*.f64 (-.f64 (*.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)))))
84.8%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
93.5%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
55.7%
(*.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))))
73.3%
(*.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.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))))
31.5%
(*.f64 (*.f64 (/.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))
95.2%
(*.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 (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))))
95.4%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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))))
95.3%
(*.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))))
85.3%
(*.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))))
93.2%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(approx (+ (* 1/8 (* t t)) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1 binary64))))
55.6%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
94.6%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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))))
96.1%
(*.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 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
94.4%
(*.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))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
53.2%
(*.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))))
54.2%
(*.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))))
65.3%
(*.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)))
32.6%
(*.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))))
53.8%
(*.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)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
26.3%
(*.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)))
32.5%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
Compiler

Compiled 2 117 to 1 607 computations (24.1% saved)

simplify203.0ms (1.3%)

Memory
1.8MiB live, 113.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
053517
090506
1164506
2281506
3721506
41871506
52750506
63785506
75162506
86863506
97990506
08020506
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.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 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
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))))
#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 (*.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 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(*.f64 t t)
t
#s(literal 1/48 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
(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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
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 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 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(*.f64 (sqrt.f64 (*.f64 z #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))))
(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 (*.f64 t t) #s(literal 1/8 binary64) #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 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(*.f64 t t)
t
#s(literal 1/8 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 z)
z
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (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 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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(-.f64 (*.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
(*.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 (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 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)))
(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 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 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 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
(*.f64 t t)
t
#s(literal 1/48 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
(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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #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 #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 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 (*.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 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
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 (*.f64 t t) #s(literal 1/8 binary64) #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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 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 (*.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 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))
(*.f64 t t)
t
#s(literal 1/8 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (-.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
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 z)
z
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (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)

localize248.0ms (1.6%)

Memory
18.1MiB live, 170.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2539041858302058
(*.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 (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))))
accuracy0.44369125976844204
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
accuracy0.5116214082694468
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
accuracy3.9909934631352577
#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)))
accuracy0.045253759768442016
(fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
accuracy0.109375
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))))
accuracy0.20716680092995804
(fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
accuracy6.576620511154087
#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)))
accuracy0.00390625
(*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
accuracy0.15234375
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
accuracy0.43359375
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))
accuracy30.580183282273367
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy0.109375
(*.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))))
accuracy0.23078295370989008
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))
accuracy29.619018446809125
#s(approx (- (* 1/2 x) y) (neg.f64 y))
accuracy30.356403794322688
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))
accuracy0.03515625
(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))
accuracy0.109375
(*.f64 (-.f64 (*.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)))))
accuracy0.5116214082694468
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
accuracy3.9909934631352577
#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)))
Samples
165.0ms256×0valid
Compiler

Compiled 906 to 111 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-mult: 78.0ms (69.4% of total)
ival-add: 8.0ms (7.1% of total)
ival-sqrt: 6.0ms (5.3% of total)
ival-pow: 5.0ms (4.4% of total)
ival-exp: 4.0ms (3.6% of total)
const: 4.0ms (3.6% of total)
ival-sub: 3.0ms (2.7% of total)
ival-div: 2.0ms (1.8% of total)
exact: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series103.0ms (0.7%)

Memory
21.6MiB live, 63.3MiB allocated
Counts
26 → 90
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.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 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
(*.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 #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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (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))) #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 (-.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 (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 (sqrt.f64 z) (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)))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 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))
#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)))
#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 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 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))
#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))
(*.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)
(- (* 1/2 x) y)
(* 1/2 x)
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* -1 (* y (sqrt 2)))
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* 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 (* 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 (- (/ y x) 1/2)))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) 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 (- (* 1/2 (/ x y)) 1))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) 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 (+ 1 (* -1/2 (/ x 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 (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))
(* (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)))
(* 2 (* z (exp (pow t 2))))
(* (sqrt z) (exp (* 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 (* 1/2 (pow t 2))) (* (sqrt -2) (sqrt -1)))))
(* -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) (* (exp (* 1/2 (pow t 2))) (pow (sqrt -1) 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 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2))))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))
(+ (* (sqrt z) (sqrt 2)) (* (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
(+ 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)))
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)))
(* 1/48 (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))))))
(* 1/8 (pow t 2))
(* (pow t 2) (+ 1/8 (* 1/2 (/ 1 (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
52.0ms
z
@0
((* (- (* x 1/2) y) (* (exp (/ (* t t) 2)) (sqrt (* z 2)))) (- (* x 1/2) y) (* x 1/2) (* (exp (/ (* t t) 2)) (sqrt (* z 2))) (* (- (* 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) y) (sqrt 2)) (* (sqrt z) (exp (/ (* t t) 2)))) (* (- (* x 1/2) y) (sqrt 2)) (* (- (* x 1/2) y) (* (sqrt (* z 2)) (exp (/ (* t t) 2)))) (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2)) (+ (* (* t t) 1/48) 1/8) (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (* (sqrt z) (exp (/ (* t t) 2))) (exp (/ (* t t) 2)) (+ (* (* t t) 1/8) 1/2) (+ (* (+ (* (* t t) 1/8) 1/2) (* t t)) 1) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (* (sqrt z) (sqrt 2)))
12.0ms
z
@-inf
((* (- (* x 1/2) y) (* (exp (/ (* t t) 2)) (sqrt (* z 2)))) (- (* x 1/2) y) (* x 1/2) (* (exp (/ (* t t) 2)) (sqrt (* z 2))) (* (- (* 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) y) (sqrt 2)) (* (sqrt z) (exp (/ (* t t) 2)))) (* (- (* x 1/2) y) (sqrt 2)) (* (- (* x 1/2) y) (* (sqrt (* z 2)) (exp (/ (* t t) 2)))) (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2)) (+ (* (* t t) 1/48) 1/8) (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (* (sqrt z) (exp (/ (* t t) 2))) (exp (/ (* t t) 2)) (+ (* (* t t) 1/8) 1/2) (+ (* (+ (* (* t t) 1/8) 1/2) (* t t)) 1) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (* (sqrt z) (sqrt 2)))
10.0ms
z
@inf
((* (- (* x 1/2) y) (* (exp (/ (* t t) 2)) (sqrt (* z 2)))) (- (* x 1/2) y) (* x 1/2) (* (exp (/ (* t t) 2)) (sqrt (* z 2))) (* (- (* 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) y) (sqrt 2)) (* (sqrt z) (exp (/ (* t t) 2)))) (* (- (* x 1/2) y) (sqrt 2)) (* (- (* x 1/2) y) (* (sqrt (* z 2)) (exp (/ (* t t) 2)))) (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2)) (+ (* (* t t) 1/48) 1/8) (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (* (sqrt z) (exp (/ (* t t) 2))) (exp (/ (* t t) 2)) (+ (* (* t t) 1/8) 1/2) (+ (* (+ (* (* t t) 1/8) 1/2) (* t t)) 1) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (* (sqrt z) (sqrt 2)))
3.0ms
x
@-inf
((* (- (* x 1/2) y) (* (exp (/ (* t t) 2)) (sqrt (* z 2)))) (- (* x 1/2) y) (* x 1/2) (* (exp (/ (* t t) 2)) (sqrt (* z 2))) (* (- (* 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) y) (sqrt 2)) (* (sqrt z) (exp (/ (* t t) 2)))) (* (- (* x 1/2) y) (sqrt 2)) (* (- (* x 1/2) y) (* (sqrt (* z 2)) (exp (/ (* t t) 2)))) (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2)) (+ (* (* t t) 1/48) 1/8) (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (* (sqrt z) (exp (/ (* t t) 2))) (exp (/ (* t t) 2)) (+ (* (* t t) 1/8) 1/2) (+ (* (+ (* (* t t) 1/8) 1/2) (* t t)) 1) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (* (sqrt z) (sqrt 2)))
3.0ms
t
@inf
((* (- (* x 1/2) y) (* (exp (/ (* t t) 2)) (sqrt (* z 2)))) (- (* x 1/2) y) (* x 1/2) (* (exp (/ (* t t) 2)) (sqrt (* z 2))) (* (- (* 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) y) (sqrt 2)) (* (sqrt z) (exp (/ (* t t) 2)))) (* (- (* x 1/2) y) (sqrt 2)) (* (- (* x 1/2) y) (* (sqrt (* z 2)) (exp (/ (* t t) 2)))) (* (sqrt (* z 2)) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2)) (+ (* (* t t) 1/48) 1/8) (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (* (sqrt z) (exp (/ (* t t) 2))) (exp (/ (* t t) 2)) (+ (* (* t t) 1/8) 1/2) (+ (* (+ (* (* t t) 1/8) 1/2) (* t t)) 1) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (* (sqrt z) (sqrt 2)))

simplify227.0ms (1.5%)

Memory
-1.3MiB live, 108.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03141605
110731469
238391270
080881221
Stop Event
iter limit
node limit
Counts
90 → 90
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)
(- (* 1/2 x) y)
(* 1/2 x)
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* -1 (* y (sqrt 2)))
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* 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 (* 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 (- (/ y x) 1/2)))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) 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 (- (* 1/2 (/ x y)) 1))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) 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 (+ 1 (* -1/2 (/ x 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 (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))
(* (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)))
(* 2 (* z (exp (pow t 2))))
(* (sqrt z) (exp (* 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 (* 1/2 (pow t 2))) (* (sqrt -2) (sqrt -1)))))
(* -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) (* (exp (* 1/2 (pow t 2))) (pow (sqrt -1) 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 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2))))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))
(+ (* (sqrt z) (sqrt 2)) (* (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
(+ 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)))
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)))
(* 1/48 (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))))))
(* 1/8 (pow t 2))
(* (pow t 2) (+ 1/8 (* 1/2 (/ 1 (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 (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (neg.f64 (*.f64 y (sqrt.f64 z))) (*.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 (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)
(neg.f64 y)
(- (* 1/2 x) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
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(*.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 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))) (pow.f64 t #s(literal 4 binary64)))
(* 1/8 (pow t 2))
(*.f64 #s(literal 1/8 binary64) (*.f64 t t))
(* (pow t 2) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))
(* 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))

rewrite282.0ms (1.8%)

Memory
10.6MiB live, 162.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053381
090367
1308366
21345366
08326366
Stop Event
iter limit
node limit
iter limit
Counts
26 → 540
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.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 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
(*.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 #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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (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))) #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 (-.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 (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 (sqrt.f64 z) (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)))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 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))
#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)))
#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 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 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))
#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))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
Outputs
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 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))))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.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))))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 #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 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y))) #s(literal -1 binary64)))
(*.f64 (*.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 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.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 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 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 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (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 #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 #s(literal 1/2 binary64) x) 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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.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 #s(literal 1/2 binary64) x) y))
(*.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 #s(literal 1/2 binary64) x) y)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.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 #s(literal 1/2 binary64) x) (*.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 (neg.f64 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 (neg.f64 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 #s(literal 1/2 binary64) x) (*.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 (neg.f64 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 (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (neg.f64 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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (neg.f64 y)))) (-.f64 (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (neg.f64 y))))
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(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 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 t t)))))
(-.f64 (/.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/2304 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 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/2304 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)))
(*.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))
(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)))

eval119.0ms (0.8%)

Memory
-9.7MiB live, 227.7MiB allocated
Compiler

Compiled 32 627 to 2 642 computations (91.9% saved)

prune95.0ms (0.6%)

Memory
-10.0MiB live, 121.1MiB allocated
Pruning

43 alts after pruning (41 fresh and 2 done)

PrunedKeptTotal
New68618704
Fresh52328
Picked415
Done011
Total69543738
Accuracy
100.0%
Counts
738 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.7%
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))))
55.5%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
68.4%
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
48.9%
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1/4 binary64)) x) x)) #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))
53.4%
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/4 binary64) #s(literal -1 binary64)) 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))
23.2%
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #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))
32.6%
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
86.9%
(*.f64 (fma.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) (*.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)))))
50.5%
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))))
95.9%
(*.f64 (-.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))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
94.2%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))))
93.9%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(approx (+ (* (* t t) 1/8) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1 binary64)))))
96.1%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
96.1%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
85.3%
(*.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)))))
84.8%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
93.5%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
55.7%
(*.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))))
31.5%
(*.f64 (*.f64 (/.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))
95.4%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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))))
95.3%
(*.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))))
85.3%
(*.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))))
93.2%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(approx (+ (* 1/8 (* t t)) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1 binary64))))
55.6%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt z) (exp (/ (* t t) 2))) (sqrt.f64 z)))
94.6%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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))))
96.0%
(*.f64 (*.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 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
74.3%
(*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x 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)))))
60.5%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
32.6%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
96.1%
(*.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 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
95.2%
(*.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 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 #s(literal 2 binary64)))
60.6%
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))))
62.1%
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 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)))))
32.6%
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (neg.f64 (*.f64 y y)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
53.2%
(*.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))))
54.2%
(*.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))))
32.6%
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
65.3%
(*.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)))
54.6%
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
32.6%
(*.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))))
53.8%
(*.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)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
26.3%
(*.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)))
32.5%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
Compiler

Compiled 3 755 to 1 414 computations (62.3% saved)

regimes360.0ms (2.3%)

Memory
24.2MiB live, 538.2MiB allocated
Counts
78 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.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 (*.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 (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (neg.f64 (*.f64 y y)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (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 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #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 (fma.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.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) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(approx (+ (* 1/8 (* t t)) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(approx (+ (* (* t t) 1/8) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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 (-.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) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (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 #s(approx (- (* x 1/2) y) (neg.f64 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 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (*.f64 (*.f64 (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 (*.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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (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 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))) (sqrt.f64 #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))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.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 (-.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 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(*.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 (*.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 (*.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 #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 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) 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 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 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.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))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) 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)) (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 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.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 #s(literal 1/2 binary64) x) 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 (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 (*.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 #s(literal 2 binary64))) (sqrt.f64 z)))
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/4 binary64) #s(literal -1 binary64)) 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 (*.f64 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1/4 binary64)) x) x)) #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 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 z #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) y))
(*.f64 (fma.f64 (*.f64 x (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (fma.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) (*.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)))))
#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 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (*.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))))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (/.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x 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 (*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.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))))
(*.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 (*.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 #s(literal 1 binary64) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 #s(approx (+ (* (* (sqrt (* 2 z)) 1/2) x) (* (neg y) (sqrt (* 2 z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) z)) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (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))))
(*.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 (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 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (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))))
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:

82.0ms
(*.f64 z #s(literal 2 binary64))
31.0ms
z
25.0ms
y
25.0ms
x
23.0ms
(*.f64 x #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1t
99.8%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
99.8%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
99.8%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
99.8%1(*.f64 x #s(literal 1/2 binary64))
99.8%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
99.8%1(*.f64 z #s(literal 2 binary64))
99.8%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
99.8%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
99.8%1(*.f64 t t)
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes293.0ms (1.9%)

Memory
1.7MiB live, 526.0MiB allocated
Counts
74 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.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 (*.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 (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (neg.f64 (*.f64 y y)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (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 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #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 (fma.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.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) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(approx (+ (* 1/8 (* t t)) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(approx (+ (* (* t t) 1/8) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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 (-.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) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (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 #s(approx (- (* x 1/2) y) (neg.f64 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 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (*.f64 (*.f64 (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 (*.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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (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 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))) (sqrt.f64 #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))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.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 (-.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 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(*.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 (*.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))))
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(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
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(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 #s(approx (+ (* (* (sqrt (* 2 z)) 1/2) x) (* (neg y) (sqrt (* 2 z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) z)) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (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))))
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:

27.0ms
y
26.0ms
(*.f64 t t)
26.0ms
t
23.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
23.0ms
(*.f64 x #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1z
99.7%1t
99.7%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
99.7%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
99.7%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
99.7%1(*.f64 x #s(literal 1/2 binary64))
99.7%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
99.7%1(*.f64 z #s(literal 2 binary64))
99.7%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
99.7%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
99.7%1(*.f64 t t)
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes329.0ms (2.1%)

Memory
2.8MiB live, 343.7MiB allocated
Counts
65 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.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 (*.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 (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (neg.f64 (*.f64 y y)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (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 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #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 (fma.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.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) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(approx (+ (* 1/8 (* t t)) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(approx (+ (* (* t t) 1/8) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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 (-.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) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (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 #s(approx (- (* x 1/2) y) (neg.f64 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 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (*.f64 (*.f64 (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 (*.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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (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 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))) (sqrt.f64 #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))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.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 (-.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 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(*.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 (*.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 (*.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 #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 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) 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 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 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.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))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) 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)) (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 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.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 #s(literal 1/2 binary64) x) 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 (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 (*.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 #s(literal 2 binary64))) (sqrt.f64 z)))
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/4 binary64) #s(literal -1 binary64)) 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 (*.f64 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1/4 binary64)) x) x)) #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 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 z #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) y))
(*.f64 (fma.f64 (*.f64 x (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (fma.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) (*.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)))))
#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 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (*.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))))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (/.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x 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 (*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.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))))
(*.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 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
Calls

13 calls:

44.0ms
(*.f64 z #s(literal 2 binary64))
42.0ms
y
42.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
25.0ms
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
23.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
96.1%1x
96.1%1y
96.1%1z
96.1%1t
96.1%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))))
96.1%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
96.1%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
96.1%1(*.f64 x #s(literal 1/2 binary64))
96.1%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
96.1%1(*.f64 z #s(literal 2 binary64))
96.1%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
96.1%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
96.1%1(*.f64 t t)
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes509.0ms (3.3%)

Memory
-8.3MiB live, 395.7MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.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 (*.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 (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (neg.f64 (*.f64 y y)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (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 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #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 (fma.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.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) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(approx (+ (* 1/8 (* t t)) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(approx (+ (* (* t t) 1/8) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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 (-.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) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (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 #s(approx (- (* x 1/2) y) (neg.f64 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 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (*.f64 (*.f64 (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 (*.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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (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 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))) (sqrt.f64 #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))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.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 (-.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 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(*.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 (*.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 (*.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 #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))))
Outputs
(*.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 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Calls

13 calls:

302.0ms
z
43.0ms
t
20.0ms
x
17.0ms
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
16.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
96.1%1t
96.1%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
96.1%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
96.1%1(*.f64 t t)
96.1%1x
96.1%1y
96.1%1z
96.1%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
96.1%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
96.1%1(*.f64 x #s(literal 1/2 binary64))
96.1%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
96.1%1(*.f64 z #s(literal 2 binary64))
96.1%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))))
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes167.0ms (1.1%)

Memory
17.0MiB live, 263.2MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.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 (*.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 (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (neg.f64 (*.f64 y y)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (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 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #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 (fma.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.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) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(approx (+ (* 1/8 (* t t)) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(approx (+ (* (* t t) 1/8) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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 (-.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) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (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 #s(approx (- (* x 1/2) y) (neg.f64 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 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (*.f64 (*.f64 (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 (*.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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (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 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))) (sqrt.f64 #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))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.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 (-.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 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
Calls

13 calls:

15.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
15.0ms
(*.f64 x #s(literal 1/2 binary64))
14.0ms
t
13.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
13.0ms
(*.f64 z #s(literal 2 binary64))
Results
AccuracySegmentsBranch
96.1%1x
96.1%1(*.f64 x #s(literal 1/2 binary64))
96.1%1y
96.1%1t
96.1%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))))
96.1%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
96.1%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
96.1%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
96.1%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
96.1%1(*.f64 t t)
96.1%1z
96.1%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
96.1%1(*.f64 z #s(literal 2 binary64))
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes218.0ms (1.4%)

Memory
-18.6MiB live, 294.9MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.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 (*.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 (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (neg.f64 (*.f64 y y)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (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 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #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 (fma.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.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) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(approx (+ (* 1/8 (* t t)) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(approx (+ (* (* t t) 1/8) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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 (-.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) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (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 #s(approx (- (* x 1/2) y) (neg.f64 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 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (*.f64 (*.f64 (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 (*.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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (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 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))) (sqrt.f64 #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))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.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 (-.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))))
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(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))))
Calls

13 calls:

39.0ms
z
30.0ms
x
18.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
16.0ms
(*.f64 z #s(literal 2 binary64))
14.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
95.3%1x
95.3%1y
95.3%1z
95.3%1t
95.3%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
95.3%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
95.3%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
95.3%1(*.f64 x #s(literal 1/2 binary64))
95.3%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
95.3%1(*.f64 z #s(literal 2 binary64))
95.3%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
95.3%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
95.3%1(*.f64 t t)
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes240.0ms (1.6%)

Memory
-10.9MiB live, 267.3MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.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 (*.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 (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (neg.f64 (*.f64 y y)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (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 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #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 (fma.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.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) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(approx (+ (* 1/8 (* t t)) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(approx (+ (* (* t t) 1/8) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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 (-.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) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (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 #s(approx (- (* x 1/2) y) (neg.f64 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 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (*.f64 (*.f64 (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 (*.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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (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 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))) (sqrt.f64 #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))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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))))
Calls

13 calls:

45.0ms
(*.f64 x #s(literal 1/2 binary64))
23.0ms
t
15.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
14.0ms
(*.f64 z #s(literal 2 binary64))
14.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
94.6%1x
94.6%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))))
94.6%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
94.6%1(*.f64 x #s(literal 1/2 binary64))
94.6%1y
94.6%1z
94.6%1t
94.6%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
94.6%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
94.6%1(*.f64 z #s(literal 2 binary64))
94.6%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
94.6%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
94.6%1(*.f64 t t)
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes126.0ms (0.8%)

Memory
32.8MiB live, 192.6MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.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 (*.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 (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (neg.f64 (*.f64 y y)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (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 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #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 (fma.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.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) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(approx (+ (* 1/8 (* t t)) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(approx (+ (* (* t t) 1/8) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1 binary64)))))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(approx (+ (* (* t t) 1/8) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1 binary64)))))
Calls

13 calls:

15.0ms
(*.f64 t t)
13.0ms
(*.f64 z #s(literal 2 binary64))
12.0ms
z
11.0ms
(*.f64 x #s(literal 1/2 binary64))
9.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
93.9%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
93.9%1x
93.9%1z
93.9%1t
93.9%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
93.9%1(*.f64 x #s(literal 1/2 binary64))
93.9%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
93.9%1(*.f64 z #s(literal 2 binary64))
93.9%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
93.9%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
93.9%1(*.f64 t t)
93.9%1y
93.9%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))))
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes181.0ms (1.2%)

Memory
-27.6MiB live, 213.9MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.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 (*.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 (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (neg.f64 (*.f64 y y)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))))
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (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 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/4 x) x) (* (neg y) y)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #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 (fma.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.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) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(approx (+ (* 1/8 (* t t)) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #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 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
Calls

13 calls:

41.0ms
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
30.0ms
(*.f64 t t)
18.0ms
x
14.0ms
(*.f64 z #s(literal 2 binary64))
11.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Results
AccuracySegmentsBranch
93.5%1x
93.5%1y
93.5%1z
93.5%1t
93.5%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
93.5%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
93.5%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
93.5%1(*.f64 x #s(literal 1/2 binary64))
93.5%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
93.5%1(*.f64 z #s(literal 2 binary64))
93.5%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
93.5%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
93.5%1(*.f64 t t)
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes91.0ms (0.6%)

Memory
0.9MiB live, 158.8MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.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 (*.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 (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (neg.f64 (*.f64 y y)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 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)))))
Outputs
(*.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 (-.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:

17.0ms
z
8.0ms
(*.f64 x #s(literal 1/2 binary64))
8.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
7.0ms
x
6.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Results
AccuracySegmentsBranch
85.3%1y
87.9%2z
87.9%2(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
87.9%2(*.f64 z #s(literal 2 binary64))
85.3%1x
85.3%1t
85.3%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
85.3%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
85.3%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
85.3%1(*.f64 x #s(literal 1/2 binary64))
85.3%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
85.3%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
85.3%1(*.f64 t t)
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes18.0ms (0.1%)

Memory
20.6MiB live, 20.6MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.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 (*.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 (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (neg.f64 (*.f64 y y)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
Calls

3 calls:

6.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
6.0ms
(*.f64 z #s(literal 2 binary64))
5.0ms
z
Results
AccuracySegmentsBranch
87.9%2z
87.9%2(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
87.9%2(*.f64 z #s(literal 2 binary64))
Compiler

Compiled 8 to 17 computations (-112.5% saved)

regimes2.4s (15.6%)

Memory
12.7MiB live, 172.2MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.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 (*.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 (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (neg.f64 (*.f64 y y)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #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:

1.4s
(/.f64 (*.f64 t t) #s(literal 2 binary64))
919.0ms
y
8.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
7.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
6.0ms
x
Results
AccuracySegmentsBranch
84.8%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
84.8%1x
84.8%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
84.8%1(*.f64 x #s(literal 1/2 binary64))
84.8%1t
84.8%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
84.8%1(*.f64 t t)
84.8%1y
84.8%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
84.8%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
84.8%1z
84.8%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
84.8%1(*.f64 z #s(literal 2 binary64))
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes48.0ms (0.3%)

Memory
-1.0MiB live, 115.0MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.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 (*.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 (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (neg.f64 (*.f64 y y)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #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 t t)
5.0ms
(*.f64 z #s(literal 2 binary64))
4.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
3.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
3.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
73.9%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))))
66.0%3x
58.0%2z
60.4%3(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
60.7%3(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
66.0%3(*.f64 x #s(literal 1/2 binary64))
58.0%2(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
58.0%2(*.f64 z #s(literal 2 binary64))
63.4%3y
75.9%2t
75.9%2(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
75.9%2(/.f64 (*.f64 t t) #s(literal 2 binary64))
75.9%2(*.f64 t t)
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes22.0ms (0.1%)

Memory
-10.7MiB live, 71.8MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.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))))
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
Calls

13 calls:

3.0ms
(/.f64 (*.f64 t t) #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)))
2.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
2.0ms
(*.f64 z #s(literal 2 binary64))
Results
AccuracySegmentsBranch
55.7%1z
55.7%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
55.7%1(*.f64 z #s(literal 2 binary64))
55.7%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
55.7%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
55.7%1y
55.7%1x
55.7%1(*.f64 x #s(literal 1/2 binary64))
55.7%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))))
55.7%1t
55.7%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
55.7%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
55.7%1(*.f64 t t)
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes17.0ms (0.1%)

Memory
7.0MiB live, 45.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

13 calls:

2.0ms
(*.f64 z #s(literal 2 binary64))
1.0ms
(*.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))))
1.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
1.0ms
(*.f64 x #s(literal 1/2 binary64))
1.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Results
AccuracySegmentsBranch
32.6%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
32.6%1x
32.6%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
32.6%1(*.f64 x #s(literal 1/2 binary64))
32.6%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
32.6%1y
32.6%1z
32.6%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
32.6%1(*.f64 z #s(literal 2 binary64))
32.6%1t
32.6%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))))
32.6%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
32.6%1(*.f64 t t)
Compiler

Compiled 60 to 88 computations (-46.7% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.677843739201147e+142
1.9600904678719034e+152
Compiler

Compiled 20 to 23 computations (-15% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.677843739201147e+142
1.9600904678719034e+152
Compiler

Compiled 20 to 23 computations (-15% saved)

bsearch13.0ms (0.1%)

Memory
-15.9MiB live, 23.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
1.670491926390528e-7
5.95071946581214e-7
Samples
8.0ms80×0valid
Compiler

Compiled 240 to 217 computations (9.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (53.1% of total)
ival-exp: 1.0ms (17.7% of total)
ival-sqrt: 1.0ms (17.7% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify78.0ms (0.5%)

Memory
-5.8MiB live, 35.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112493
1141493
2159493
3169493
4187493
5209493
6284493
7574493
83513493
97697493
Stop Event
node 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 (*.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) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) t #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 (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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 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))) (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(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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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 (*.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 #s(approx (+ (* (* t t) 1/8) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
(if (<=.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 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 (-.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 z #s(literal 2 binary64)) #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 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 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(if (<=.f64 (*.f64 t t) #s(literal 1369486280032197/2361183241434822606848 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))))
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
(*.f64 (-.f64 (*.f64 #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) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) t #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 (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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 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))) (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(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 (-.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 (+ (* (* t t) 1/48) 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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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 (*.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 #s(approx (+ (* (* t t) 1/8) 1/2) (*.f64 #s(literal 1/8 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
(if (<=.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 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 (-.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 z #s(literal 2 binary64)) #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 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 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))
(if (<=.f64 (*.f64 t t) #s(literal 1369486280032197/2361183241434822606848 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))))

soundness1.9s (12.6%)

Memory
20.4MiB live, 1 132.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053381
090367
1308366
21345366
08326366
01546
02444
16343
228543
3234743
0865043
0133612
1446483
21558432
34585429
08347417
053314
089299
1290295
21631295
08345295
02921574
110401331
240781196
377121196
082951153
03141605
110731469
238391270
080881221
043231
077212
1221212
21035212
09005212
05082726
116972501
261392286
081562170
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 457 to 779 computations (46.5% saved)

preprocess209.0ms (1.4%)

Memory
16.1MiB live, 208.2MiB allocated
Remove

(abs t)

Compiler

Compiled 1 134 to 340 computations (70% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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