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

Time bar (total: 10.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze217.0ms (2%)

Memory
-11.2MiB live, 177.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
50%49.9%49.9%0.2%0%0%0%4
50%49.9%49.9%0.2%0%0%0%5
50%49.9%49.9%0.2%0%0%0%6
50%49.9%49.9%0.2%0%0%0%7
66.7%49.9%25%0.2%0%25%0%8
66.7%49.9%25%0.2%0%25%0%9
66.7%49.9%25%0.2%0%25%0%10
66.7%49.9%25%0.2%0%25%0%11
80%49.9%12.5%0.2%0%37.4%0%12
Compiler

Compiled 19 to 17 computations (10.5% saved)

sample2.1s (19.5%)

Memory
48.1MiB live, 2 702.5MiB allocated
Samples
1.2s8 256×0valid
411.0ms2 181×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 758.0ms (63.2% of total)
ival-sub: 149.0ms (12.4% of total)
ival-div: 94.0ms (7.8% of total)
ival-exp: 87.0ms (7.3% of total)
ival-sqrt: 84.0ms (7% of total)
exact: 12.0ms (1% of total)
ival-true: 9.0ms (0.8% of total)
ival-assert: 5.0ms (0.4% of total)
Bogosity

explain182.0ms (1.7%)

Memory
18.5MiB live, 265.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
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))))
00-0-(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
00-0-t
00-0-(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
00-0-(/.f64 (*.f64 t t) #s(literal 2 binary64))
00-0-z
00-0-(*.f64 x #s(literal 1/2 binary64))
00-0-(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
00-0-(*.f64 t t)
00-0-#s(literal 2 binary64)
00-0-y
00-0-(*.f64 z #s(literal 2 binary64))
00-0-(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
00-0-#s(literal 1/2 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))u*o10
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))underflow1
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))overflow126
(/.f64 (*.f64 t t) #s(literal 2 binary64))overflow66
(*.f64 t t)overflow66
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-01254
Precision?
0.5
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
66.0ms512×0valid
Compiler

Compiled 145 to 49 computations (66.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 15.0ms (50.5% of total)
ival-exp: 4.0ms (13.5% of total)
ival-sqrt: 4.0ms (13.5% of total)
ival-sub: 3.0ms (10.1% of total)
ival-div: 3.0ms (10.1% of total)
exact: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess213.0ms (2%)

Memory
-6.7MiB live, 127.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072234
1198230
2624230
31954230
46120230
01517
02416
14316
210016
327116
474316
5372116
0887916
Stop Event
iter limit
node limit
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 (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)))
Symmetry

(abs t)

Compiler

Compiled 17 to 15 computations (11.8% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify174.0ms (1.6%)

Memory
4.6MiB live, 153.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff0
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
cost-diff1
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01562
02460
14360
210060
327160
474360
5372160
0887960
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (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 (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 (*.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

localize91.0ms (0.8%)

Memory
-10.2MiB live, 36.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy0.006191259768442017
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
accuracy0.20312500000000003
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
accuracy0.22265625
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Samples
83.0ms256×0valid
Compiler

Compiled 64 to 17 computations (73.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-sqrt: 60.0ms (82.6% of total)
ival-mult: 7.0ms (9.6% of total)
ival-div: 2.0ms (2.8% of total)
ival-exp: 2.0ms (2.8% of total)
ival-sub: 1.0ms (1.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
5 → 36
Calls
Call 1
Inputs
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
Outputs
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 y)
(- (* 1/2 x) y)
(* 1/2 (* (* x (* (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)))))
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (- (/ y x) 1/2)))
(+ (* -1 y) (* 1/2 x))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (- (* 1/2 (/ x y)) 1))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (sqrt 2))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
1
(+ 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 (* (* (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)))))))))
(exp (* 1/2 (pow t 2)))
Calls

12 calls:

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

simplify226.0ms (2.1%)

Memory
5.3MiB live, 153.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136652
1508636
22030522
36618522
08088505
Stop Event
iter limit
node limit
Counts
36 → 36
Calls
Call 1
Inputs
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 y)
(- (* 1/2 x) y)
(* 1/2 (* (* x (* (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)))))
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (- (/ y x) 1/2)))
(+ (* -1 y) (* 1/2 x))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (- (* 1/2 (/ x y)) 1))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (sqrt 2))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
1
(+ 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 (* (* (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)))))))))
(exp (* 1/2 (pow t 2)))
Outputs
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (*.f64 y (neg.f64 (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 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* -1 y)
(neg.f64 y)
(- (* 1/2 x) y)
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.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))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1 (/ y x))))
(*.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 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.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 (* x (- (/ y x) 1/2)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(+ (* -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 (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 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))) 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))
(* y (- (* 1/2 (/ x y)) 1))
(*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (*.f64 (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 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))) 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))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (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 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 z)))
1
#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))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (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)))))))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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))))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))

rewrite192.0ms (1.8%)

Memory
-2.5MiB live, 141.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01542
02440
16539
230939
0271339
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
5 → 176
Calls
Call 1
Inputs
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
Outputs
(*.f64 (pow.f64 (exp.f64 t) (/.f64 (/.f64 t #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 t) (/.f64 (/.f64 t #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (/.f64 t #s(literal 2 binary64))) t)
(pow.f64 (exp.f64 (neg.f64 t)) (*.f64 (neg.f64 t) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (neg.f64 t)) (/.f64 t #s(literal -2 binary64)))
(pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 t) (/.f64 t #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/2 binary64))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (-.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (sinh.f64 (*.f64 t t)) #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 (cosh.f64 (*.f64 t t)) #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))))) (*.f64 (sqrt.f64 (fma.f64 (cosh.f64 (*.f64 t t)) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) (sqrt.f64 (fma.f64 (cosh.f64 (*.f64 t t)) #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 t t)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (cosh.f64 (*.f64 t t)) #s(literal 2 binary64) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (-.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 2 binary64)) (exp.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) (/.f64 (pow.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (exp.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))))
(-.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) (sinh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))))
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 t)) (/.f64 t #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 t) t)) #s(literal 1/2 binary64)))
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (-.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (-.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 2 binary64)))))
(+.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))))
(+.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (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 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) 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 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)))) (fma.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))) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64))))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (sqrt.f64 (pow.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 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t))))
(*.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t))) (-.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)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (/.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x y)))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) x (neg.f64 y)))
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(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (/.f64 (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal 1/2 binary64) x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal 1/2 binary64) x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal 1/2 binary64) x y)))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) x) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal 1/2 binary64) x y)))
(-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 x (fma.f64 #s(literal 1/2 binary64) x y))) (*.f64 y (/.f64 y (fma.f64 #s(literal 1/2 binary64) x y))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(+.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 x (fma.f64 #s(literal 1/2 binary64) x y))) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal 1/2 binary64) x y)))
(*.f64 (neg.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.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 (*.f64 (log.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))))

eval34.0ms (0.3%)

Memory
4.9MiB live, 49.0MiB allocated
Compiler

Compiled 6 970 to 770 computations (89% saved)

prune58.0ms (0.5%)

Memory
-24.4MiB live, 19.8MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New18916205
Fresh000
Picked101
Done000
Total19016206
Accuracy
100.0%
Counts
206 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.0%
(*.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)))) (fma.f64 #s(literal 1/2 binary64) x y)) (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 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))))
77.5%
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal 1/2 binary64) x y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
75.0%
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
99.3%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
99.3%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
99.5%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
95.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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))))
95.0%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
88.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
58.0%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
94.6%
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
93.4%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
58.4%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
65.0%
(*.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)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
88.5%
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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))))
Compiler

Compiled 816 to 654 computations (19.9% saved)

simplify205.0ms (1.9%)

Memory
3.6MiB live, 99.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)))
cost-diff0
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
cost-diff1
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
cost-diff1
(fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 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)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
cost-diff1
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff0
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
cost-diff0
(*.f64 x #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 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff0
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053442
090434
1160434
2404434
31404434
45234434
08068429
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 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))
(pow.f64 (exp.f64 t) t)
(exp.f64 t)
t
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (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 (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)
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 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)
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(/.f64 (*.f64 t t) #s(literal 2 binary64))
(*.f64 t t)
t
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)))
(*.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))
(*.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))))
(sqrt.f64 z)
z
(fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
y
#s(literal -1/2 binary64)
(neg.f64 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 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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 (*.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 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))
(*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)
(pow.f64 (exp.f64 t) t)
(exp.f64 t)
t
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) 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 (exp (/ (* t t) 2)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.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 #s(literal 2 binary64) z)) (-.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)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (-.f64 (*.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 #s(literal 2 binary64) z)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 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)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (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)
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.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 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(sqrt.f64 z)
z
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(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
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))) (sqrt.f64 (pow.f64 (exp.f64 t) t)))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))
(*.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))
(*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(*.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))))
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(sqrt.f64 z)
z
(fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
y
#s(literal -1/2 binary64)
(neg.f64 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

localize291.0ms (2.7%)

Memory
-2.3MiB live, 144.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.20703125
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)
accuracy0.4765625
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy2.372480646732692
(*.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))))
accuracy6.778227639005808
(*.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))
accuracy0.006191259768442017
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
accuracy0.20312500000000003
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
accuracy0.22265625
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.43720629884221013
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
accuracy0.09765625
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
accuracy0.20312500000000003
(*.f64 (*.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))))
accuracy0.22265625
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy4.467685240146347
#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)))
accuracy0.0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy0.20312500000000003
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
accuracy0.22265625
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy30.76843002073517
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy0.0
(exp.f64 t)
accuracy0.00390625
(pow.f64 (exp.f64 t) t)
accuracy0.0078125
(*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))
accuracy0.09765625
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))))
Samples
177.0ms256×0valid
Compiler

Compiled 381 to 46 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 150.0ms
ival-div: 52.0ms (34.6% of total)
ival-add: 50.0ms (33.3% of total)
ival-mult: 25.0ms (16.7% of total)
ival-sqrt: 6.0ms (4% of total)
ival-pow: 5.0ms (3.3% of total)
ival-exp: 4.0ms (2.7% of total)
const: 4.0ms (2.7% of total)
ival-sub: 3.0ms (2% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series289.0ms (2.7%)

Memory
-3.9MiB live, 131.1MiB allocated
Counts
27 → 89
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.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)) #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 (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.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)))
(*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))
(pow.f64 (exp.f64 t) t)
(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 (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)))
(*.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))
(*.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))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)
Outputs
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* -1 y)
(- (* 1/2 x) y)
(* 1/2 x)
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(sqrt 2)
(+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))
(* (sqrt z) (sqrt 2))
(+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))
(* x (sqrt 2))
(/ (* x (sqrt 2)) y)
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ 1/2 (* -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)))))
(* -1/2 (/ (* x (sqrt 2)) y))
(* x (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x)))
(* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))
(* x (+ (* -1/2 (* (/ (sqrt 2) y) (sqrt z))) (* (/ (sqrt 2) x) (sqrt z))))
(* -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 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y)))))
(* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z))))))
(+ (* -1 y) (* 1/2 x))
(/ (+ (* -1/2 (* x (sqrt 2))) (* y (sqrt 2))) y)
(/ (+ (* -1/2 (* (* x (sqrt 2)) (sqrt z))) (* (* y (sqrt 2)) (sqrt z))) y)
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (- (* 1/2 (/ x y)) 1))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* 2 (* z (exp (pow t 2))))
(* -1 (* (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))) (sqrt z)))
(* (sqrt z) (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (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) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2))))
(* (* y (* (pow (sqrt -1) 2) (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) (sqrt z))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) 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)))))))))
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)))))))
(* 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 (pow t 2))
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))
(+ 1 t)
(+ 1 (* t (+ 1 (* 1/2 t))))
(+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t))))))
1/8
(+ 1/8 (* 1/48 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (pow t 2))
(exp t)
(* 1/48 (pow t 2))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
Calls

12 calls:

TimeVariablePointExpression
125.0ms
z
@0
((* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (pow (exp t) t) (* z 2))) (* (* (- (* 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))) (exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (pow (exp t) t) (* z 2)) (pow (exp t) t) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (* (sqrt z) (sqrt 2)) (* (* (sqrt z) (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2))) (neg y)) (* (sqrt z) (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2))) (* (sqrt 2) x) (/ (* (sqrt 2) x) y))
85.0ms
t
@0
((* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (pow (exp t) t) (* z 2))) (* (* (- (* 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))) (exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (pow (exp t) t) (* z 2)) (pow (exp t) t) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (* (sqrt z) (sqrt 2)) (* (* (sqrt z) (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2))) (neg y)) (* (sqrt z) (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2))) (* (sqrt 2) x) (/ (* (sqrt 2) x) y))
18.0ms
y
@0
((* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (pow (exp t) t) (* z 2))) (* (* (- (* 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))) (exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (pow (exp t) t) (* z 2)) (pow (exp t) t) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (* (sqrt z) (sqrt 2)) (* (* (sqrt z) (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2))) (neg y)) (* (sqrt z) (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2))) (* (sqrt 2) x) (/ (* (sqrt 2) x) y))
14.0ms
z
@-inf
((* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (pow (exp t) t) (* z 2))) (* (* (- (* 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))) (exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (pow (exp t) t) (* z 2)) (pow (exp t) t) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (* (sqrt z) (sqrt 2)) (* (* (sqrt z) (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2))) (neg y)) (* (sqrt z) (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2))) (* (sqrt 2) x) (/ (* (sqrt 2) x) y))
10.0ms
z
@inf
((* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (pow (exp t) t) (* z 2))) (* (* (- (* 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))) (exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (pow (exp t) t) (* z 2)) (pow (exp t) t) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (* (sqrt z) (sqrt 2)) (* (* (sqrt z) (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2))) (neg y)) (* (sqrt z) (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2))) (* (sqrt 2) x) (/ (* (sqrt 2) x) y))

simplify289.0ms (2.7%)

Memory
-1.7MiB live, 137.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03071535
112031457
251641394
088291333
Stop Event
iter limit
node limit
Counts
89 → 89
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))))
(sqrt 2)
(+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))
(* (sqrt z) (sqrt 2))
(+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))
(* x (sqrt 2))
(/ (* x (sqrt 2)) y)
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ 1/2 (* -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)))))
(* -1/2 (/ (* x (sqrt 2)) y))
(* x (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x)))
(* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))
(* x (+ (* -1/2 (* (/ (sqrt 2) y) (sqrt z))) (* (/ (sqrt 2) x) (sqrt z))))
(* -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 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y)))))
(* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z))))))
(+ (* -1 y) (* 1/2 x))
(/ (+ (* -1/2 (* x (sqrt 2))) (* y (sqrt 2))) y)
(/ (+ (* -1/2 (* (* x (sqrt 2)) (sqrt z))) (* (* y (sqrt 2)) (sqrt z))) y)
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (- (* 1/2 (/ x y)) 1))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* 2 (* z (exp (pow t 2))))
(* -1 (* (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))) (sqrt z)))
(* (sqrt z) (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (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) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2))))
(* (* y (* (pow (sqrt -1) 2) (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) (sqrt z))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) 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)))))))))
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)))))))
(* 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 (pow t 2))
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))
(+ 1 t)
(+ 1 (* t (+ 1 (* 1/2 t))))
(+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t))))))
1/8
(+ 1/8 (* 1/48 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (pow t 2))
(exp t)
(* 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 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) x (*.f64 (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 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(* -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 (sqrt.f64 z) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(/ (* x (sqrt 2)) y)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)
(* 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) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)))))
(* 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) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)) (sqrt.f64 z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(*.f64 (*.f64 x (*.f64 (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) (fma.f64 (*.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))
(* -1/2 (/ (* x (sqrt 2)) y))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64))
(* x (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x)))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) x)
(* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y))
(* x (+ (* -1/2 (* (/ (sqrt 2) y) (sqrt z))) (* (/ (sqrt 2) x) (sqrt z))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) x)
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)))))
(* -1 (* x (- (/ y x) 1/2)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)) (sqrt.f64 z))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))
(* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y)))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) x)
(* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z))))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) x)
(+ (* -1 y) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(/ (+ (* -1/2 (* x (sqrt 2))) (* y (sqrt 2))) y)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) y)
(/ (+ (* -1/2 (* (* x (sqrt 2)) (sqrt z))) (* (* y (sqrt 2)) (sqrt z))) y)
(/.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x y))) 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)) (neg.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) y)
(* y (- (* 1/2 (/ x y)) 1))
(*.f64 (-.f64 (*.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 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (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)) (neg.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y (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 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))
(* (sqrt (* z (exp (pow t 2)))) (* (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 (*.f64 (pow.f64 (exp.f64 t) t) z)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt z) (* (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 z)) (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))
(* 2 (* z (exp (pow t 2))))
(*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 (exp.f64 t) t))
(* -1 (* (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))) (sqrt z)))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))
(* (sqrt z) (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 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 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 (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 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))))
(*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.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)))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 z)))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(* (* y (* (pow (sqrt -1) 2) (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) (sqrt z))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 t t)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))
(fma.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.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))))) #s(literal 1/2 binary64)) (*.f64 t t)))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))
(fma.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 t t)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/6 binary64) z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)))) #s(literal 1/2 binary64))))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 t t) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) z) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (*.f64 t t) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))
(fma.f64 (sqrt.f64 z) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 t t) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) z (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/6 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)))) #s(literal 1/2 binary64))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(fma.f64 (fma.f64 (*.f64 (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 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)))) (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(fma.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 t t)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))))
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))
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(*.f64 (*.f64 (fma.f64 t t #s(literal 1 binary64)) z) #s(literal 2 binary64))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))
(fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))
(fma.f64 (*.f64 (fma.f64 t t #s(literal 1 binary64)) 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 (pow t 2))
(fma.f64 t t #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))
(fma.f64 t t (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))
(fma.f64 t t (fma.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) #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))
1/8
#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)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(exp (pow t 2))
(pow.f64 (exp.f64 t) t)
(exp t)
(exp.f64 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)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) #s(literal 1/48 binary64)) t) t)

rewrite311.0ms (2.9%)

Memory
17.9MiB live, 203.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053308
090297
1257297
21341297
08243297
Stop Event
iter limit
node limit
iter limit
Counts
27 → 520
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.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)) #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 (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.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)))
(*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))
(pow.f64 (exp.f64 t) t)
(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 (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)))
(*.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))
(*.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))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)
Outputs
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t))))
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(fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)))
(fma.f64 (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(fma.f64 (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(fma.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (/.f64 (*.f64 #s(literal 2 binary64) z) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(-.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (/.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) y) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (neg.f64 y)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)))
(-.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y))) #s(literal -1/2 binary64)))
(-.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal 1/2 binary64)) (sqrt.f64 z)))
(-.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (*.f64 (neg.f64 x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(+.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 x y) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) y))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) y))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (neg.f64 y)))

eval150.0ms (1.4%)

Memory
-9.2MiB live, 137.2MiB allocated
Compiler

Compiled 25 015 to 2 472 computations (90.1% saved)

prune38.0ms (0.4%)

Memory
11.3MiB live, 57.1MiB allocated
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New57618594
Fresh8311
Picked415
Done000
Total58822610
Accuracy
100.0%
Counts
610 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
99.8%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))))
99.5%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64)))))
99.8%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))
86.9%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(approx (pow (exp t) t) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64)))))
94.3%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
58.0%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
77.5%
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal 1/2 binary64) x y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
75.0%
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
57.8%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
49.3%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
95.6%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
57.8%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
95.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (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))))
95.0%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
88.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
96.5%
(*.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 #s(literal 2 binary64) z)))
59.7%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
61.7%
(*.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 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
32.5%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 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)))
55.4%
(*.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)) (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))))
28.1%
(*.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 1 223 to 958 computations (21.7% saved)

simplify172.0ms (1.6%)

Memory
11.2MiB live, 152.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff0
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)))
cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
cost-diff2
(*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z))
cost-diff0
(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))
cost-diff0
#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)))
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))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
cost-diff0
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.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 #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)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
cost-diff0
(sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.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 (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
cost-diff0
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff0
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048421
079406
1158406
2366406
31149406
43983406
08144406
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 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))
(exp.f64 (*.f64 t t))
(*.f64 t t)
t
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.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 (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))
#s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 t t)
t
#s(literal 1 binary64)
(*.f64 (*.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 #s(literal 2 binary64) z)))
(*.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))
#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 1/2 binary64)
#s(literal 1 binary64)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
y
(sqrt.f64 (*.f64 #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) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
#s(literal 1/4 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 (exp.f64 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 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 (exp.f64 t) t)))
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 (exp.f64 t) t))
(exp.f64 (*.f64 t t))
(pow.f64 (exp.f64 t) t)
(*.f64 t t)
t
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.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 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
y
(sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))
#s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 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)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 t t)
t
#s(literal 1 binary64)
(*.f64 (*.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 #s(literal 2 binary64) z)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 #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))
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.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 1/2 binary64)
#s(literal 1 binary64)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
y
(sqrt.f64 (*.f64 #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) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) z) z) #s(literal 1/4 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) z) z) #s(literal 1/4 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
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) z) z) #s(literal 1/4 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z))
(*.f64 (*.f64 #s(literal 4 binary64) z) z)
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
#s(literal 1/4 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)

localize213.0ms (2%)

Memory
-33.4MiB live, 270.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.20312500000000003
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
accuracy0.22265625
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)))
accuracy28.558961194805402
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))
accuracy30.76843002073517
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy0.029628759768442016
(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))
accuracy0.09765625
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
accuracy0.1015625
(*.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 #s(literal 2 binary64) z)))
accuracy4.467685240146347
#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)))
accuracy0.0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy0.20312500000000003
(*.f64 (*.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))))
accuracy0.22265625
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy14.248898946520521
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) x)
accuracy0.0
(sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))
accuracy0.09765625
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
accuracy30.556458699158878
#s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))
accuracy0.0
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))
accuracy0.0078125
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))
accuracy0.0078125
(exp.f64 (*.f64 t t))
accuracy0.09765625
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))
Samples
167.0ms256×0valid
Compiler

Compiled 349 to 48 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-mult: 60.0ms (44.7% of total)
ival-sqrt: 43.0ms (32% of total)
ival-pow: 11.0ms (8.2% of total)
ival-exp: 7.0ms (5.2% of total)
ival-add: 4.0ms (3% of total)
const: 4.0ms (3% of total)
ival-sub: 3.0ms (2.2% of total)
ival-div: 2.0ms (1.5% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series246.0ms (2.3%)

Memory
-6.9MiB live, 236.3MiB allocated
Counts
26 → 110
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 (*.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 #s(literal 2 binary64) z)))
(*.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))
#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))
(*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 t t))
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))
#s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(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 (exp (/ (* t t) 2)) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 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 (* y (exp (* 1/2 (pow t 2)))))
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (pow t 2))))))
(* -1 (* (pow 4 1/4) (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z))))
(+ (* -1 (* (pow 4 1/4) (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* (* x (exp (* 1/2 (pow t 2)))) (sqrt z)))))
(* -1 (* (pow 4 1/4) (* y (sqrt z))))
(+ (* -1 (* (pow 4 1/4) (* y (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* x (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 (* x (exp (* 1/2 (pow t 2)))))
(* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2))))))
(* 1/2 (* (pow 4 1/4) (* (* x (exp (* 1/2 (pow t 2)))) (sqrt z))))
(* x (+ (* -1 (* (pow 4 1/4) (* (/ (* y (exp (* 1/2 (pow t 2)))) x) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2))))))))
(* 1/2 (* (pow 4 1/4) (* x (sqrt z))))
(* x (+ (* -1 (* (pow 4 1/4) (* (/ y x) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (sqrt z)))))
(* -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 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))
(* -1 (* x (+ (* -1/2 (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2)))))) (* (pow 4 1/4) (* (/ (* y (exp (* 1/2 (pow t 2)))) x) (sqrt z))))))
(* -1 (* x (+ (* -1/2 (* (pow 4 1/4) (sqrt z))) (* (pow 4 1/4) (* (/ y 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)))))
(* y (+ (* -1 (exp (* 1/2 (pow t 2)))) (* 1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y))))
(* y (+ (* -1 (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2)))))) (* 1/2 (* (pow 4 1/4) (* (/ (* x (exp (* 1/2 (pow t 2)))) y) (sqrt z))))))
(* y (+ (* -1 (* (pow 4 1/4) (sqrt z))) (* 1/2 (* (pow 4 1/4) (* (/ x 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)))))
(* -1 (* y (+ (exp (* 1/2 (pow t 2))) (* -1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y)))))
(* -1 (* y (+ (* -1/2 (* (pow 4 1/4) (* (/ (* x (exp (* 1/2 (pow t 2)))) y) (sqrt z)))) (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2))))))))
(* -1 (* y (+ (* -1/2 (* (pow 4 1/4) (* (/ x y) (sqrt z)))) (* (pow 4 1/4) (sqrt z)))))
(* (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)))
(* 4 (pow z 2))
(* (pow 4 1/4) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))))
(* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y)))
(* 2 (* z (exp (pow t 2))))
(* (sqrt z) (sqrt 2))
(* (pow 4 1/4) (sqrt 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 (* (pow 4 1/4) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (pow 4 1/4) (* (sqrt z) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (pow 4 1/4) (* (sqrt z) (sqrt -1))))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y)
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y)
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) y)
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(+ (* 1/2 (* (pow 4 1/4) (* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z)))) (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))))
(+ (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (pow 4 1/4) (* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y)))))))
(+ (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (pow 4 1/4) (* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z)))) (* 1/8 (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y)))))))))
(+ 1 (pow t 2))
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))
(* 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)))))))
1/8
(+ 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)))))
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))
(exp (* 1/2 (pow t 2)))
(* 1/48 (pow t 6))
(* (pow t 6) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (+ (* 1/8 (/ 1 (pow t 2))) (/ 1 (pow t 6))))))
(exp (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))))))
Calls

12 calls:

TimeVariablePointExpression
53.0ms
z
@0
((* (- (* 1/2 x) y) (sqrt (* (exp (* t t)) (* z 2)))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (exp (* t t)) (* z 2))) (* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (sqrt (* (pow (exp t) t) (* z 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (* t t)) 1) (* (* 2 z) (* 2 z)) (* (* (- (* x 1/2) y) (pow (* (* 2 z) (* 2 z)) 1/4)) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (pow (* (* 2 z) (* 2 z)) 1/4)) (exp (* t t)) (* (exp (* t t)) (* z 2)) (* (pow (exp t) t) (* z 2)) (exp (/ (* t t) 2)) (sqrt (* z 2)) (+ (* (* t t) 1/48) 1/8) (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (pow (* (* 2 z) (* 2 z)) 1/4))
51.0ms
z
@-inf
((* (- (* 1/2 x) y) (sqrt (* (exp (* t t)) (* z 2)))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (exp (* t t)) (* z 2))) (* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (sqrt (* (pow (exp t) t) (* z 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (* t t)) 1) (* (* 2 z) (* 2 z)) (* (* (- (* x 1/2) y) (pow (* (* 2 z) (* 2 z)) 1/4)) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (pow (* (* 2 z) (* 2 z)) 1/4)) (exp (* t t)) (* (exp (* t t)) (* z 2)) (* (pow (exp t) t) (* z 2)) (exp (/ (* t t) 2)) (sqrt (* z 2)) (+ (* (* t t) 1/48) 1/8) (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (pow (* (* 2 z) (* 2 z)) 1/4))
35.0ms
z
@inf
((* (- (* 1/2 x) y) (sqrt (* (exp (* t t)) (* z 2)))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (exp (* t t)) (* z 2))) (* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (sqrt (* (pow (exp t) t) (* z 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (* t t)) 1) (* (* 2 z) (* 2 z)) (* (* (- (* x 1/2) y) (pow (* (* 2 z) (* 2 z)) 1/4)) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (pow (* (* 2 z) (* 2 z)) 1/4)) (exp (* t t)) (* (exp (* t t)) (* z 2)) (* (pow (exp t) t) (* z 2)) (exp (/ (* t t) 2)) (sqrt (* z 2)) (+ (* (* t t) 1/48) 1/8) (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (pow (* (* 2 z) (* 2 z)) 1/4))
14.0ms
y
@inf
((* (- (* 1/2 x) y) (sqrt (* (exp (* t t)) (* z 2)))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (exp (* t t)) (* z 2))) (* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (sqrt (* (pow (exp t) t) (* z 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (* t t)) 1) (* (* 2 z) (* 2 z)) (* (* (- (* x 1/2) y) (pow (* (* 2 z) (* 2 z)) 1/4)) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (pow (* (* 2 z) (* 2 z)) 1/4)) (exp (* t t)) (* (exp (* t t)) (* z 2)) (* (pow (exp t) t) (* z 2)) (exp (/ (* t t) 2)) (sqrt (* z 2)) (+ (* (* t t) 1/48) 1/8) (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (pow (* (* 2 z) (* 2 z)) 1/4))
10.0ms
t
@inf
((* (- (* 1/2 x) y) (sqrt (* (exp (* t t)) (* z 2)))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (exp (* t t)) (* z 2))) (* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (sqrt (* (pow (exp t) t) (* z 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (* t t)) 1) (* (* 2 z) (* 2 z)) (* (* (- (* x 1/2) y) (pow (* (* 2 z) (* 2 z)) 1/4)) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (pow (* (* 2 z) (* 2 z)) 1/4)) (exp (* t t)) (* (exp (* t t)) (* z 2)) (* (pow (exp t) t) (* z 2)) (exp (/ (* t t) 2)) (sqrt (* z 2)) (+ (* (* t t) 1/48) 1/8) (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (pow (* (* 2 z) (* 2 z)) 1/4))

simplify212.0ms (2%)

Memory
13.8MiB live, 150.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03982151
115402088
265231977
080891913
Stop Event
iter limit
node limit
Counts
110 → 110
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 (* y (exp (* 1/2 (pow t 2)))))
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (pow t 2))))))
(* -1 (* (pow 4 1/4) (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z))))
(+ (* -1 (* (pow 4 1/4) (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* (* x (exp (* 1/2 (pow t 2)))) (sqrt z)))))
(* -1 (* (pow 4 1/4) (* y (sqrt z))))
(+ (* -1 (* (pow 4 1/4) (* y (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* x (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 (* x (exp (* 1/2 (pow t 2)))))
(* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2))))))
(* 1/2 (* (pow 4 1/4) (* (* x (exp (* 1/2 (pow t 2)))) (sqrt z))))
(* x (+ (* -1 (* (pow 4 1/4) (* (/ (* y (exp (* 1/2 (pow t 2)))) x) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2))))))))
(* 1/2 (* (pow 4 1/4) (* x (sqrt z))))
(* x (+ (* -1 (* (pow 4 1/4) (* (/ y x) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (sqrt z)))))
(* -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 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))
(* -1 (* x (+ (* -1/2 (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2)))))) (* (pow 4 1/4) (* (/ (* y (exp (* 1/2 (pow t 2)))) x) (sqrt z))))))
(* -1 (* x (+ (* -1/2 (* (pow 4 1/4) (sqrt z))) (* (pow 4 1/4) (* (/ y 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)))))
(* y (+ (* -1 (exp (* 1/2 (pow t 2)))) (* 1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y))))
(* y (+ (* -1 (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2)))))) (* 1/2 (* (pow 4 1/4) (* (/ (* x (exp (* 1/2 (pow t 2)))) y) (sqrt z))))))
(* y (+ (* -1 (* (pow 4 1/4) (sqrt z))) (* 1/2 (* (pow 4 1/4) (* (/ x 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)))))
(* -1 (* y (+ (exp (* 1/2 (pow t 2))) (* -1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y)))))
(* -1 (* y (+ (* -1/2 (* (pow 4 1/4) (* (/ (* x (exp (* 1/2 (pow t 2)))) y) (sqrt z)))) (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2))))))))
(* -1 (* y (+ (* -1/2 (* (pow 4 1/4) (* (/ x y) (sqrt z)))) (* (pow 4 1/4) (sqrt z)))))
(* (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)))
(* 4 (pow z 2))
(* (pow 4 1/4) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))))
(* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y)))
(* 2 (* z (exp (pow t 2))))
(* (sqrt z) (sqrt 2))
(* (pow 4 1/4) (sqrt 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 (* (pow 4 1/4) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (pow 4 1/4) (* (sqrt z) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (pow 4 1/4) (* (sqrt z) (sqrt -1))))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y)
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y)
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) y)
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(+ (* 1/2 (* (pow 4 1/4) (* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z)))) (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))))
(+ (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (pow 4 1/4) (* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y)))))))
(+ (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (pow 4 1/4) (* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z)))) (* 1/8 (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y)))))))))
(+ 1 (pow t 2))
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))
(* 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)))))))
1/8
(+ 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)))))
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))
(exp (* 1/2 (pow t 2)))
(* 1/48 (pow t 6))
(* (pow t 6) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (+ (* 1/8 (/ 1 (pow t 2))) (/ 1 (pow t 6))))))
(exp (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))))))
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 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x (*.f64 (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 (sqrt.f64 z) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))
(* -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 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* y (exp (* 1/2 (pow t 2)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (neg.f64 y))
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (pow t 2))))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* -1 (* (pow 4 1/4) (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z))))
(*.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) y) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(+ (* -1 (* (pow 4 1/4) (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* (* x (exp (* 1/2 (pow t 2)))) (sqrt z)))))
(fma.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) y)) (sqrt.f64 z) (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) x) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(* -1 (* (pow 4 1/4) (* y (sqrt z))))
(*.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) y) (sqrt.f64 z))
(+ (* -1 (* (pow 4 1/4) (* y (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* x (sqrt z)))))
(fma.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) y) (sqrt.f64 z) (*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) x) (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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (*.f64 (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)))) 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) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)) (sqrt.f64 z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(*.f64 (*.f64 x (*.f64 (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) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (sqrt.f64 z))))
(* 1/2 (* x (exp (* 1/2 (pow t 2)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (*.f64 #s(literal 1/2 binary64) x))
(* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2))))))
(*.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (neg.f64 y)) x)) x)
(* 1/2 (* (pow 4 1/4) (* (* x (exp (* 1/2 (pow t 2)))) (sqrt z))))
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) x) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(* x (+ (* -1 (* (pow 4 1/4) (* (/ (* y (exp (* 1/2 (pow t 2)))) x) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2))))))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 y x)))))
(* 1/2 (* (pow 4 1/4) (* x (sqrt z))))
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) x) (sqrt.f64 z))
(* x (+ (* -1 (* (pow 4 1/4) (* (/ y x) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (sqrt z)))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 y x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (*.f64 (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)))) x)
(* -1 (* x (- (/ y x) 1/2)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)) (sqrt.f64 z))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (sqrt.f64 z))))
(* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))
(*.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (neg.f64 y)) x)) x)
(* -1 (* x (+ (* -1/2 (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2)))))) (* (pow 4 1/4) (* (/ (* y (exp (* 1/2 (pow t 2)))) x) (sqrt z))))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 y x)))))
(* -1 (* x (+ (* -1/2 (* (pow 4 1/4) (sqrt z))) (* (pow 4 1/4) (* (/ y x) (sqrt z))))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 y x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))))
(+ (* -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 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 y))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(* y (+ (* -1 (exp (* 1/2 (pow t 2)))) (* 1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 x y)) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)))) y)
(* y (+ (* -1 (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2)))))) (* 1/2 (* (pow 4 1/4) (* (/ (* x (exp (* 1/2 (pow t 2)))) y) (sqrt z))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 x y)) (sqrt.f64 z)) (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) (neg.f64 y))
(* y (+ (* -1 (* (pow 4 1/4) (sqrt z))) (* 1/2 (* (pow 4 1/4) (* (/ x y) (sqrt z))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) y)) (sqrt.f64 z) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z))) (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 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 y))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(* -1 (* y (+ (exp (* 1/2 (pow t 2))) (* -1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y)))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 x y)) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)))) y)
(* -1 (* y (+ (* -1/2 (* (pow 4 1/4) (* (/ (* x (exp (* 1/2 (pow t 2)))) y) (sqrt z)))) (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2))))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 x y)) (sqrt.f64 z)) (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) (neg.f64 y))
(* -1 (* y (+ (* -1/2 (* (pow 4 1/4) (* (/ x y) (sqrt z)))) (* (pow 4 1/4) (sqrt z)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) y)) (sqrt.f64 z) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z))) (neg.f64 y))
(* (sqrt (* z (exp (pow t 2)))) (* (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 (*.f64 (pow.f64 (exp.f64 t) t) z)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt z) (* (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 z)) (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))
(* 4 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 4 binary64))
(* (pow 4 1/4) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t)))
(* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y)))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* 2 (* z (exp (pow t 2))))
(*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 (exp.f64 t) t))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(* (pow 4 1/4) (sqrt z))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (neg.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 (*.f64 (pow.f64 (exp.f64 t) t) z)))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 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 z)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(* -1 (* (pow 4 1/4) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -1) (- (* 1/2 x) y))))))
(*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(* -1 (* (pow 4 1/4) (* (sqrt z) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) (sqrt.f64 z))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* (pow 4 1/4) (* (sqrt z) (sqrt -1))))
(*.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* (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 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.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))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) #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) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))
(fma.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/6 binary64) z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)))) #s(literal 1/2 binary64))))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) z) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (*.f64 t t) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))
(fma.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) z (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/6 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)))) #s(literal 1/2 binary64))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(fma.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))))
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y)
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 t t) x) #s(literal 1/2 binary64)) y)
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) y)
(-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 t t) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))))) y)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 (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 (* (pow 4 1/4) (* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z)))) (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) t) t) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))
(+ (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (pow 4 1/4) (* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) t) t) (sqrt.f64 z)) (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))
(+ (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (pow 4 1/4) (* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z)))) (* 1/8 (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y)))))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) t) t) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) (*.f64 t t))) (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))
(+ 1 (pow t 2))
(fma.f64 t t #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))
(fma.f64 t t (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))
(fma.f64 t t (fma.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(*.f64 (*.f64 (fma.f64 t t #s(literal 1 binary64)) z) #s(literal 2 binary64))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))
(fma.f64 (*.f64 (fma.f64 t t #s(literal 1 binary64)) z) #s(literal 2 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) z))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))
(fma.f64 (fma.f64 (fma.f64 t t #s(literal 2 binary64)) z (*.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) z) #s(literal 1/3 binary64))) (*.f64 t t) (*.f64 #s(literal 2 binary64) z))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* 1/48 (pow t 2)))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (pow t 2)))
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64))
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(* 1/48 (pow t 6))
(*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/48 binary64))
(* (pow t 6) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) #s(literal 1/48 binary64)) (pow.f64 t #s(literal 6 binary64)))
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(*.f64 (-.f64 (+.f64 (/.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 6 binary64)))
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (+ (* 1/8 (/ 1 (pow t 2))) (/ 1 (pow t 6))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64))) #s(literal 1/48 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 t t)))) (pow.f64 t #s(literal 6 binary64)))
(exp (pow t 2))
(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)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) #s(literal 1/48 binary64)) t) t)
(* 1/48 (pow t 4))
(*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/48 binary64))
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(*.f64 (pow.f64 t #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) #s(literal 1/48 binary64)))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(*.f64 (-.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)))

rewrite233.0ms (2.2%)

Memory
1.4MiB live, 186.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048329
079308
1261305
21352305
08278305
Stop Event
iter limit
node limit
iter limit
Counts
26 → 504
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 (*.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 #s(literal 2 binary64) z)))
(*.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))
#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))
(*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 t t))
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))
#s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(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 (exp (/ (* t t) 2)) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 (exp.f64 t) t))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 (exp.f64 t) t))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 (exp.f64 t) t))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))
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(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 t #s(literal 6 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) t))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) t))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) t))))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 t #s(literal 6 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) t))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) (*.f64 t #s(literal 1/2 binary64))))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 t #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) (*.f64 t #s(literal 1/2 binary64))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 t #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) (*.f64 t #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) (*.f64 t #s(literal 1/2 binary64))))))
(+.f64 (*.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 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 t) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)))) t))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)))) (*.f64 t t)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) t))
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z))
(*.f64 (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 z) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 #s(literal 4 binary64))))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (cosh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (sinh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) (-.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (sinh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (cosh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (sinh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (sinh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (-.f64 z z))) (sqrt.f64 (-.f64 z z)))
(/.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 z z (*.f64 (*.f64 #s(literal 2 binary64) z) (-.f64 z z)))))
(neg.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64))))
(neg.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64))))
(exp.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 4 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (sinh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))

eval292.0ms (2.7%)

Memory
17.2MiB live, 163.4MiB allocated
Compiler

Compiled 22 490 to 2 534 computations (88.7% saved)

prune105.0ms (1%)

Memory
-12.7MiB live, 82.1MiB allocated
Pruning

31 alts after pruning (27 fresh and 4 done)

PrunedKeptTotal
New52815543
Fresh41216
Picked235
Done011
Total53431565
Accuracy
100.0%
Counts
565 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
74.9%
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
89.5%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
57.8%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (pow.f64 (pow.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
99.8%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))))
99.5%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64)))))
99.8%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))
86.9%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(approx (pow (exp t) t) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64)))))
94.3%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
58.0%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
77.5%
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal 1/2 binary64) x y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
75.0%
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
95.6%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
57.8%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
88.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
96.5%
(*.f64 (*.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))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
95.4%
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) #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 #s(literal 2 binary64) z)))
96.5%
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.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)) t) t #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
90.6%
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
59.5%
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
59.5%
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
60.0%
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))
28.2%
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
59.7%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
49.5%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
61.7%
(*.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 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
32.5%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 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)))
55.4%
(*.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)) (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))))
28.1%
(*.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)))
84.9%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (sqrt.f64 z))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
94.7%
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
Compiler

Compiled 1 723 to 1 333 computations (22.6% saved)

simplify246.0ms (2.3%)

Memory
19.7MiB live, 284.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y)))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
cost-diff0
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
cost-diff0
#s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y))
cost-diff0
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
cost-diff1
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64))
cost-diff3
(*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)
cost-diff0
(sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.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 (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
cost-diff0
(sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff0
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064503
0103497
1179497
2417497
31311497
44294489
08700488
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 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #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
(*.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 (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
#s(approx (- (* 1/2 x) y) (neg.f64 y))
(neg.f64 y)
y
(sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))
#s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
#s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y))
(*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))
#s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y)))
(*.f64 x x)
x
#s(literal 1/4 binary64)
(*.f64 y (neg.f64 y))
y
(neg.f64 y)
(sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))
#s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(fma.f64 x #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
x
(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))
(sqrt.f64 z)
z
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (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 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x y))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
y
(sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (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) (*.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))
(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
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))) #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 (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))
#s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
#s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y))
#s(approx (- (* 1/2 x) y) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)))
(*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x y))
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))
#s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y))
(*.f64 x x)
x
#s(literal 1/4 binary64)
(*.f64 y (neg.f64 y))
(*.f64 (neg.f64 y) y)
y
(neg.f64 y)
(sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))
#s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(fma.f64 x #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.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 (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) x) (sqrt.f64 z))))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) x) (sqrt.f64 z)))
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) x) (sqrt.f64 z))
(*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x)
x
(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))
(sqrt.f64 z)
z
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (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)

localize205.0ms (1.9%)

Memory
14.2MiB live, 352.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.21875
(*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
accuracy0.41701127930532605
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
accuracy4.467685240146347
#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)))
accuracy27.7877555427736
#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))))
accuracy2.1623371776935207
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
accuracy3.0468646791510294
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y)))
accuracy10.535232207324329
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
accuracy30.556458699158878
#s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))
accuracy0.0
#s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y))
accuracy0.09765625
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
accuracy8.98242493586363
(*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)
accuracy30.556458699158878
#s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))
accuracy0.0
(neg.f64 y)
accuracy0.09765625
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
accuracy30.556458699158878
#s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))
accuracy34.3204968990986
#s(approx (- (* 1/2 x) y) (neg.f64 y))
accuracy0.00390625
(pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)
accuracy0.0078125
(*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64)))
accuracy0.09765625
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64)))))
accuracy29.94411720127285
#s(approx (exp t) (+.f64 #s(literal 1 binary64) t))
Samples
162.0ms256×0valid
Compiler

Compiled 378 to 56 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-mult: 41.0ms (43.2% of total)
ival-pow: 18.0ms (19% of total)
ival-div: 8.0ms (8.4% of total)
ival-add: 8.0ms (8.4% of total)
ival-sqrt: 6.0ms (6.3% of total)
ival-exp: 4.0ms (4.2% of total)
const: 4.0ms (4.2% of total)
ival-sub: 3.0ms (3.2% of total)
ival-neg: 2.0ms (2.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series97.0ms (0.9%)

Memory
23.9MiB live, 164.2MiB allocated
Counts
25 → 96
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
#s(approx (- (* 1/2 x) y) (neg.f64 y))
(neg.f64 y)
(sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))
(*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
#s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y)))
(*.f64 x x)
(*.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 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
#s(approx (exp t) (+.f64 #s(literal 1 binary64) t))
(*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64)))
(pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)
#s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))
Outputs
(* -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) (* 1/2 x))
-1
(- (* 1/2 (/ x y)) 1)
(* -1 (* (* (pow y 2) (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(pow x 2)
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 1/2 (* x (sqrt z)))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 (/ x y))
(* x (- (* 1/2 (/ 1 y)) (/ 1 x)))
(* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (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 x) (* 1/2 (/ 1 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)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(/ (+ (* -1 y) (* 1/2 x)) y)
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (- (* 1/2 (/ x y)) 1))
(* (pow y 2) (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2))))))))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 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 (pow t 2)))) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* 2 (* z (exp (pow t 2))))
(* -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 (pow t 2)))) (/ (* (sqrt -2) (* (sqrt -1) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z)))
(* -1/2 (* (* x (pow (sqrt -1) 2)) (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)))))))))
(* (sqrt z) (sqrt 2))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))
(* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (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) (+ (* 1/2 (* (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))) (- (* 1/2 z) (* 1/4 z))))) (+ y (* 1/2 x))) (sqrt (/ 1 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) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (* (sqrt 2) (* (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))) (- (* 1/2 z) (* 1/4 z)))) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (* (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z))))))) (+ y (* 1/2 x))) (sqrt (/ 1 z)))))))))
(* (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) (+ (* 1/2 (* (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))) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 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) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z))))))) (sqrt (/ 1 z)))))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
1
(+ 1 t)
(+ 1 (* t (+ 1 (* 1/2 t))))
(+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t))))))
(* 2 z)
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))
(+ 1 (pow t 2))
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp t)
(exp (pow t 2))
(exp (* 1/2 (pow t 2)))
Calls

12 calls:

TimeVariablePointExpression
18.0ms
z
@0
((* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (pow (exp t) t) (* z 2))) (* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (- (* 1/2 x) y) (neg y) (sqrt (* (pow (exp t) t) (* z 2))) (* (+ (* (/ (neg x) y) -1/2) -1) y) (+ (* (/ (neg x) y) -1/2) -1) (* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (- (* 1/2 x) y) (/ (* (+ (* (* x x) 1/4) (* y (neg y))) (sqrt (* (pow (exp t) t) (* z 2)))) (+ (* x 1/2) y)) (* (+ (* (* x x) 1/4) (* y (neg y))) (sqrt (* (pow (exp t) t) (* z 2)))) (+ (* (* x x) 1/4) (* y (neg y))) (* x x) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* x (* (sqrt z) 1/2)) (sqrt 2)) (* x (* (sqrt z) 1/2)) (exp t) (* (pow (exp t) t) (* z 2)) (pow (exp t) t) (* (pow (exp t) t) (* z 2)) (exp (/ (* t t) 2)))
18.0ms
z
@-inf
((* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (pow (exp t) t) (* z 2))) (* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (- (* 1/2 x) y) (neg y) (sqrt (* (pow (exp t) t) (* z 2))) (* (+ (* (/ (neg x) y) -1/2) -1) y) (+ (* (/ (neg x) y) -1/2) -1) (* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (- (* 1/2 x) y) (/ (* (+ (* (* x x) 1/4) (* y (neg y))) (sqrt (* (pow (exp t) t) (* z 2)))) (+ (* x 1/2) y)) (* (+ (* (* x x) 1/4) (* y (neg y))) (sqrt (* (pow (exp t) t) (* z 2)))) (+ (* (* x x) 1/4) (* y (neg y))) (* x x) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* x (* (sqrt z) 1/2)) (sqrt 2)) (* x (* (sqrt z) 1/2)) (exp t) (* (pow (exp t) t) (* z 2)) (pow (exp t) t) (* (pow (exp t) t) (* z 2)) (exp (/ (* t t) 2)))
11.0ms
z
@inf
((* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (pow (exp t) t) (* z 2))) (* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (- (* 1/2 x) y) (neg y) (sqrt (* (pow (exp t) t) (* z 2))) (* (+ (* (/ (neg x) y) -1/2) -1) y) (+ (* (/ (neg x) y) -1/2) -1) (* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (- (* 1/2 x) y) (/ (* (+ (* (* x x) 1/4) (* y (neg y))) (sqrt (* (pow (exp t) t) (* z 2)))) (+ (* x 1/2) y)) (* (+ (* (* x x) 1/4) (* y (neg y))) (sqrt (* (pow (exp t) t) (* z 2)))) (+ (* (* x x) 1/4) (* y (neg y))) (* x x) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* x (* (sqrt z) 1/2)) (sqrt 2)) (* x (* (sqrt z) 1/2)) (exp t) (* (pow (exp t) t) (* z 2)) (pow (exp t) t) (* (pow (exp t) t) (* z 2)) (exp (/ (* t t) 2)))
10.0ms
x
@-inf
((* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (pow (exp t) t) (* z 2))) (* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (- (* 1/2 x) y) (neg y) (sqrt (* (pow (exp t) t) (* z 2))) (* (+ (* (/ (neg x) y) -1/2) -1) y) (+ (* (/ (neg x) y) -1/2) -1) (* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (- (* 1/2 x) y) (/ (* (+ (* (* x x) 1/4) (* y (neg y))) (sqrt (* (pow (exp t) t) (* z 2)))) (+ (* x 1/2) y)) (* (+ (* (* x x) 1/4) (* y (neg y))) (sqrt (* (pow (exp t) t) (* z 2)))) (+ (* (* x x) 1/4) (* y (neg y))) (* x x) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* x (* (sqrt z) 1/2)) (sqrt 2)) (* x (* (sqrt z) 1/2)) (exp t) (* (pow (exp t) t) (* z 2)) (pow (exp t) t) (* (pow (exp t) t) (* z 2)) (exp (/ (* t t) 2)))
7.0ms
x
@0
((* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (pow (exp t) t) (* z 2))) (* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (- (* 1/2 x) y) (neg y) (sqrt (* (pow (exp t) t) (* z 2))) (* (+ (* (/ (neg x) y) -1/2) -1) y) (+ (* (/ (neg x) y) -1/2) -1) (* (- (* 1/2 x) y) (sqrt (* (pow (exp t) t) (* z 2)))) (- (* 1/2 x) y) (/ (* (+ (* (* x x) 1/4) (* y (neg y))) (sqrt (* (pow (exp t) t) (* z 2)))) (+ (* x 1/2) y)) (* (+ (* (* x x) 1/4) (* y (neg y))) (sqrt (* (pow (exp t) t) (* z 2)))) (+ (* (* x x) 1/4) (* y (neg y))) (* x x) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* x (* (sqrt z) 1/2)) (sqrt 2)) (* x (* (sqrt z) 1/2)) (exp t) (* (pow (exp t) t) (* z 2)) (pow (exp t) t) (* (pow (exp t) t) (* z 2)) (exp (/ (* t t) 2)))

simplify229.0ms (2.1%)

Memory
7.9MiB live, 279.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03652090
114011985
261761911
089281829
Stop Event
iter limit
node limit
Counts
96 → 96
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) (* 1/2 x))
-1
(- (* 1/2 (/ x y)) 1)
(* -1 (* (* (pow y 2) (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(pow x 2)
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 1/2 (* x (sqrt z)))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 (/ x y))
(* x (- (* 1/2 (/ 1 y)) (/ 1 x)))
(* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (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 x) (* 1/2 (/ 1 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)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(/ (+ (* -1 y) (* 1/2 x)) y)
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (- (* 1/2 (/ x y)) 1))
(* (pow y 2) (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2))))))))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 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 (pow t 2)))) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* 2 (* z (exp (pow t 2))))
(* -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 (pow t 2)))) (/ (* (sqrt -2) (* (sqrt -1) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z)))
(* -1/2 (* (* x (pow (sqrt -1) 2)) (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)))))))))
(* (sqrt z) (sqrt 2))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))
(* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (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) (+ (* 1/2 (* (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))) (- (* 1/2 z) (* 1/4 z))))) (+ y (* 1/2 x))) (sqrt (/ 1 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) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (* (sqrt 2) (* (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))) (- (* 1/2 z) (* 1/4 z)))) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (* (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z))))))) (+ y (* 1/2 x))) (sqrt (/ 1 z)))))))))
(* (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) (+ (* 1/2 (* (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))) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 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) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z))))))) (sqrt (/ 1 z)))))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
1
(+ 1 t)
(+ 1 (* t (+ 1 (* 1/2 t))))
(+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t))))))
(* 2 z)
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))
(+ 1 (pow t 2))
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp t)
(exp (pow t 2))
(exp (* 1/2 (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 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 y)
(neg.f64 y)
(- (* 1/2 x) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* -1 y) (* 1/2 x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
-1
#s(literal -1 binary64)
(- (* 1/2 (/ x y)) 1)
(-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* -1 (* (* (pow y 2) (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)))
(+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)))
(* -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))
(pow x 2)
(*.f64 x 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 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))))
(* -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 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))
(* 1/2 (* x (sqrt z)))
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x)
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (neg.f64 x))) x)
(* x (+ 1/2 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 y)) (/ 1 x)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)) x)
(* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)))
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (*.f64 (/.f64 y x) (/.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (neg.f64 x)))) (*.f64 x x))
(* 1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1/4 binary64)) x) x)
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x))) x)
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (/.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))) x)
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)))))
(* -1 (* x (- (/ y x) 1/2)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 y)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) 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 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)) (sqrt.f64 z))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(/ (+ (* -1 y) (* 1/2 x)) y)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) y)
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(*.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)))) y)
(* y (- (* 1/2 (/ x y)) 1))
(*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
(* (pow y 2) (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2))))))))
(*.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z))) (*.f64 y y))) (*.f64 y y))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
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(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))
(fma.f64 t t (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))
(fma.f64 t t (fma.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
(exp t)
(exp.f64 t)
(exp (pow t 2))
(pow.f64 (exp.f64 t) t)
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))

rewrite248.0ms (2.3%)

Memory
9.4MiB live, 401.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064348
0103346
1310334
21725334
08430334
Stop Event
iter limit
node limit
iter limit
Counts
25 → 464
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
#s(approx (- (* 1/2 x) y) (neg.f64 y))
(neg.f64 y)
(sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))
(*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
#s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y)))
(*.f64 x x)
(*.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 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
#s(approx (exp t) (+.f64 #s(literal 1 binary64) t))
(*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64)))
(pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)
#s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (sqrt.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)))) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) (fma.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (*.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (-.f64 (pow.f64 (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 y y))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (fma.f64 x #s(literal 1/2 binary64) y))
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(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) #s(literal 2 binary64))) (/.f64 t #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t))) (*.f64 #s(literal 2 binary64) (/.f64 t #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t))) (/.f64 (+.f64 t t) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))
(+.f64 (cosh.f64 (log.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (sinh.f64 (log.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))))
#s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))

eval98.0ms (0.9%)

Memory
7.9MiB live, 224.0MiB allocated
Compiler

Compiled 24 886 to 2 334 computations (90.6% saved)

prune83.0ms (0.8%)

Memory
-5.3MiB live, 179.4MiB allocated
Pruning

34 alts after pruning (27 fresh and 7 done)

PrunedKeptTotal
New56312575
Fresh71522
Picked235
Done044
Total57234606
Accuracy
100.0%
Counts
606 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.4%
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* y (neg y))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1/4 binary64)) x) x)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
31.3%
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* y (neg y))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
26.8%
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* y (neg y))) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
48.2%
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (/.f64 (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)))
74.9%
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
89.5%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
57.8%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (pow.f64 (pow.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
99.8%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))))
99.5%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64)))))
99.8%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))
86.9%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(approx (pow (exp t) t) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64)))))
94.3%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
58.0%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
57.8%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (pow (exp t) t) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
77.5%
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal 1/2 binary64) x y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
88.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
96.5%
(*.f64 (*.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))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
95.4%
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) #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 #s(literal 2 binary64) z)))
96.5%
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.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)) t) t #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
90.6%
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
59.5%
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
59.5%
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
34.1%
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 #s(approx (+ (* (/ (neg x) y) -1/2) -1) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
60.0%
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64)))))
28.2%
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
61.7%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
55.4%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (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))))
49.5%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
61.7%
(*.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 (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))))
61.3%
(*.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)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
32.5%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
61.8%
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) x)) #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))))
28.1%
(*.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)))
94.7%
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
Compiler

Compiled 2 866 to 1 102 computations (61.5% saved)

regimes327.0ms (3%)

Memory
-3.4MiB live, 306.7MiB allocated
Counts
62 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #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 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (pow (exp t) t) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(approx (pow (exp t) t) (fma.f64 t t #s(literal 1 binary64))) (*.f64 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 #s(approx (+ (* (/ (neg x) y) -1/2) -1) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) 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)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* y (neg y))) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* y (neg y))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (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 (* (pow (exp t) t) (* z 2)) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) #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 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (/.f64 (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) x)) #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 #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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #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 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.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)) t) t #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) #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)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.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(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 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.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 #s(approx (+ (* (* x x) 1/4) (* y (neg y))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1/4 binary64)) x) x)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (sqrt.f64 z))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64)))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.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)))) (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 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (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 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.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)))) (fma.f64 #s(literal 1/2 binary64) x y)) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal 1/2 binary64) x y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (pow.f64 (pow.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))))
Calls

13 calls:

98.0ms
(*.f64 x #s(literal 1/2 binary64))
57.0ms
z
19.0ms
x
18.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
17.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Results
AccuracySegmentsBranch
99.8%1(*.f64 t t)
99.8%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
99.8%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
99.8%1(*.f64 z #s(literal 2 binary64))
99.8%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
99.8%1(*.f64 x #s(literal 1/2 binary64))
99.8%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
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 (-.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%1x
99.8%1y
99.8%1z
99.8%1t
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes192.0ms (1.8%)

Memory
-2.4MiB live, 278.3MiB allocated
Counts
60 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #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 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (pow (exp t) t) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(approx (pow (exp t) t) (fma.f64 t t #s(literal 1 binary64))) (*.f64 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 #s(approx (+ (* (/ (neg x) y) -1/2) -1) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) 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)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* y (neg y))) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* y (neg y))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (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 (* (pow (exp t) t) (* z 2)) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) #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 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (/.f64 (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) x)) #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 #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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #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 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.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)) t) t #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) #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)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.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(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 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.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 #s(approx (+ (* (* x x) 1/4) (* y (neg y))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1/4 binary64)) x) x)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (sqrt.f64 z))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64)))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.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)))) (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 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (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 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.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)))) (fma.f64 #s(literal 1/2 binary64) x y)) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal 1/2 binary64) x y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (pow.f64 (pow.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))
Calls

13 calls:

16.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
16.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
16.0ms
y
16.0ms
t
15.0ms
x
Results
AccuracySegmentsBranch
99.8%1(*.f64 t t)
99.8%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
99.8%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
99.8%1(*.f64 z #s(literal 2 binary64))
99.8%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
99.8%1(*.f64 x #s(literal 1/2 binary64))
99.8%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
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 (-.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%1x
99.8%1y
99.8%1z
99.8%1t
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes168.0ms (1.6%)

Memory
-4.0MiB live, 283.1MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #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 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (pow (exp t) t) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(approx (pow (exp t) t) (fma.f64 t t #s(literal 1 binary64))) (*.f64 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 #s(approx (+ (* (/ (neg x) y) -1/2) -1) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) 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)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* y (neg y))) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* y (neg y))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (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 (* (pow (exp t) t) (* z 2)) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) #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 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (/.f64 (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) x)) #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 #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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #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 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.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)) t) t #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) #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)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.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(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 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.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 #s(approx (+ (* (* x x) 1/4) (* y (neg y))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1/4 binary64)) x) x)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (sqrt.f64 z))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64)))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64)))))
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64)))))
Calls

13 calls:

19.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
17.0ms
(*.f64 x #s(literal 1/2 binary64))
14.0ms
(*.f64 z #s(literal 2 binary64))
14.0ms
t
13.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.5%1(*.f64 t t)
99.5%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
99.5%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
99.5%1(*.f64 z #s(literal 2 binary64))
99.5%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
99.5%1(*.f64 x #s(literal 1/2 binary64))
99.5%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
99.5%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
99.5%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))))
99.5%1x
99.5%1y
99.5%1z
99.5%1t
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes190.0ms (1.8%)

Memory
-10.9MiB live, 226.9MiB allocated
Counts
46 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #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 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (pow (exp t) t) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(approx (pow (exp t) t) (fma.f64 t t #s(literal 1 binary64))) (*.f64 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 #s(approx (+ (* (/ (neg x) y) -1/2) -1) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) 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)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* y (neg y))) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* y (neg y))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (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 (* (pow (exp t) t) (* z 2)) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) #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 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (/.f64 (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) x)) #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 #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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #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 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.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)) t) t #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) #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)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.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(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 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.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 #s(approx (+ (* (* x x) 1/4) (* y (neg y))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1/4 binary64)) x) x)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (sqrt.f64 z))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64)))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.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)) t) t #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
Calls

13 calls:

30.0ms
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
26.0ms
x
16.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
14.0ms
z
13.0ms
(*.f64 t t)
Results
AccuracySegmentsBranch
96.5%1(*.f64 t t)
96.5%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
96.5%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
96.5%1(*.f64 z #s(literal 2 binary64))
96.5%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
96.5%1(*.f64 x #s(literal 1/2 binary64))
96.5%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
96.5%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
96.5%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))))
96.5%1x
96.5%1y
96.5%1z
96.5%1t
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes234.0ms (2.2%)

Memory
9.3MiB live, 111.2MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #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 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (pow (exp t) t) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(approx (pow (exp t) t) (fma.f64 t t #s(literal 1 binary64))) (*.f64 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 #s(approx (+ (* (/ (neg x) y) -1/2) -1) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) 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)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* y (neg y))) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* y (neg y))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (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 (* (pow (exp t) t) (* z 2)) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) #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 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (/.f64 (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) x)) #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 #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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #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 #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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
Calls

13 calls:

132.0ms
x
16.0ms
z
8.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
8.0ms
(*.f64 z #s(literal 2 binary64))
8.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Results
AccuracySegmentsBranch
96.5%1(*.f64 z #s(literal 2 binary64))
96.5%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
96.5%1z
96.5%1(*.f64 t t)
96.5%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
96.5%1(*.f64 x #s(literal 1/2 binary64))
96.5%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
96.5%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
96.5%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))))
96.5%1x
96.5%1y
96.5%1t
96.5%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes110.0ms (1%)

Memory
-12.6MiB live, 174.8MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #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 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (pow (exp t) t) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(approx (pow (exp t) t) (fma.f64 t t #s(literal 1 binary64))) (*.f64 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 #s(approx (+ (* (/ (neg x) y) -1/2) -1) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) 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)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* y (neg y))) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* y (neg y))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (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 (* (pow (exp t) t) (* z 2)) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) #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 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) (/.f64 (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) x)) #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))))
Outputs
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) #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 #s(literal 2 binary64) z)))
Calls

13 calls:

11.0ms
(*.f64 x #s(literal 1/2 binary64))
11.0ms
x
10.0ms
z
10.0ms
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
8.0ms
(*.f64 z #s(literal 2 binary64))
Results
AccuracySegmentsBranch
95.4%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
95.4%1(*.f64 z #s(literal 2 binary64))
95.4%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
95.4%1y
95.4%1z
95.4%1(*.f64 t t)
95.4%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
95.4%1(*.f64 x #s(literal 1/2 binary64))
95.4%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
95.4%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
95.4%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
95.4%1x
95.4%1t
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes98.0ms (0.9%)

Memory
4.3MiB live, 137.9MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #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 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (pow (exp t) t) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(approx (pow (exp t) t) (fma.f64 t t #s(literal 1 binary64))) (*.f64 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 #s(approx (+ (* (/ (neg x) y) -1/2) -1) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) 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)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* y (neg y))) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* y (neg y))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (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 (* (pow (exp t) t) (* z 2)) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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))))
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
Calls

13 calls:

10.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
9.0ms
x
6.0ms
t
6.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
6.0ms
(*.f64 z #s(literal 2 binary64))
Results
AccuracySegmentsBranch
94.3%1(*.f64 z #s(literal 2 binary64))
94.3%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
94.3%1(*.f64 x #s(literal 1/2 binary64))
94.3%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
94.3%1x
94.3%1z
94.3%1(*.f64 t t)
94.3%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
94.3%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
94.3%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
94.3%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
94.3%1y
94.3%1t
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes82.0ms (0.8%)

Memory
9.8MiB live, 151.5MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #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 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (pow (exp t) t) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(approx (pow (exp t) t) (fma.f64 t t #s(literal 1 binary64))) (*.f64 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 #s(approx (+ (* (/ (neg x) y) -1/2) -1) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) 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)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* y (neg y))) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* y (neg y))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
Calls

13 calls:

17.0ms
(*.f64 t t)
8.0ms
x
5.0ms
(*.f64 x #s(literal 1/2 binary64))
5.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
5.0ms
(*.f64 z #s(literal 2 binary64))
Results
AccuracySegmentsBranch
90.6%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
90.6%1(*.f64 z #s(literal 2 binary64))
90.6%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
90.6%1(*.f64 x #s(literal 1/2 binary64))
90.6%1x
90.6%1y
90.6%1z
90.6%1(*.f64 t t)
90.6%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
90.6%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
90.6%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
90.6%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))))
90.6%1t
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes58.0ms (0.5%)

Memory
5.0MiB live, 52.3MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #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 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (pow (exp t) t) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(approx (pow (exp t) t) (fma.f64 t t #s(literal 1 binary64))) (*.f64 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 #s(approx (+ (* (/ (neg x) y) -1/2) -1) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) 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)) #s(literal 1 binary64)))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(approx (pow (exp t) t) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64)))))
Calls

13 calls:

14.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
4.0ms
x
4.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
4.0ms
(*.f64 x #s(literal 1/2 binary64))
4.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
86.9%1(*.f64 z #s(literal 2 binary64))
86.9%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
86.9%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
86.9%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
86.9%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))))
86.9%1z
86.9%1(*.f64 t t)
86.9%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
86.9%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
86.9%1y
86.9%1t
86.9%1(*.f64 x #s(literal 1/2 binary64))
86.9%1x
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes42.0ms (0.4%)

Memory
-14.4MiB live, 40.7MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #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 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (pow (exp t) t) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
Calls

13 calls:

14.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
2.0ms
(*.f64 x #s(literal 1/2 binary64))
2.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
2.0ms
x
2.0ms
(*.f64 z #s(literal 2 binary64))
Results
AccuracySegmentsBranch
63.2%2(*.f64 t t)
63.2%2(/.f64 (*.f64 t t) #s(literal 2 binary64))
59.5%1(*.f64 z #s(literal 2 binary64))
59.5%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
59.5%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
63.2%3(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
59.5%1z
63.2%2t
63.2%2(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
61.3%2(*.f64 x #s(literal 1/2 binary64))
59.5%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
61.3%2x
59.5%1y
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes30.0ms (0.3%)

Memory
20.5MiB live, 62.9MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #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 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (pow (exp t) t) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
Calls

13 calls:

6.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
2.0ms
(*.f64 z #s(literal 2 binary64))
2.0ms
(*.f64 x #s(literal 1/2 binary64))
2.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
2.0ms
x
Results
AccuracySegmentsBranch
58.0%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
58.0%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
58.0%1(*.f64 z #s(literal 2 binary64))
58.0%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
58.0%1y
58.0%1z
58.0%1(*.f64 x #s(literal 1/2 binary64))
58.0%1x
58.0%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
58.0%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
58.0%1(*.f64 t t)
58.0%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
58.0%1t
Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes17.0ms (0.2%)

Memory
3.3MiB live, 48.2MiB 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 (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
Outputs
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
Calls

13 calls:

5.0ms
x
1.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
1.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
1.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
1.0ms
(*.f64 x #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
28.2%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
28.2%1(*.f64 x #s(literal 1/2 binary64))
28.2%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
28.2%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
28.2%1x
28.2%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
28.2%1(*.f64 z #s(literal 2 binary64))
28.2%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
28.2%1y
28.2%1z
28.2%1(*.f64 t t)
28.2%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
28.2%1t
Compiler

Compiled 60 to 88 computations (-46.7% saved)

bsearch22.0ms (0.2%)

Memory
-0.9MiB live, 42.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
1.123914839629507e-33
3.8229762545045766e-31
Samples
14.0ms128×0valid
Compiler

Compiled 388 to 350 computations (9.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (53.5% of total)
ival-sub: 1.0ms (13.4% of total)
ival-div: 1.0ms (13.4% of total)
ival-exp: 1.0ms (13.4% of total)
ival-sqrt: 1.0ms (13.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify59.0ms (0.5%)

Memory
-0.1MiB live, 57.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092321
1126321
2199321
3406321
4921321
54028321
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.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)) t) t #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.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))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) #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 #s(literal 2 binary64) z)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(approx (pow (exp t) t) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64)))))
(if (<=.f64 t #s(literal 2169416492913059/5708990770823839524233143877797980545530986496 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.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)) t) t #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.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))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) #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 #s(literal 2 binary64) z)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))))
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(approx (pow (exp t) t) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64)))))
(if (<=.f64 t #s(literal 2169416492913059/5708990770823839524233143877797980545530986496 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (pow (exp t) t) (* z 2)) (*.f64 #s(literal 2 binary64) z))))

soundness1.3s (12.2%)

Memory
2.8MiB live, 1 008.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03982151
115402088
265231977
080891913
048329
079308
1261305
21352305
08278305
03071535
112031457
251641394
088291333
01542
02440
16539
230939
0271339
0136652
1508636
22030522
36618522
08088505
053308
090297
1257297
21341297
08243297
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 106 to 653 computations (41% saved)

preprocess100.0ms (0.9%)

Memory
25.6MiB live, 207.7MiB allocated
Compiler

Compiled 752 to 284 computations (62.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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